Author: "Philippe Castagliola" - Searchworks@Jio Institute Digital Library Search Results

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239 results on '"Philippe Castagliola"'

51. A new adaptive control chart for the simultaneous monitoring of the mean and variability of multivariate normal processes

Author: Philippe Castagliola, Hamed Sabahno, Amirhossein Amiri, Shahed University [Téhéran], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), and Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Multivariate statistics, 021103 operations research, Adaptive control, General Computer Science, Markov chain, Computer science, SIGNAL (programming language), 0211 other engineering and technologies, General Engineering, Multivariate normal distribution, 02 engineering and technology, Bivariate analysis, [STAT]Statistics [stat], Chart, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Control chart, Algorithm, ComputingMilieux_MISCELLANEOUS
Abstract: This paper considers adaptive schemes for the simultaneous monitoring of the mean and variability of a multivariate normal quality characteristic. At first, we extend an already existing bivariate non-adaptive simultaneous control chart to a multivariate one. Then, we develop several adaptive schemes, which will cover both previously bivariate and newly multivariate charts. After having designed adaptive schemes for the multivariate chart, eight performance measures are computed based on the run length, time to signal, number of observations to signal and number of switches to signal and evaluated using a new Markov chain model. With the developed performance measures, non-adaptive and adaptive schemes under different mean, variability, simultaneous shift sizes, and different number of quality characteristics are compared. Our scheme is also compared to one of the best methods available in the literature. A numerical example is also provided in order to demonstrate how the adaptive scheme can be implemented in practice.
Published: 2021

52. The effect of measurement errors on the performance of the homogenously weighted moving average X ¯ monitoring scheme with estimated parameters

Author: Maonatlala Thanwane, Philippe Castagliola, Jean-Claude Malela-Majika, Sandile Charles Shongwe, University of South Africa (UNISA), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), and Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Statistics and Probability, Homogenously Weighted Moving Average scheme, Phase (waves), 02 engineering and technology, Multiple measurements, 01 natural sciences, 010104 statistics & probability, Measurement error, Robustness (computer science), Moving average, Linearly increasing variance, 0202 electrical engineering, electronic engineering, information engineering, Parameter estimation, 0101 mathematics, Mathematics, Observational error, Estimation theory, Applied Mathematics, Sampling (statistics), [STAT]Statistics [stat], Sample size determination, Modeling and Simulation, Linear covariate error model, 020201 artificial intelligence & image processing, Statistics, Probability and Uncertainty, Algorithm, Smoothing
Abstract: International audience; Classical monitoring schemes are typically designed under the assumption of known process parameters, perfect measurements and normality. In real-life applications, these assumptions are often violated. Thus, their Phase II performances are negatively affected by both measurement errors and parameter estimation. In this paper, the performance of the homogenously weighted moving average (HWMA) scheme is investigated under the assumption of unknown process parameters with and without measurement errors using the characteristics of the run-length distribution through intensive simulations. The negative effect of measurement errors is reduced using multiple measurements sampling strategy. The effects of the Phase I sample size on the Phase II performance as well as the robustness to non-normality of the HWMA scheme are also investigated. Moreover, it is found that the negative effect of the measurement errors is higher as the smoothing parameter increases and the larger the Phase I sample size, the smaller the effect of measurement errors. Moreover, the Phase II performance of the HWMA ̅ scheme is compared with the corresponding memory-type monitoring schemes under the effect of both parameter estimation and measurement errors. An illustrative example is given to demonstrate the implementation in real-life applications.
Published: 2021

53. Monitoring the coefficient of variation: A literature review

Author: Philippe Castagliola, Michael B. C. Khoo, Amirhossein Amiri, Zahra Jalilibal, Shahed University [Téhéran], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Universiti Sains Malaysia (USM), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: 0209 industrial biotechnology, General Computer Science, Coefficient of variation, Control chart, Statistical process monitoring (SPM), General Engineering, Process (computing), 02 engineering and technology, Variance (accounting), 01 natural sciences, Field (geography), Standard deviation, Linear function, Phase II, [STAT]Statistics [stat], 010104 statistics & probability, 020901 industrial engineering & automation, Phase I, Statistics, [SPI.GPROC]Engineering Sciences [physics]/Chemical and Process Engineering, 0101 mathematics, Coefficient of variation (CV), Statistic, Mathematics
Abstract: International audience; There are some situations when the process mean fluctuates from time to time but is still considered as incontrol and the process standard deviation is a linear function of the process mean. In addition, in some cases, the mean and the variance of a process are actually dependent on each other. In these situations, many researchers have suggested to monitor the CV (Coefficient of Variation) as a single statistic. In this paper, a rigorous content analysis method (based on 71 related studies in this area from 2007 to 2021) is applied to categorize the articles that use the coefficient of variation in the SPM (statistical process monitoring) field, to identify the research gaps and to provide guidance to stimulate further researches in this direction.
Published: 2021

54. Side‐sensitive modified group runs charts with and without measurement errors for monitoring the coefficient of variation

Author: Sajal Saha, Abdul Haq, Michael B. C. Khoo, Philippe Castagliola, International University of Business Agriculture and Technology (IUBAT), Universiti Sains Malaysia (USM), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Quaid-i-Azam University (QAU), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: side-sensitive modified group runs (SSMGR), Accuracy and precision, 021103 operations research, Observational error, Coefficient of variation, Average run length, 0211 other engineering and technologies, average run length, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Standard deviation, [STAT]Statistics [stat], 010104 statistics & probability, Chart, Statistics, Control chart, Sensitivity (control systems), 0101 mathematics, Safety, Risk, Reliability and Quality, standard deviation of the run length, measurement error, Mathematics
Abstract: International audience; The coefficient of variation (CV) is used in process monitoring when the process mean and standard deviation are proportional to each other. In this work, a side-sensitive modified group runs CV (SSMGR CV) chart is proposed for monitoring the process CV. The run length performance of the SSMGR CV chart is compared with those of the existing CV charts in terms of the average and standard deviation of the run length criteria. The SSMGR CV chart is found to outperform the existing CV charts. In addition, the run length performance of the SSMGR CV chart is also evaluated in the presence of measurement errors, as these errors are not only unavoidable in practice but they also affect the sensitivity of a control chart in detecting an out-ofcontrol situation. The results obtained show that the accuracy and precision errors affect the performance of the SSMGR CV chart in detecting an out-of-control situation.
Published: 2021

55. Performance of the MEWMA‐CoDa control chart in the presence of measurement errors

Author: Kim Phuc Tran, Michael B. C. Khoo, Fatima Sehar Zaidi, Philippe Castagliola, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), and Universiti Sains Malaysia (USM)
Subjects: 021103 operations research, Observational error, Markov chain, 0211 other engineering and technologies, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Coda, [STAT]Statistics [stat], 010104 statistics & probability, Statistical process monitoring, Control chart, 0101 mathematics, Safety, Risk, Reliability and Quality, Algorithm, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: International audience
Published: 2020

56. A hybrid genetic algorithm for a multilevel assembly replenishment planning problem with stochastic lead times

Author: Alexandre Dolgui, Philippe Castagliola, Faicel Hnaien, Oussama Ben-Ammar, Département Sciences de la Fabrication et Logistique (SFL-ENSMSE), École des Mines de Saint-Étienne (Mines Saint-Étienne MSE), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-CMP-GC, Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes (LIMOS), Ecole Nationale Supérieure des Mines de St Etienne-Université Clermont Auvergne [2017-2020] (UCA [2017-2020])-Centre National de la Recherche Scientifique (CNRS), Département de Mathématiques et Informatique - Université de Nantes, Université de Nantes (UN), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Département Automatique, Productique et Informatique (IMT Atlantique - DAPI), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Technologie de Troyes (UTT), Laboratoire d'Optimisation des Systèmes Industriels (LOSI), Institut Charles Delaunay (ICD), Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS)-Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Ecole Nationale Supérieure des Mines de St Etienne (ENSM ST-ETIENNE)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020])-Centre National de la Recherche Scientifique (CNRS), Systèmes Logistiques et de Production (LS2N - équipe SLP ), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), IMT Atlantique (IMT Atlantique), Ecole Nationale Supérieure des Mines de St Etienne-Centre National de la Recherche Scientifique (CNRS)-Université Clermont Auvergne [2017-2020] (UCA [2017-2020]), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Nantes (ECN)-Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Nantes (ECN)-Université de Nantes - Faculté des Sciences et des Techniques
Subjects: Mathematical optimization, 021103 operations research, General Computer Science, Branch and bound, Computer science, Total cost, Computation, Replenishment planning, 0211 other engineering and technologies, General Engineering, Holding cost, Statistical model, Assemble-to-order, 02 engineering and technology, [INFO.INFO-RO]Computer Science [cs]/Operations Research [cs.RO], Genetic algorithms, Assembly systems, Discrete optimization, Stochastic lead-times, Genetic algorithm, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Bill of materials
Abstract: International audience; This paper on replenishment planning for multi-level assembly systems with several components at each level deals with the problem of calculating planned lead-times when the real lead-times for all components are assumed to be stochastic. This problem is already treated in the literature by using a recursive procedure and a Branch and Bound algorithm. Here, in order to decrease the computation time, a novel generalized probabilistic model based on an iterative approach is developed. The proposed model calculates the expected total cost, which is composed of the inventory holding cost for components and the backlogging and inventory holding costs for the finished product. An iterative approach and a hybrid genetic algorithm are introduced to determine the planned order release dates for components at the last level of the bill of materials that minimizes the expected total cost. Experimental results show that the proposed optimization algorithm efficiently finds good-quality approximate solutions regardless of the type of assembly system, the number of components at the last level and the variability of the finished product-related costs.
Published: 2020

57. Side-sensitive synthetic and runs-rules charts for monitoring AR(1) processes with skipping sampling strategies

Author: Philippe Castagliola, Thapelo Molahloe, Jean-Claude Malela-Majika, Sandile Charles Shongwe, University of South Africa (UNISA), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: Statistics and Probability, 021103 operations research, Markov chain, Autocorrelation, 0211 other engineering and technologies, Process (computing), Sampling (statistics), 02 engineering and technology, computer.software_genre, 01 natural sciences, Variety (cybernetics), [STAT]Statistics [stat], 010104 statistics & probability, Autoregressive model, Transition probability matrix, Data mining, 0101 mathematics, computer, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: Side-sensitive Shewhart-type designs have been shown in a variety of process monitoring contexts to increase the performance of traditional charts when the process observations are independent and ...
Published: 2020

58. A combined mixed-s-skip sampling strategy to reduce the effect of autocorrelation on the X̄ scheme with and without measurement errors

Author: Jean-Claude Malela-Majika, Philippe Castagliola, Sandile Charles Shongwe, University of South Africa (UNISA), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: Statistics and Probability, Scheme (programming language), 0209 industrial biotechnology, Observational error, Autocorrelation, Sampling (statistics), 02 engineering and technology, Articles, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, 020901 industrial engineering & automation, Zero state response, 0101 mathematics, Statistics, Probability and Uncertainty, computer, Algorithm, ComputingMilieux_MISCELLANEOUS, Mathematics, computer.programming_language
Abstract: In order to reduce the effect of autocorrelation on the [Image: see text] monitoring scheme, a new sampling strategy is proposed to form rational subgroup samples of size n. It requires sampling to be done such that: (i) observations from two consecutive samples are merged, and (ii) some consecutive observations are skipped before sampling. This technique which is a generalized version of the mixed samples strategy is shown to yield a better reduction of the negative effect of autocorrelation when monitoring the mean of processes with and without measurement errors. For processes subjected to a combined effect of autocorrelation and measurement errors, the proposed sampling technique, together with multiple measurement strategy, yields an uniformly better zero-state run-length performance than its two main existing competitors for any autocorrelation level. However, in steady-state mode, it yields the best performance only when the monitoring process is subject to a high level of autocorrelation, for any given level of measurement errors. A real life example is used to illustrate the implementation of the proposed sampling strategy.
Published: 2020

59. A distribution-free EWMA control chart for monitoring time-between-events-and-amplitude data

Author: Giovanni Celano, Philippe Castagliola, Shu Wu, Wuhan University of Science and Technology, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Università di Catania (Università di Catania), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), and Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Statistics and Probability, Distribution free, Computer science, Markov chain, 0211 other engineering and technologies, Magnitude (mathematics), statistical process monitoring, 02 engineering and technology, Interval (mathematics), Distribution-free, time between events and amplitude, 01 natural sciences, 010104 statistics & probability, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], Control chart, EWMA chart, 0101 mathematics, ComputingMilieux_MISCELLANEOUS, Event (probability theory), 021103 operations research, Articles, 15. Life on land, Amplitude, Statistics, Probability and Uncertainty, Algorithm
Abstract: Many control charts have been developed for the simultaneous monitoring of the time interval T between successive occurrences of an event E and its magnitude X. All these TBEA (Time Between Events and Amplitude) control charts assume a known distribution for the random variables T and X. But, in practice, as it is rather difficult to know their actual distributions, proposing a distribution free approach could be a way to overcome this ‘distribution choice’ dilemma. For this reason, we propose in this paper a distribution free upper-sided EWMA (Exponentially Weighted Moving Average) type control chart, for simultaneously monitoring the time interval T and the magnitude X of an event. In order to investigate the performance of this control chart and obtain its run length properties, we also develop a specific method called ‘continuousify’ which, coupled with a classical Markov chain technique, allows to obtain reliable and replicable results. A numerical comparison shows that our distribution-free EWMA TBEA chart performs as the parametric Shewhart TBEA chart, but without the need to pre-specify any distribution. An illustrative example obtained from a French forest fire database is also provided to show the implementation of the proposed EWMA TBEA control chart.
Published: 2020

60. Conditional median run length performance of the synthetic X¯ chart with unknown process parameters

Author: Xiaojian Zhou, Xuelong Hu, Philippe Castagliola, Anan Tang, Panpan Zhou, Nanjing University of Science and Technology (NJUST), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Nanjing University (NJU), Nanjing University of Science and Technology [Nanjing], Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), and Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Subjects: 021103 operations research, 0211 other engineering and technologies, Process (computing), 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, 0101 mathematics, Safety, Risk, Reliability and Quality, Algorithm, \bar x and R chart, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: International audience
Published: 2020

61. The Shewhart Sign Chart with Ties: Performance and Alternatives

Author: Kim Phuc Tran, Giovanni Celano, Philippe Castagliola, Petros Maravelakis, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), Department of Industrial Engineering [University of Catania] (DII), University of Catania [Italy], Department of Industrial Management and Technology [University of Piraeus], University of Piraeus, IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), and Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Subjects: media_common.quotation_subject, Population, 0211 other engineering and technologies, 02 engineering and technology, Process location, Device Resolution, 01 natural sciences, 010104 statistics & probability, Chart, Nonparametric control charts, Bernoulli trial, Control chart, 0101 mathematics, education, Normality, ComputingMilieux_MISCELLANEOUS, media_common, Mathematics, Event (probability theory), Discrete mathematics, education.field_of_study, 021103 operations research, [STAT]Statistics [stat], ARL, Measurement Error, Sign (mathematics), Quantile
Abstract: The Shewhart Sign (\(\text {SN}\)) control chart is a well-known distribution-free statistical process monitoring tool due to its robustness to the violation of the normality assumption for observations. To the best of our knowledge, there is not yet a thorough understanding of what happens to the statistical properties of the \(\text {SN}\) control chart in the presence of observations tied to the monitored population quantile, for example, the median: this is an event occurring in practice, in particular when the process runs in-control, because of the measurement device resolution, which inevitably introduces a rounding-off error. In this paper, we tackle the problem and show that when ties occur, the Shewhart \(\text {SN}\) control chart is no longer distribution-free, even in the presence of a small probability of having ties. To solve the problem, we discuss some procedures to handle the occurrence of ties. The study shows that the best strategy simply consists in implementing a Bernoulli trial approach: in practice, ties are reconsidered by \(50\%\) chance as being greater or smaller than the monitored population quantile. We quantitatively show that this approach allows the distribution-free properties of the Shewhart \(\text {SN}\) to be generally preserved.
Published: 2020

62. On the effect of the measurement error on Shewhart t and EWMA t control charts

Author: Philippe Castagliola, Petros Maravelakis, Giovanni Celano, Kim Phuc Tran, Huu Du Nguyen, Dong A University, Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), Department of Industrial Engineering [University of Catania] (DII), University of Catania [Italy], University of Piraeus, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: 0209 industrial biotechnology, Observational error, Computer science, Mechanical Engineering, Markov chain, t Chart, 02 engineering and technology, Measurement errors, t Chart, EWMA chart, Markov chain, Statistical process control, Industrial and Manufacturing Engineering, Computer Science Applications, [STAT]Statistics [stat], Measurement errors, 020901 industrial engineering & automation, Control and Systems Engineering, Statistics, Statistical process control, Control chart, EWMA chart, Software, ComputingMilieux_MISCELLANEOUS
Abstract: In the industrial practice, control charts are frequently implemented assuming that the quality characteristic of interest can be accurately measured without errors. In general, this assumption is not realistic: measurement error always exists in quality control applications and may considerably affect the performance of control charts in detecting the occurrence of an out-of-control condition. In this paper, the effect of measurement error on the statistical performance of Shewhart t and EWMA t control charts is investigated. Several tables are provided to show how the statistical performance of these control charts changes with different sources of the measurement error. The obtained results show that the measurement errors have a significant influence on the performance of both the Shewhart t and EWMA t control charts. Two examples in the analytical chemistry and food industry are presented to illustrate the use of the proposed charts.
Published: 2020

63. On monitoring the process mean of autocorrelated observations with measurement errors using the w‐of‐w runs‐rules scheme

Author: Sandile Charles Shongwe, Jean-Claude Malela-Majika, Philippe Castagliola, University of South Africa (UNISA), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), and Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Subjects: Scheme (programming language), 0209 industrial biotechnology, Steady state (electronics), Observational error, Markov chain, Computer science, Autocorrelation, Process (computing), 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, 020901 industrial engineering & automation, Zero state response, Control theory, 0101 mathematics, Safety, Risk, Reliability and Quality, computer, ComputingMilieux_MISCELLANEOUS, computer.programming_language
Abstract: International audience
Published: 2020

64. The performance of the adaptive EWMA median chart in the presence of measurement error

Author: Xuelong Hu, Philippe Castagliola, Anan Tang, and Jinsheng Sun
Subjects: 010104 statistics & probability, Observational error, Chart, 010401 analytical chemistry, Statistics, EWMA chart, 0101 mathematics, Management Science and Operations Research, Safety, Risk, Reliability and Quality, 01 natural sciences, 0104 chemical sciences, Mathematics
Published: 2018

65. Optimal design of the side-sensitive modified group runs (SSMGR) X¯ chart when process parameters are estimated

Author: Zhi Lin Chong, Philippe Castagliola, Huay Woon You, Wei Lin Teoh, and Michael B. C. Khoo
Subjects: Optimal design, 0209 industrial biotechnology, Mathematical optimization, Group (mathematics), Process (computing), 02 engineering and technology, Management Science and Operations Research, 03 medical and health sciences, 020901 industrial engineering & automation, 0302 clinical medicine, Chart, 030221 ophthalmology & optometry, Safety, Risk, Reliability and Quality, Mathematics
Published: 2018

66. A re-evaluation of the run rules xbar chart when the process parameters are unknown

Author: Xuelong Hu, Philippe Castagliola, Nanjing University of Science and Technology (NJUST), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: 021103 operations research, Information Systems and Management, Computer science, 0211 other engineering and technologies, Process (computing), 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Industrial engineering, [STAT]Statistics [stat], 010104 statistics & probability, Chart, Management of Technology and Innovation, Industrial relations, 0101 mathematics, Business and International Management, ComputingMilieux_MISCELLANEOUS, \bar x and R chart
Abstract: Run Rules Xˉ chart are often implemented for process monitoring. The process observations are usually assumed normally distributed, and the process parameters are assumed known. In fact, a ...
Published: 2018

67. Hotelling's T 2 control charts with fixed and variable sample sizes for monitoring short production runs

Author: Abdul Haq, Michael B. C. Khoo, Nger Ling Chong, and Philippe Castagliola
Subjects: 0209 industrial biotechnology, 02 engineering and technology, Management Science and Operations Research, 03 medical and health sciences, Variable (computer science), 020901 industrial engineering & automation, 0302 clinical medicine, Sample size determination, Statistics, 030221 ophthalmology & optometry, Production (economics), Control chart, Safety, Risk, Reliability and Quality, Mathematics
Published: 2018

68. Evaluating the effect of measurement errors on the performance of the variable sampling intervals Hotelling's T 2 control charts

Author: Amirhossein Amiri, Philippe Castagliola, Hamed Sabahno, Shahed University [Téhéran], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: 0209 industrial biotechnology, Observational error, Markov chain, 02 engineering and technology, Management Science and Operations Research, Variable sampling, Multivariate control charts, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, 020901 industrial engineering & automation, Statistics, Control chart, 0101 mathematics, Safety, Risk, Reliability and Quality, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: International audience
Published: 2018

69. One-sided control charts for monitoring the multivariate coefficient of variation in short production runs

Author: Philippe Castagliola, Ming Ha Lee, Michael B. C. Khoo, Mahfuza Khatun, Universiti Sains Malaysia (USM), Swinburne University of Technology Sarawak Campus, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: Flexibility (engineering), 0209 industrial biotechnology, Multivariate statistics, Computer science, Coefficient of variation, 020208 electrical & electronic engineering, 02 engineering and technology, Statistical process control, Reliability engineering, [STAT]Statistics [stat], 020901 industrial engineering & automation, One sided, 0202 electrical engineering, electronic engineering, information engineering, Production (economics), Control chart, Instrumentation, ComputingMilieux_MISCELLANEOUS
Abstract: In production, it is common to deal with short production runs, where flexibility is required in the built-up of parts to produce numerous variants of manufactured goods. Monitoring the multivariate coefficient of variation (MCV) is an effective method to monitor the relative multivariate variability compared with the mean. Monitoring the relative multivariate variability is important when practitioners are not interested in the changes in the mean vector or the covariance matrix. Monitoring the univariate coefficient of variation in short production runs has already been successfully executed. In this paper, the statistical performance of one-sided charts for monitoring the MCV of a multivariate process with finite horizon is investigated. Prior to this work, no attempt has been made to study process monitoring of MCV in short production runs. Investigations are made when the exact shift size can be specified and when there is a random shift size. It is found that the proposed upward chart detects an increasing shift in the MCV quicker than its downward counterpart detects a decreasing shift, for the same shift size (from the nominal value). An example is presented to illustrate the implementation of the new method.
Published: 2018

70. The Shewhart F control chart for monitoring processes with finite number of inspections

Author: Philippe Castagliola and Giovanni Celano
Subjects: 0209 industrial biotechnology, 021103 operations research, 020901 industrial engineering & automation, 0211 other engineering and technologies, Explained sum of squares, Applied mathematics, Control chart, 02 engineering and technology, Management Science and Operations Research, Safety, Risk, Reliability and Quality, Finite set, Mathematics
Published: 2018

71. Optimal design of the adaptive EWMA chart for the mean based on median run length and expected median run length

Author: Xuelong Hu, Anan Tang, Jinsheng Sun, Philippe Castagliola, Nanjing University of Science and Technology (NJUST), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: Optimal design, 021103 operations research, Information Systems and Management, Steady state (electronics), 0211 other engineering and technologies, Process (computing), Magnitude (mathematics), Ranging, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, Chart, Management of Technology and Innovation, Industrial relations, Statistics, Range (statistics), EWMA chart, 0101 mathematics, Business and International Management, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: The Adaptive Exponentially Weighted Moving Average (AEWMA) chart, which combines the Shewhart and classical EWMA schemes, is usually designed using the Average Run Length () as the criterion to be optimized. The shape of the run length distribution is known to change according to the magnitude of the shift in the process mean, ranging from highly skewed when the process is in-control or nearly to approximately symmetric when the shift is large. Therefore, the Median Run Length () provides a more meaningful interpretation than the . In this paper, the is used as an alternative performance criterion, and the AEWMA chart is optimized for a wide range of mean shifts using zero and steady state modes. Comparative results show that the suggested AEWMA chart offers a more balanced protection for detecting both small and large shifts in the process mean than the classical EWMA chart, in terms of the performance. The construction of the -based AEWMA chart is also illustrated using an example, and it is com...
Published: 2018

72. Guaranteed in-control performance of the synthetic X¯ chart with estimated parameters

Author: Philippe Castagliola, Weidong Huang, Yizhong Ma, and Xuelong Hu
Subjects: 010104 statistics & probability, 021103 operations research, Chart, Control theory, Computer science, Control (management), 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, Management Science and Operations Research, Safety, Risk, Reliability and Quality, 01 natural sciences
Published: 2018

73. The effect of measurement errors on the adaptive EWMA X¯ chart

Author: Xuelong Hu, Philippe Castagliola, Jinsheng Sun, and Anan Tang
Subjects: 010104 statistics & probability, 021103 operations research, Observational error, Control theory, 0211 other engineering and technologies, 02 engineering and technology, EWMA chart, 0101 mathematics, Management Science and Operations Research, Safety, Risk, Reliability and Quality, 01 natural sciences, Mathematics
Published: 2018

74. Control chart for monitoring the Weibull shape parameter under two competing risks

Author: Philippe Castagliola, Firoozeh Haghighi, School of Mathematics, Statistics and Computer Science [Tehran], University of Tehran, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Subjects: Statistics and Probability, 021103 operations research, 0211 other engineering and technologies, 02 engineering and technology, Competing risks, 01 natural sciences, Censoring (statistics), Shape parameter, [STAT]Statistics [stat], 010104 statistics & probability, Modeling and Simulation, Expectation–maximization algorithm, Statistics, Control chart, 0101 mathematics, ComputingMilieux_MISCELLANEOUS, Mathematics, Weibull distribution
Abstract: In this paper, we propose a control chart to monitor the Weibull shape parameter where the observations are censored due to competing risks. We assume that the failure occurs due to two competing r...
Published: 2018

75. Monitoring compositional data using multivariate exponentially weighted moving average scheme

Author: Philippe Castagliola, Kim Phuc Tran, Giovanni Celano, and Michael B. C. Khoo
Subjects: Scheme (programming language), 021103 operations research, Multivariate exponentially weighted moving average, 0211 other engineering and technologies, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, 010104 statistics & probability, 0101 mathematics, Safety, Risk, Reliability and Quality, Compositional data, computer, Algorithm, computer.programming_language, Mathematics
Published: 2018

76. Control charts for monitoring correlated counts with a finite range

Author: Philippe Castagliola, Athanasios C. Rakitzis, and Christian H. Weiß
Subjects: 021103 operations research, Binomial (polynomial), 0211 other engineering and technologies, 02 engineering and technology, Variation (game tree), Management Science and Operations Research, Statistical process control, 01 natural sciences, General Business, Management and Accounting, 010104 statistics & probability, Quasi-likelihood, Autoregressive model, Overdispersion, Modeling and Simulation, Statistics, Control chart, 0101 mathematics, Count data, Mathematics
Abstract: Correlated count data processes with a finite range can be adequately described by a first-order binomial autoregressive model. However, in several practical applications, these data demonstrate extra-binomial variation, and a more appropriate choice is the first-order beta-binomial autoregressive model. In this paper, we propose and study control charts that can be used for the monitoring of these 2 processes. Practical guidelines concerning their statistical design are provided, whereas the effect of the extra-binomial variation is investigated as well. Finally, the practical application of the proposed schemes is illustrated via a real-data example.
Published: 2017

77. Monitoring the coefficient of variation using a variable parameters chart

Author: Sok Li Lim, Philippe Castagliola, Michael B. C. Khoo, Wai Chung Yeong, Department of Operation and Management Information System, Faculty of Business and Accountancy, Universiti Sains Malaysia (USM), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: 021103 operations research, Coefficient of variation, X-bar chart, 0211 other engineering and technologies, Exponentially weighted moving average, 02 engineering and technology, 01 natural sciences, Industrial and Manufacturing Engineering, [STAT]Statistics [stat], 010104 statistics & probability, Variable (computer science), Chart, Statistics, EWMA chart, 0101 mathematics, Safety, Risk, Reliability and Quality, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: This article is the first of its kind which proposes a Variable Parameters (VP) chart to monitor the coefficient of variation (CV). Formulae for various performance measures and the algorithms to optimize these performance measures are proposed. The VP CV chart consistently outperforms the five alternative CV charts in the literature, for all shift sizes. Compared to the Exponentially Weighted Moving Average (EWMA) CV2 chart, the VP CV chart outperforms it for moderate and large shift sizes, while for small shift sizes, the EWMA CV2 chart outperforms the VP CV chart. Subsequently, the VP CV chart is implemented on an industrial example.
Published: 2017

78. An adaptive exponentially weighted moving average chart for the mean with variable sampling intervals

Author: Anan Tang, Xuelong Hu, Philippe Castagliola, and Jinsheng Sun
Subjects: 021103 operations research, Markov chain, X-bar chart, 0211 other engineering and technologies, Exponentially weighted moving average, 02 engineering and technology, Interval (mathematics), Management Science and Operations Research, 01 natural sciences, 010104 statistics & probability, Chart, Control theory, Range (statistics), Control chart, EWMA chart, 0101 mathematics, Safety, Risk, Reliability and Quality, Mathematics
Abstract: The AEWMA control chart is an adaptive EWMA (exponentially weighted moving average) type chart that combines the Shewhart and the classical EWMA schemes in a smooth way. To improve the detection performance of the FSI (fixed sampling interval) AEWMA control chart[7] in terms of the ATS(average time to signal), this paper proposes a new VSI (variable sampling interval) AEWMA control chart. A Markov chain approach is used to calculate the ATS values of the new VSI AEWMA control chart, and comparative results show that the proposed control chart performs better than the standard FSI AEWMA control chart and than other VSI control charts over a wide range of shifts.
Published: 2017

79. Guaranteed conditional design of the median chart with estimated parameters

Author: Philippe Castagliola and Xuelong Hu
Subjects: Measure (data warehouse), 021103 operations research, Average run length, 0211 other engineering and technologies, Process (computing), 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Standard deviation, 010104 statistics & probability, Chart, Statistics, Outlier, Control chart, 0101 mathematics, Safety, Risk, Reliability and Quality, Mathematics
Abstract: A common assumption for most control charts is the fact that the process parameters are supposed to be known or accurately estimated from Phase I samples. But, in practice, this is not a realistic assumption and the process parameters are usually estimated from a very limited number of samples that, in addition, may contain some outliers. Recently, a median chart with estimated parameters has been proposed to overcome these issues and it has been investigated in terms of the unconditional Average Run Length (ARL). As this median chart with estimated parameters does not take the “Phase I between-practitioners” variability into account, in this paper, we suggest to revisit it using the Standard Deviation of the ARL as a measure of performance. The results show that this Standard Deviation of the ARL–based median chart actually requires a much larger amount of Phase I data than previously recommended to sufficiently reduce the variation in the chart performance. Due to the practical limitation of the number of the Phase I data, the bootstrap method is recommended as a good alternative approach to define new dedicated control chart parameters.
Published: 2017

80. Variable Sample Size EWMA Chart With Measurement Errors

Author: Philippe Castagliola, Zeynab Hassani, and Amirhossein Amiri
Subjects: Observational error, Markov chain, General Engineering, 020101 civil engineering, 02 engineering and technology, 0201 civil engineering, Variable (computer science), Chart, Sample size determination, Statistics, Covariate, Control chart, EWMA chart, Mathematics
Abstract: The effect of measurement errors on adaptive Shewhart charts have been investigated by several researchers. However, the effect of measurement errors on the performance of variable sample size EWMA control charts has not so far been investigated. In this paper, the performance of the VSS EWMA chart in the presence of measurement errors is investigated using a linear covariate error model and a Markov chain method. It is shown that the performance of the VSS EWMA chart is significantly affected by the presence of measurement errors. The effect of taking multiple measurements for each item in a subgroup on the performance of the VSS EWMA chart is also investigated. Moreover, the performance of the VSS EWMA control chart is compared with several other control charts in the presence of measurement errors. At last, an illustrative example is presented to show the application of the VSS EWMA control chart with measurement errors.
Published: 2019

81. Variable sampling interval exponentially weighted moving average median chart with estimated process parameters

Author: Sajal Saha, Philippe Castagliola, Michael B. C. Khoo, How Chinh Lee, School of Mathematical Sciences, Universiti Sains Malaysia (USM), Universiti Tunku Abdul Rahman (UTAR), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Université de Nantes - Faculté des Sciences et des Techniques, and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques
Subjects: 021103 operations research, 0211 other engineering and technologies, Exponentially weighted moving average, Process (computing), 02 engineering and technology, Management Science and Operations Research, Variable sampling, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, Chart, Statistics, Interval (graph theory), 0101 mathematics, Safety, Risk, Reliability and Quality, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: International audience
Published: 2019

82. The Variable Sampling Interval EWMA X¯ Chart with Estimated Process Parameters

Author: L. V. Ong, Zhi Lin Chong, Philippe Castagliola, Wei Lin Teoh, Michael B. C. Khoo, Heriot-Watt University (Malaysia), Universiti Tunku Abdul Rahman (UTAR), Universiti Sains Malaysia (USM), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), and Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Markov chain, Estimation theory, Mechanical Engineering, 02 engineering and technology, Interval (mathematics), Standard deviation, [STAT]Statistics [stat], 020303 mechanical engineering & transports, 0203 mechanical engineering, Chart, Mechanics of Materials, General Materials Science, Control chart, EWMA chart, Algorithm, \bar x and R chart, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: The exponentially weighted moving average (EWMA) X, ¯, , , , , chart with the variable-sampling-interval (VSI) feature is usually scrutinized under the assumption of known process parameters. However, in practice, process parameters are usually unknown, and they need to be estimated from the in-control Phase-I data set. With this in mind, this article proposes the VSI EWMA X, ¯, , , , chart in which the process parameters are estimated. A Markov Chain approach is adopted to derive the run-length properties of the VSI EWMA X, ¯, , , , chart with estimated process parameters. The standard deviation of the average time to signal (SDATS) is employed to measure the practitioner-to-practitioner variation in the control chart’s performance. This variation occurs because different Phase-I datasets are used among practitioners to estimate the process parameters. Based on the SDATS criterion, this article provides recommendations regarding the minimum number of required Phase-I samples. For an optimum implementation, this article develops two optimization algorithms for the VSI EWMA X, ¯, , , , chart with estimated process parameters, i.e., by minimizing the (i) out-of-control expected value of the average time to signal (AATS) and (ii) out-of-control expected value of the AATS (EAATS) for the cases of deterministic and unknown shift sizes, respectively. With the implementation of these new design procedures, the VSI EWMA X, ¯, , , , chart with estimated process parameters is not only able to achieve a desirable in-control performance, but it is also able to quickly detect changes in the process.
Published: 2019

83. An EWMA control chart for the multivariate coefficient of variation

Author: Vicent Giner‐Bosch, Kim Phuc Tran, Philippe Castagliola, Michael Boon Chong Khoo, Universitat Politècnica de València (UPV), Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Universiti Sains Malaysia (USM), Universitat Politecnica de Valencia (UPV), Université de Nantes - Faculté des Sciences et des Techniques, and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques
Subjects: 0209 industrial biotechnology, Trimmed mean, ESTADISTICA E INVESTIGACION OPERATIVA, Nelder-Mead method, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Doubly noncentral F distribution, [STAT]Statistics [stat], 010104 statistics & probability, 020901 industrial engineering & automation, Multivariate coefficient of variation, Average run length, 0101 mathematics, Safety, Risk, Reliability and Quality, EWMA, ComputingMilieux_MISCELLANEOUS
Abstract: [EN] Monitoring the multivariate coefficient of variation over time is a natural choice when the focus is on stabilising the relative variability of a multivariate process, as is the case in a significant number of real situations in engineering, health sciences, and finance, to name but a few areas. However, not many tools are available to practitioners with this aim. This paper introduces a new control chart to monitor the multivariate coefficient of variation through an exponentially weighted moving average (EWMA) scheme. Concrete methodologies to calculate the limits and evaluate the performance of the chart proposed and determine the optimal values of the chart's parameters are derived based on a theoretical study of the statistic being monitored. Computational experiments reveal that our proposal clearly outperforms existing alternatives, in terms of the average run length to detect an out-of-control state. A numerical example is included to show the efficiency of our chart when operating in practice., Generalitat Valenciana, Grant/Award Number: BEST/2017/033 and GV/2016/004; Ministerio de Economia y Competitividad, Grant/Award Number: MTM2013-45381-P
Published: 2019

84. Performance of the hotelling T 2 control chart for compositional data in the presence of measurement errors

Author: Philippe Castagliola, Kim Phuc Tran, F. S. Zaidi, Michael B. C. Khoo, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), and Universiti Sains Malaysia (USM)
Subjects: Statistics and Probability, 021103 operations research, Observational error, Computer science, 0211 other engineering and technologies, 02 engineering and technology, computer.software_genre, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, Hotelling's T-squared distribution, Statistical process monitoring, Control chart, Data mining, 0101 mathematics, Statistics, Probability and Uncertainty, Compositional data, computer, ComputingMilieux_MISCELLANEOUS
Abstract: In statistical process monitoring, the presence of measurement errors is known to impact the performance of control charts. This paper makes an attempt to investigate the performance of the Hotelli...
Published: 2019

85. One-Sided Synthetic control charts for monitoring the Multivariate Coefficient of Variation

Author: Kim Phuc Tran, Salim Lardjane, Philippe Castagliola, Quoc Thong Nguyen, Giovanni Celano, Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), University of Catania [Italy], Université de Brest (UBO)-Université de Bretagne Sud (UBS)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes - Faculté des Sciences et des Techniques, and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques
Subjects: Statistics and Probability, Multivariate statistics, Markov chain, multivariate coefficient of variation, steady-state, Synthetic chart, Coefficient of variation, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, 010104 statistics & probability, Chart, Multivariate Coefficient of Variation, Statistics, Control chart, 0101 mathematics, Mathematics, [STAT.AP]Statistics [stat]/Applications [stat.AP], 021103 operations research, Average run length, Applied Mathematics, Process (computing), Steady-state, [STAT]Statistics [stat], One sided, Modeling and Simulation, Statistics, Probability and Uncertainty
Abstract: International audience; Shewhart's type control charts for monitoring the Multivariate Coefficient of Variation (MCV) have recently been proposed in order to monitor the relative variability compared with the mean. These approaches are known to be rather slow in the detection of small or moderate process shifts. In this paper, in order to improve the detection efficiency, two one-sided Synthetic charts for the MCV are proposed. A Markov chain method is used to evaluate the statistical performance of the proposed charts. Furthermore, computational experiments reveal that the proposed control charts outperform the Shewhart MCV control chart in terms of the average run length to detect an out-of-control state. Finally, the implementation of the proposed chart is illustrated with an example using steel sleeves data.
Published: 2019

86. A new nonparametric adaptive EWMA control chart with exact run length properties

Author: Philippe Castagliola, Anan Tang, Jinsheng Sun, Xuelong Hu, Nanjing University of Science and Technology (NJUST), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Nanjing University of Science and Technology [Nanjing], Université de Nantes - Faculté des Sciences et des Techniques, and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques
Subjects: 021103 operations research, General Computer Science, Markov chain, Computer science, Parametric Probability Distribution, 0211 other engineering and technologies, General Engineering, Exponentially weighted moving average, Nonparametric statistics, 02 engineering and technology, [STAT]Statistics [stat], Chart, 0202 electrical engineering, electronic engineering, information engineering, Range (statistics), 020201 artificial intelligence & image processing, Control chart, EWMA chart, Algorithm, Statistic, ComputingMilieux_MISCELLANEOUS, Count data
Abstract: The AEWMA (Adaptive Exponentially Weighted Moving Average) chart is a scheme that combines the Shewhart and the classical EWMA charts in a smooth way. In this paper, a new nonparametric AEWMA-type chart for count data, based on the sign statistic (denoted as the CAEWMA SN chart), is proposed without requiring any parametric probability distribution for the underlying process. The most valuable characteristics of this work are: (i) it combines the advantages of a nonparametric control chart with the best overall shift detection properties of an AEWMA-type chart, (ii) only positive integer-valued weights are used for the monitoring of count data, and the plotted statistic is also an integer and (iii) an appropriate discrete-time Markov chain technique is provided to compute the exact run length properties of the proposed chart without any expensive simulation or unreliable approximation. Detailed guidelines and recommendations for selecting the chart’s parameters are provided with two illustrative examples. An extensive comparative study demonstrates the superiority of the CAEWMA SN chart over a number of existing control charts, including a discrete EWMA-type sign chart, two classical continuous EWMA-type charts and a GWMA-type sign chart, for detecting a wide range of location shifts.
Published: 2019

87. An EWMA-type sign chart with exact run length properties

Author: Giovanni Celano, Athanasios C. Rakitzis, Petros Maravelakis, Kim Phuc Tran, Philippe Castagliola, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), Università degli studi di Catania [Catania], University of Piraeus, and University of the Aegean
Subjects: Strategy and Management, 0211 other engineering and technologies, Phase (waves), 02 engineering and technology, Management Science and Operations Research, Type (model theory), 01 natural sciences, Industrial and Manufacturing Engineering, Phase II control chart, 010104 statistics & probability, distribution-free control chart, Chart, EWMA chart, 0101 mathematics, Safety, Risk, Reliability and Quality, Statistic, ComputingMilieux_MISCELLANEOUS, Mathematics, 021103 operations research, bottling process, count data, [STAT]Statistics [stat], Distribution (mathematics), Algorithm, Count data, Sign (mathematics)
Abstract: In this paper, a new phase II EWMA-type chart for count data, based on the sign statistic, is proposed and applied to the monitoring of the location of an unknown continuous distribution. The most ...
Published: 2019

88. The adaptive EWMA median chart for known and estimated parameters

Author: Philippe Castagliola, Anan Tang, Jinsheng Sun, Xuelong Hu, Nanjing University of Science and Technology [Nanjing], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Nanjing University of Science and Technology (NJUST), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Subjects: Statistics and Probability, 021103 operations research, Applied Mathematics, 0211 other engineering and technologies, Exponentially weighted moving average, 02 engineering and technology, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, Chart, Modeling and Simulation, Statistics, EWMA chart, 0101 mathematics, Statistics, Probability and Uncertainty, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: The Adaptive Exponentially Weighted Moving Average (AEWMA) chart is known to combine the Shewhart and the classical EWMA schemes in a smooth way. Its performance has been investigated under the ass...
Published: 2019

89. Process capability index for Poisson regression profile based on the S pmk index

Author: Vasileios Alevizakos, Christos Koukouvinos, Philippe Castagliola, National Technical University of Athens [Athens] (NTUA), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Université de Nantes - Faculté des Sciences et des Techniques, and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques
Subjects: 021103 operations research, Index (economics), media_common.quotation_subject, 0211 other engineering and technologies, Process (computing), 02 engineering and technology, 01 natural sciences, Industrial and Manufacturing Engineering, [STAT]Statistics [stat], 010104 statistics & probability, Variable (computer science), symbols.namesake, Product (mathematics), Statistics, symbols, Process capability index, Process control, Quality (business), Poisson regression, 0101 mathematics, Safety, Risk, Reliability and Quality, ComputingMilieux_MISCELLANEOUS, Mathematics, media_common
Abstract: In many process control applications, the quality of a process or a product can be characterized by a functional relationship between a response variable and one or more explanatory variables which...
Published: 2019

90. Design of a Variable Sampling Interval EWMA Median Control Chart

Author: Kim Phuc Tran, Philippe Castagliola, Anne Cuzol, Thi Hien Nguyen, Ecole nationale supérieure des arts et industries textiles de Roubaix (ENSAIT), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Dong-A University, Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Brest (UBO)-Université de Bretagne Sud (UBS)-Centre National de la Recherche Scientifique (CNRS), and Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 2. Zero hunger, 021103 operations research, General Computer Science, Order statistic, 0211 other engineering and technologies, Energy Engineering and Power Technology, Aerospace Engineering, 02 engineering and technology, Interval (mathematics), Variable sampling, 01 natural sciences, Industrial and Manufacturing Engineering, Normal distribution, [STAT]Statistics [stat], 010104 statistics & probability, Nuclear Energy and Engineering, Statistics, Control chart, EWMA chart, 0101 mathematics, Electrical and Electronic Engineering, Safety, Risk, Reliability and Quality, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: In the literature, median type control charts have been widely investigated as easy and efficient means to monitor the process mean when observations are from a normal distribution. In this work, a Variable Sampling Interval (VSI) Exponentially Weighted Moving Average (EWMA) median control chart is proposed and studied. The Markov chains are used to calculate the average run length to signal (ARL). A performance comparison with the original EWMA median control chart is made. The numerical results show that the proposed chart is considerably more effective as it is faster in detecting process shifts. Finally, the implementation of the proposed chart is illustrated with an example in food production process.
Published: 2019

91. Conditional design of the CUSUM median chart for the process position when process parameters are unknown

Author: Xuelong Hu, Anan Tang, Philippe Castagliola, Nanjing University of Posts and Telecommunications [Nanjing], Nanjing university of posts and telecommunications, Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Nanjing University of Science and Technology [Nanjing], Nanjing University of Posts and Telecommunications [Nanjing] (NJUPT), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Nanjing University of Science and Technology (NJUST), and Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Subjects: Statistics and Probability, 021103 operations research, Applied Mathematics, 0211 other engineering and technologies, Process (computing), CUSUM, 02 engineering and technology, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, Chart, Position (vector), Modeling and Simulation, Statistics, Control chart, 0101 mathematics, Statistics, Probability and Uncertainty, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: In practice, different practitioners will use different Phase I samples to estimate the process parameters, which will lead to different Phase II control chart's performance. Researches ref...
Published: 2019

92. Optimal performance of the variable sample sizes Hotelling’s T 2 control chart in the presence of measurement errors

Author: Philippe Castagliola, Hamed Sabahno, Amirhossein Amiri, Shahed University [Téhéran], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: 0209 industrial biotechnology, Information Systems and Management, Observational error, Adaptive control, Markov chain, Univariate, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, Variable (computer science), 020901 industrial engineering & automation, Sample size determination, Management of Technology and Innovation, Industrial relations, Statistics, Control chart, 0101 mathematics, Business and International Management, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: The effect of measurement errors on the performance of adaptive control charts has rarely been investigated in the univariate case and, as far as we know, it has not been investigated at all in the...
Published: 2019

93. The effect of parameter estimation on phase II monitoring of poisson regression profiles

Author: Michael B. C. Khoo, Amirhossein Amiri, Philippe Castagliola, Mohammadreza Maleki, Shahed University [Téhéran], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - Faculté des Sciences et des Techniques, Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - Faculté des Sciences et des Techniques, Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Universiti Sains Malaysia (USM), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Subjects: Statistics and Probability, Estimation, 021103 operations research, Average run length, Estimation theory, 0211 other engineering and technologies, Phase (waves), 02 engineering and technology, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, symbols.namesake, Modeling and Simulation, Statistics, symbols, Poisson regression, Monitoring methods, 0101 mathematics, ComputingMilieux_MISCELLANEOUS, Mathematics, Variable (mathematics)
Abstract: The effect of parameters estimation on profile monitoring methods has only been studied by a few researchers and only the assumption of a normal response variable has been tackled. However,...
Published: 2019

94. Performance of the Variable Parameters X Control Chart in Presence of Measurement Errors

Author: Philippe Castagliola, Amirhossein Amiri, Hamed Sabahno, Shahed University [Téhéran], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: Optimal design, Observational error, Mechanical Engineering, Value (computer science), 02 engineering and technology, Signal, [STAT]Statistics [stat], 020303 mechanical engineering & transports, 0203 mechanical engineering, Chart, Mechanics of Materials, Covariate, General Materials Science, Control chart, Algorithm, ComputingMilieux_MISCELLANEOUS, Mathematics, Variable (mathematics)
Abstract: In this article, we investigate the effect of measurement errors on the performance of the VP (Variable Parameters) X, ¯, , , , , control chart. After introducing the VP scheme for the X, ¯, , , , , chart with measurement errors, we evaluate the chart performance by using the average time to signal criterion, and we investigate the effect of measurement errors on the chart’s performance through extensive numerical studies. In addition, we investigate the effect of multiple measurements and the value of the linearly covariate error model’s parameters on the performance of VP X, ¯, , , , , control chart. We also consider the overall performance of the VP X, ¯, , , , , control chart and the optimal design parameters. Finally, the application of the proposed scheme is shown through an illustrative example.
Published: 2019

95. An overview on recent profile monitoring papers (2008–2018) based on conceptual classification scheme

Author: Amirhossein Amiri, Philippe Castagliola, Mohammadreza Maleki, Shahed University [Téhéran], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: Scheme (programming language), 0209 industrial biotechnology, Information retrieval, General Computer Science, Process (engineering), Computer science, media_common.quotation_subject, General Engineering, Stability (learning theory), Classification scheme, 02 engineering and technology, 01 natural sciences, Field (computer science), [STAT]Statistics [stat], 010104 statistics & probability, 020901 industrial engineering & automation, Quality (business), 0101 mathematics, computer, ComputingMilieux_MISCELLANEOUS, computer.programming_language, media_common
Abstract: Sometimes the quality of a process is best expressed by a relationship between response variables and explanatory variables. Checking over the time the stability of such functional relationships using statistical methods is called “profile monitoring”. Since 2007, when a detailed review paper in the field of profile monitoring was presented, an increasing number of papers have been published in this area. In this paper, we present a conceptual classification scheme and classify the papers in this area since 2008 up to 2018. The relevant papers are categorized and analyzed under different metrics and directions for future studies are recommended.
Published: 2018

96. An EWMA sign control chart with varying control limits for finite horizon processes

Author: Philippe Castagliola, Giovanni Celano, University of Catania [Italy], Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), and Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Subjects: Distribution free, 0209 industrial biotechnology, Computer science, Quality control, SPC, Process location, Distribution-free, MArkov modelling, 02 engineering and technology, Finite horizon, Management Science and Operations Research, Statistical process control, 01 natural sciences, [STAT]Statistics [stat], 010104 statistics & probability, 020901 industrial engineering & automation, Control limits, Control theory, Control chart, EWMA chart, 0101 mathematics, Safety, Risk, Reliability and Quality, ComputingMilieux_MISCELLANEOUS, Sign (mathematics)
Abstract: International audience
Published: 2018

97. CONTROL CHARTS FOR DATA HAVING A SYMMETRICAL DISTRIBUTION WITH A POSITIVE KURTOSIS

Author: PHILIPPE, CASTAGLIOLA, primary
Published: 2001
Full Text: View/download PDF

98. On the Performance of Shewhart median Chart in the Presence of Measurement Errors

Author: Narayanaswamy Balakrishnan, Kim Phuc Tran, and Philippe Castagliola
Subjects: Engineering, 021103 operations research, Observational error, business.industry, X-bar chart, 0211 other engineering and technologies, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Multi-vari chart, 010104 statistics & probability, Chart, Statistics, Covariate, Econometrics, Control chart, 0101 mathematics, Safety, Risk, Reliability and Quality, Shewhart individuals control chart, business
Abstract: In the literature, median control charts have been introduced under the assumption of no measurement error. However, measurement errors always exist in practice and may considerably affect the ability of control charts to detect out-of-control situations. In this paper, we investigate the performance of Shewhart median chart by using a linear covariate error model. Several figures and tables are presented and commented to show the statistical performance of Shewhart median control chart in the presence of measurement errors. We also investigate the positive effect of taking multiple measurements for each item in a subgroup on the performance of Shewhart median chart. An example illustrates the use of Shewhart median chart in the presence of measurement errors. Copyright © 2016 John Wiley & Sons, Ltd.
Published: 2016

99. The performance of the Shewhart-RZ control chart in the presence of measurement error

Author: Philippe Castagliola, Kim Phuc Tran, Giovanni Celano, Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (Polytech Nantes), Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS), and Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN)
Subjects: Computer science, Control chart, Strategy and Management, X-bar chart, 0211 other engineering and technologies, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Industrial and Manufacturing Engineering, SPC, Multivariate statistics, 010104 statistics & probability, Chart, Statistics, EWMA chart, 0101 mathematics, Shewhart individuals control chart, ComputingMilieux_MISCELLANEOUS, 2. Zero hunger, 021103 operations research, u-chart, Observational error, [STAT]Statistics [stat], Control limits
Abstract: Recent literature about quality control has investigated the continuous surveillance of the ratio of two normal random variables under the assumption of no measurement error. However, in practice, measurement errors always exist in quality control applications and may considerably affect the performance of control charts. In this paper, the performance of the Shewhart-RZ control chart is investigated in the presence of a measurement error and modelled by a linear covariate error model. Several figures and tables are generated and commented to show the statistical performance of the Shewhart-RZ control chart for different sources of the measurement error. Two examples illustrate the use of this chart on a quality control problem simulated from the food industry and a real industrial case from a plant treating batteries for recyclement.
Published: 2016

100. The Exact Run Length Distribution and Design of the Shewhart Chart with Estimated Parameters Based on Median Run Length

Author: Wei Lin Teoh, Philippe Castagliola, Ming Ha Lee, and Michael B. C. Khoo
Subjects: Statistics and Probability, 021103 operations research, Small number, X-bar chart, 0211 other engineering and technologies, 02 engineering and technology, Statistical process control, 01 natural sciences, Measure (mathematics), 010104 statistics & probability, Modeling and Simulation, Statistics, Control chart, Sensitivity (control systems), 0101 mathematics, Representation (mathematics), \bar x and R chart, Mathematics
Abstract: This paper investigates the Shewhart chart with estimated parameters. When parameters are unknown, we show that the average run length is a confusing performance measure and that the median run length, which is a better representation of the central tendency associated with different shapes of the run length distribution, is more intuitive. A new design model for the Shewhart chart with estimated parameters is developed. With this proposed design model, the Shewhart chart for both known and estimated parameters, even with a small number of Phase-I samples, will have an almost similar sensitivity for a specified shift.
Published: 2016

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