30 results on '"implementation error"'
Search Results
2. Discrete-delay Implementation of Distributed Delay in Control Laws
- Author
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Zhong, Qing-Chang
- Published
- 2006
- Full Text
- View/download PDF
3. Certified version of Buchberger's algorithm
- Author
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Théry, Laurent, Carbonell, Jaime G., editor, Siekmann, Jörg, editor, Goos, G., editor, Hartmanis, J., editor, van Leeuwen, J., editor, Kirchner, Claude, editor, and Kirchner, Hélène, editor
- Published
- 1998
- Full Text
- View/download PDF
4. Efficient infill sampling for unconstrained robust optimization problems.
- Author
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Ur Rehman, Samee and Langelaar, Matthijs
- Subjects
- *
ROBUST control , *MATHEMATICAL optimization , *RESPONSE surfaces (Statistics) , *ALGORITHMS , *MATHEMATICAL functions - Abstract
A novel infill sampling criterion is proposed for efficient estimation of the global robust optimum of expensive computer simulation based problems. The algorithm is especially geared towards addressing problems that are affected by uncertainties in design variablesandproblem parameters. The method is based on constructing metamodels using Kriging and adaptively sampling the response surface via a principle of expected improvement adapted for robust optimization. Several numerical examples and an engineering case study are used to demonstrate the ability of the algorithm to estimate the global robust optimum using a limited number of expensive function evaluations. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
5. Budgeting and implementing fiscal policy in Italy.
- Author
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Cepparulo, Alessandra, Gastaldi, Francesca, Giuriato, Luisa, and Sacchi, Agnese
- Subjects
BUDGET ,FISCAL policy ,ECONOMIC forecasting ,GROSS domestic product ,ECONOMIC conditions in Italy, 1994- - Abstract
Forecast errors in budgetary variables are frequent. When systematic, they are a source of concern, as they signal misconduct in fiscal policymaking, undermine the government’s credibility and compromise long-term fiscal sustainability. This paper analyses the characteristics of fiscal forecasting and implementation errors in Italy using real-time data over the period 1998–2009. Several empirical methods are applied in order to identify the features of policymakers’ behaviour in preparing and implementing annual fiscal policy and to discover potential determinants in the formation of the implementation errors. Our results show that implemented budgetary plans systematically fall short one year ahead of ambitious planned adjustments for the main public finance aggregates. Fiscal illusion dominates revenue and GDP forecasting, and preliminary data releases are severely biased estimators of the final data, especially for expenditures. The role of the parliamentary session in driving a severe expenditure drift is confirmed. [ABSTRACT FROM PUBLISHER]
- Published
- 2014
- Full Text
- View/download PDF
6. The past, present and future use of drifting fish aggregating devices (FADs) in the Indian Ocean.
- Author
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Davies, Tim K., Mees, Chris C., and Milner-Gulland, E.J.
- Subjects
FISH aggregation devices ,TUNA fisheries ,FISH ecology ,SUSTAINABLE development ,ENVIRONMENTAL policy ,MANAGEMENT - Abstract
Abstract: The use of drifting fish aggregating devices (FADs) has become the dominant practice in tropical tuna purse seine fishing. However, just as FADs can increase fishing efficiency, their use has been associated with several negative ecosystem impacts, and moves are being made to manage the use of FADs. In the evaluation of potential management options it is important to consider how fishers will respond to the introduction of control measures, which first requires an understanding of fishery and fleet dynamics. This paper addresses this need by characterising the past and present use of FADs in the Indian Ocean tropical tuna purse seine fishery. The paper describes historical trends in fishing practices, summarises spatiotemporal patterns in the use of FADs and establishes and attributes variation in FAD fishing strategies within the fleet. It also provides an overview of current FAD management policies in the Indian Ocean and examines the observed effects of existing measures on the behaviour of the purse seine fleet. Using this comprehensive understanding, the potential impact on the purse seine fleet of a number of plausible FAD management options are discussed and inferences are drawn for the future sustainability of tropical tuna purse seine fishing in the Indian Ocean. [Copyright &y& Elsevier]
- Published
- 2014
- Full Text
- View/download PDF
7. Hidden conic quadratic representation of some nonconvex quadratic optimization problems.
- Author
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Ben-Tal, Aharon and Hertog, Dick
- Subjects
- *
REPRESENTATIONS of algebras , *MATHEMATICAL optimization , *QUADRATIC fields , *MATHEMATICAL functions , *MATHEMATICAL programming , *CONVEX domains - Abstract
The problem of minimizing a quadratic objective function subject to one or two quadratic constraints is known to have a hidden convexity property, even when the quadratic forms are indefinite. The equivalent convex problem is a semidefinite one, and the equivalence is based on the celebrated S-lemma. In this paper, we show that when the quadratic forms are simultaneously diagonalizable (SD), it is possible to derive an equivalent convex problem, which is a conic quadratic (CQ) one, and as such is significantly more tractable than a semidefinite problem. The SD condition holds for free for many problems arising in applications, in particular, when deriving robust counterparts of quadratic, or conic quadratic, constraints affected by implementation error. The proof of the hidden CQ property is constructive and does not rely on the S-lemma. This fact may be significant in discovering hidden convexity in some nonquadratic problems. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
8. A Bayesian framework with implementation error to improve the management of the red octopus (Octopus maya) fishery off the Yucatán Peninsula
- Author
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J Jurado-Molina
- Subjects
constant harvest rate ,posterior distribution ,Markov Chain Monte Carlo simulations ,implementation error ,depletion ,Biology (General) ,QH301-705.5 - Abstract
The red octopus (Octopus maya) is an endemic species of the Yucatán Peninsula and its fishery is one of the most important along the Atlantic coast of Mexico. Commercial exploitation started in 1949. Since 2002 an index of abundance has been estimated, and this index was used to perform a stock assessment and decision analysis using the Schaefer model. A Bayesian approach was applied to estimate the model parameters and to project the species population under two management scenarios with a constant harvest rate and a positive implementation error. Results suggest that in 1995 the biomass corresponded to 23% of the population carrying capacity (K) and that the current stock is only 14% of K. The population may be depleted and a rebuilding plan might be necessary. In the decision analysis, when the implementation error was included, the Markov Chain Monte Carlo simulations suggested that the current level of exploitation (50% harvest rate) could produce a decreasing trend with the most probable biomass of 9679 t and an expected catch of 7920 t in 2018, and an expected probability of 0.82 of the population being less than 40% of K. On the contrary, a 30% harvest rate would raise the expected catch in 2018 (12,058 t), also reducing the probability of the population being smaller than 40% of K. The inclusion of the implementation error provides a more realistic scenario and represents a more conservative option; therefore, using this type of auxiliary data within a Bayesian framework is recommended for the decision making process. If adopted by Mexican fisheries managers, the approach used in this study could help improve the management of this resource and keep exploitation at sustainable levels.
- Published
- 2010
- Full Text
- View/download PDF
9. Superior robustness of power-sum activation functions in Zhang neural networks for time-varying quadratic programs perturbed with large implementation errors.
- Author
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Yang, Yiwen and Zhang, Yunong
- Subjects
- *
ROBUST control , *ARTIFICIAL neural networks , *TIME-varying systems , *QUADRATIC programming , *PROBLEM solving , *ONLINE data processing , *MATHEMATICAL functions , *ERROR analysis in mathematics - Abstract
A special class of recurrent neural network termed Zhang neural network (ZNN) depicted in the implicit dynamics has recently been introduced for online solution of time-varying convex quadratic programming (QP) problems. Global exponential convergence of such a ZNN model is achieved theoretically in an error-free situation. This paper investigates the performance analysis of the perturbed ZNN model using a special type of activation functions (namely, power-sum activation functions) when solving the time-varying QP problems. Robustness analysis and simulation results demonstrate the superior characteristics of using power-sum activation functions in the context of large ZNN-implementation errors, compared with the case of using linear activation functions. Furthermore, the application to inverse kinematic control of a redundant robot arm also verifies the feasibility and effectiveness of the ZNN model for time-varying QP problems solving. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
10. Dynamic prediction of effort reallocation in mixed fisheries
- Author
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Tidd, Alex N., Hutton, Trevor, Kell, Laurence T., and Blanchard, Julia L.
- Subjects
- *
FISHING , *DISCRETE choice models , *SPATIO-temporal variation , *TRAWLING , *PREDICTION models , *CLIMATE change - Abstract
Abstract: A discrete choice model is applied to determine how fishing effort is allocated spatially and temporally by the English and Welsh North Sea beam trawl fleet. Individual vessels can fish in five distinct areas, and the utility of fishing in an area depends on expected revenue measured as previous success (value per unit effort) and experience (past fishing effort allocation), as well as perceived costs (measured as distance to landing port weighted by fuel price). The model predicts fisher location choice, and the predictions are evaluated using iterative partial cross validation by fitting the model over a series of separate time-periods (nine separate time-periods). Results show the relative importance of the different drivers that change over time. They indicate that there are three main drivers throughout the study, past annual effort, past monthly effort in the year of fishing, and fuel price, largely reflecting the fact that previous practices where success was gained are learned (i.e. experience) and become habitual, and that seasonal variations also dominate behaviour in terms of the strong monthly trends and variable costs. In order to provide an indication of the model''s predictive capabilities, a simulated closure of one of the study areas was undertaken (an area that mapped reasonably well with the North Sea cod 2001 partial closure of the North Sea for 10 weeks of that year). The predicted reallocation of effort was compared against realized/observed reallocation of effort, and there was good correlation at the trip level, with a maximum 10% misallocation of predicted effort for that year. [Copyright &y& Elsevier]
- Published
- 2012
- Full Text
- View/download PDF
11. What are we protecting? Fisher behavior and the unintended consequences of spatial closures as a fishery management tool.
- Author
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Abbott, Joshua K. and Haynie, Alan C.
- Subjects
FISHERY management ,ADAPTIVE natural resource management ,FISH population thinning ,MARINE parks & reserves ,FISH habitat improvement ,ADAPTIVE harvest management - Abstract
The article discusses on spatial closures, like marine protected areas(MPAs), which are prominent tools for ecosystem-based management in fisheries. It states that the adaptive behavior of fishermen, upset the balance of fishing impacts across species. The weakest stock often dominates management attention. It mentions that there is a need to anticipate the behavioral adaptations of fishermen across multiple species in reserve design or to design management systems for adaptations.
- Published
- 2012
- Full Text
- View/download PDF
12. A Bayesian framework with implementation error to improve the management of the red octopus (Octopus maya) fishery off the Yucatán Peninsula.
- Author
-
Jurado-Molina, J.
- Subjects
- *
OCTOPUSES , *OCTOPUS (Genus) , *OCTOPODA , *CEPHALOPODA , *OCTOPUS fisheries , *FISHERY resource measurement - Abstract
The red octopus (Octopus maya) is an endemic species of the Yucatán Peninsula and its fishery is one of the most important along the Atlantic coast of Mexico. Commercial exploitation started in 1949. Since 2002 an index of abundance has been estimated, and this index was used to perform a stock assessment and decision analysis using the Schaefer model. A Bayesian approach was applied to estimate the model parameters and to project the species population under two management scenarios with a constant harvest rate and a positive implementation error. Results suggest that in 1995 the biomass corresponded to 23% of the population carrying capacity (K) and that the current stock is only 14% of K. The population may be depleted and a rebuilding plan might be necessary. In the decision analysis, when the implementation error was included, the Markov Chain Monte Carlo simulations suggested that the current level of exploitation (50% harvest rate) could produce a decreasing trend with the most probable biomass of 9679 t and an expected catch of 7920 t in 2018, and an expected probability of 0.82 of the population being less than 40% of K. On the contrary, a 30% harvest rate would raise the expected catch in 2018 (12,058 t), also reducing the probability of the population being smaller than 40% of K. The inclusion of the implementation error provides a more realistic scenario and represents a more conservative option; therefore, using this type of auxiliary data within a Bayesian framework is recommended for the decision making process. If adopted by Mexican fisheries managers, the approach used in this study could help improve the management of this resource and keep exploitation at sustainable levels. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
13. Penalties and rewards for over- and underages of catch allocations.
- Author
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Powers, Joseph E. and Brooks, Elizabeth N.
- Subjects
- *
FISHING catch effort , *TOTAL allowable catch , *AQUATIC resources , *FISHERY management , *FISHING equipment , *FISH stocking - Abstract
Powers, J. E., and Brooks, E. N. 2008. Penalties and rewards for over- and underages of catch allocations. – ICES Journal of Marine Science, 65: 1541–1551.Many fisheries are managed using a total allowable catch (TAC) that is subsequently sub-allocated to different fisheries sectors. These allocations are then monitored separately to ensure the adherence of each fishery to its particular allocation quota and to the overall TAC. In some management arenas, there are systems of “payback” where over- and underages are punished or rewarded using particular decision rules. Differences between fishing gear, the sizes and ages of fish being targeted by those gears, and the spatio-temporal distribution of the fishers using those gears can lead to different precision, accuracy, and cost of monitoring the allocation, affecting the probability that an overall management objective is reached. Weaknesses in monitoring may be exploited by user groups in their competition for larger catches and, subsequently, bigger allocations, so differential monitoring precision and accuracy can lead to both short- and long-term reallocations, i.e. a new set of winners and losers. Simulations in a management strategy evaluation framework were used to demonstrate the implications of alternative decision rules regarding payback on conservation and sustainability objectives and rebuilding time frames. The efficacy of the rules under alternative monitoring systems was also examined. Decision rules allowing payback prolong rebuilding (compared with perfect implementation or more precautionary TACs), especially if monitoring is biased (catches misreported) or imprecise. When precision of reported catches was increased and/or bias decreased, better yields and stock abundance resulted. When overages were penalized and underages not rewarded, recovery was achieved earlier. Conversely, policies in which transgressions were ignored and underages rewarded did not perform well. Underreporting by one nation may result in stocks that are well below the stock size conservation standards, yet produce substantial gains in yield for that nation, unless other nations retaliate by underreporting. [ABSTRACT FROM PUBLISHER]
- Published
- 2008
- Full Text
- View/download PDF
14. A scenario-based desirability function for correlated multi-response optimization problems considering modeling and implementation errors.
- Author
-
Hejazi, Taha-Hossein
- Subjects
DISTRIBUTION (Probability theory) ,STOCHASTIC programming ,INDUSTRIALISM ,STOCHASTIC models - Abstract
Simultaneous improvement of multiple quality characteristics is one of the main concerns in today's complex industrial systems. Multiresponse optimization enables us to address this concern and find a compromise solution of design factors that leads to desirable quality outputs. This problem becomes complicated when some degree of uncertainty affects the result of the experiments. In this paper, two sources of uncertainty are included in multi-response optimization problems. The first is experimental errors related to unknown variables, also called environmental nuisances, creating response surface modeling errors. The second source is errors in implementation. In the experimentation, the controllable factors are mainly set at some predefined levels, but after the optimal design has been found, it oscillates around that value during the implementation phase. To handle this problem, a scenario-based two-stage stochastic programming is developed in which desirability functions are aggregated to form the final objective function. Scenarios are generated by sampling from probability distribution functions of the response surfaces' coefficients under normality assumptions. The numerical results show that joint consideration of the error sources leads to a smaller range of desirability values among the different scenarios and a higher value of the total desirability index. • Implementation and modeling errors are included in multi-response optimization. • A scenario-based stochastic programming model is developed. • Correlation among all quality characteristics, including STB, NTB, and LTB, is allowed. • Robust parameter design is proposed considering robustness and randomness. • Shifting the optimal factor setting is modeled by a discrete set of scenarios. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
15. Efficient Kriging-based robust optimization of unconstrained problems.
- Author
-
ur Rehman, Samee, Langelaar, Matthijs, and van Keulen, Fred
- Subjects
KRIGING ,ROBUST optimization ,ALGORITHMS ,MATHEMATICAL optimization ,COMPUTER simulation - Abstract
A novel methodology, based on Kriging and expected improvement, is proposed for applying robust optimization on unconstrained problems affected by implementation error. A modified expected improvement measure which reflects the need for robust instead of nominal optimization is used to provide new sampling point locations. A new sample is added at each iteration by finding the location at which the modified expected improvement measure is maximum. By means of this process, the algorithm iteratively progresses towards the robust optimum. It is demonstrated that the algorithm performs significantly better than current techniques for robust optimization using response surface modeling. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
16. On Distributed Delay in Linear Control Laws--Part II: Rational Implementations Inspired From the δ-Operator.
- Author
-
Qing-Chang Zhong
- Subjects
- *
LINEAR control systems , *MATHEMATICAL functions , *AUTOMATIC control systems , *DIFFERENTIAL equations , *CONTROL theory (Engineering) , *MATHEMATICS - Abstract
This note proposes rational implementations for distributed delay in linear control laws. The main benefit of doing so is the easy implementation of rational transfer functions. The proposed approach was inspired from the δ-operator. The resulting rational implementation has an elegant structure of chained low-pass filters. The stability of each node can be guaranteed by the choice of the number N of the nodes. The stability of the closed-loop system can also be guaranteed since the H∞ norm of the implementation error approaches 0 when N goes to ∞. Moreover, the steady-state performance of the system is retained without the need to change the control structure. [ABSTRACT FROM AUTHOR]
- Published
- 2005
- Full Text
- View/download PDF
17. On Distributed Delay in Linear Control Laws -- Part I: Discrete-Delay Implementations.
- Author
-
Zhong, Qing-Chang
- Subjects
- *
LINEAR control systems , *STABILITY (Mechanics) , *APPROXIMATION theory , *AUTOMATIC control systems , *ERROR analysis in mathematics , *STOCHASTIC approximation - Abstract
This note proposes two approaches to approximate distributed I delay in linear control laws and, furthermore, to implement it in the z -do- main and in the s-domain. The H∞ -norm of the approximation error converges to 0 when the number N of approximation steps approaches + +infin;. Hence, the instability problem due to the approximation error, which has been widely studied in recent years, does not exist provided that N is large enough. Moreover, the static gain is guaranteed so that no extra efforts are needed to retain the steady-state performance. As by-products, two new formulas for the forward and backward rectangular rules are obtained. These formulas are more accurate than the conventional ones when the Integrand has an exponential term. [ABSTRACT FROM AUTHOR]
- Published
- 2004
- Full Text
- View/download PDF
18. An example of how catch uncertainty hinders effective stock management and rebuilding.
- Author
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Van Beveren, Elisabeth, Duplisea, Daniel E., Marentette, Julie R., Smith, Andrew, and Castonguay, Martin
- Subjects
- *
UNCERTAINTY , *BYCATCHES , *MANAGEMENT science , *MACKERELS - Abstract
• Large catch uncertainties narrow management possibilities. • This may hinder stock rebuilding, as required management actions become more severe. • Reducing catch uncertainty can be the best means to improve management effectiveness. • Management Strategy Evaluation can explicitly demonstrate the trade-offs. • The process may help identify and boost projects to tackle catch uncertainty. The northern spawning contingent of Western Atlantic mackerel is currently at low biomass and catches are largely underestimated. Catch statistics for Canada are incomplete, and the amount of northern contingent fish caught in the US mackerel fishery is unclear. Our goal was to assess the impact of missing catch on quota management effectiveness and to provide advice for stock rebuilding in the face of large catch uncertainty. As part of a management strategy evaluation (MSE), we assessed how simple harvest control rules (HCRs) performed under different assumptions of catch uncertainty. Results showed that, at present low biomass levels, reducing missing catch was generally more important than the choice among certain HCRs. Canadian undeclared catch would need to be reduced markedly to achieve even short-term rebuilding objectives. To reach long-term rebuilding objectives, the proportion of northern contingent fish caught in the US fishery would also need to be accounted for. We demonstated how an MSE can help inform all involved parties of the trade-off between missing catch and quota magnitude and effectiveness, and provided directions for future developments in management and science. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
19. Budgeting and implementing fiscal policy in Italy
- Author
-
Alessandra Cepparulo, Agnese Sacchi, Francesca Gastaldi, and Luisa Giuriato
- Subjects
Macroeconomics ,Public Administration ,budgetary process ,Economic policy ,fiscal forecasts ,implementation error ,real-time data ,Management, Monitoring, Policy and Law ,Fiscal illusion ,Fiscal union ,Fiscal policy ,Empirical research ,Credibility ,Economics ,Revenue ,Fiscal sustainability ,Public finance - Abstract
Forecast errors in budgetary variables are frequent. When systematic, they are a source of concern, as they signal misconduct in fiscal policymaking, undermine the government’s credibility and compromise long-term fiscal sustainability. This paper analyses the characteristics of fiscal forecasting and implementation errors in Italy usingreal-timedata over the period 1998–2009. Several empirical methods are applied in order to identify the features of policymakers’ behaviour in preparing and implementing annual fiscal policy and to discover potential determinants in the formation of the implementation errors. Our results show that implemented budgetary plans systematically fall short one year ahead of ambitious planned adjustments for the main public finance aggregates. Fiscal illusion dominates revenue and GDP forecasting, and preliminary data releases are severely biased estimators of the final data, especially for expenditures. The role of the parliamentary session in driving a severe expenditure drift is confirmed.
- Published
- 2014
20. Estimating Management Uncertainty for Marine Fisheries in the South Atlantic United States
- Author
-
Shugart-Schmidt, Katelin Leeann Puanani, Fisheries and Wildlife Sciences, Berkson, James M., Orth, Donald J., McMullin, Steve L., and McGovern, John Clarke
- Subjects
South Atlantic ,management uncertainty ,management error ,fisheries ,implementation error - Abstract
With the latest reauthorization of the Magnuson-Stevens Fishery Conservation and Management Act (MSA) and the precarious state of many of the nation's fisheries, it has become essential to incorporate uncertainty in the process of setting annual catch limits (ACLs) and annual catch targets (ACTs). The accuracy with which we predict landings can be thought of as management uncertainty, and it can be estimated by comparing the predicted landings intended by a regulation to the fisheries\' actual landings estimates. The National Standard 1 Guidelines for the MSA state that management regulations should take into account management uncertainty when establishing ACLs or ACTs, prescribing more precaution when management uncertainty is high. This study compared pre-season landings predictions of managed fish species in the South Atlantic to post-season estimates and investigated the existence of management uncertainty, and evaluated its magnitude and direction. Results indicate that the magnitude of management uncertainty for some stocks in the region may be significant. It appears that recreational fisheries have significantly greater management uncertainty than commercial fisheries, and that commercial fisheries are often producing landings smaller than intended or predicted. No relationship was found between regulatory mechanism or the magnitude of a fishery and management uncertainty. The study also revealed that documentation of the methodology used to determine preseason catch estimates is often not sufficient to repeat estimation procedures. The results of this study will have immediate and direct utility in the setting of future management regulations, ACLs, and ACTs in the South Atlantic region, and perhaps beyond. Master of Science
- Published
- 2013
21. Immunizing Conic Quadratic Optimization Problems Against Implementation Errors
- Author
-
Ben-Tal, A., den Hertog, D., Research Group: Operations Research, and Econometrics and Operations Research
- Subjects
hidden convexity ,simultaneous diagonalizability ,MathematicsofComputing_NUMERICALANALYSIS ,S-lemma ,robust optimization ,implementation error ,Conic Quadratic Program - Abstract
We show that the robust counterpart of a convex quadratic constraint with ellipsoidal implementation error is equivalent to a system of conic quadratic constraints. To prove this result we first derive a sharper result for the S-lemma in case the two matrices involved can be simultaneously diagonalized. This extension of the S-lemma may also be useful for other purposes. We extend the result to the case in which the uncertainty region is the intersection of two convex quadratic inequalities. The robust counterpart for this case is also equivalent to a system of conic quadratic constraints. Results for convex conic quadratic constraints with implementation error are also given. We conclude with showing how the theory developed can be applied in robust linear optimization with jointly uncertain parameters and implementation errors, in sequential robust quadratic programming, in Taguchi’s robust approach, and in the adjustable robust counterpart.
- Published
- 2011
22. Immunizing Conic Quadratic Optimization Problems Against Implementation Errors
- Subjects
hidden convexity ,simultaneous diagonalizability ,MathematicsofComputing_NUMERICALANALYSIS ,S-lemma ,robust optimization ,implementation error ,Conic Quadratic Program - Abstract
We show that the robust counterpart of a convex quadratic constraint with ellipsoidal implementation error is equivalent to a system of conic quadratic constraints. To prove this result we first derive a sharper result for the S-lemma in case the two matrices involved can be simultaneously diagonalized. This extension of the S-lemma may also be useful for other purposes. We extend the result to the case in which the uncertainty region is the intersection of two convex quadratic inequalities. The robust counterpart for this case is also equivalent to a system of conic quadratic constraints. Results for convex conic quadratic constraints with implementation error are also given. We conclude with showing how the theory developed can be applied in robust linear optimization with jointly uncertain parameters and implementation errors, in sequential robust quadratic programming, in Taguchi’s robust approach, and in the adjustable robust counterpart.
- Published
- 2011
23. Immunizing Conic Quadratic Optimization Problems Against Implementation Errors
- Subjects
hidden convexity ,simultaneous diagonalizability ,S-lemma ,robust optimization ,implementation error ,Conic Quadratic Program - Abstract
We show that the robust counterpart of a convex quadratic constraint with ellipsoidal implementation error is equivalent to a system of conic quadratic constraints. To prove this result we first derive a sharper result for the S-lemma in case the two matrices involved can be simultaneously diagonalized. This extension of the S-lemma may also be useful for other purposes. We extend the result to the case in which the uncertainty region is the intersection of two convex quadratic inequalities. The robust counterpart for this case is also equivalent to a system of conic quadratic constraints. Results for convex conic quadratic constraints with implementation error are also given. We conclude with showing how the theory developed can be applied in robust linear optimization with jointly uncertain parameters and implementation errors, in sequential robust quadratic programming, in Taguchi’s robust approach, and in the adjustable robust counterpart.
- Published
- 2011
24. H ∞ bounded resilient state-feedback design for linear continuous-time systems -a robust control approach
- Author
-
Briat, Corentin, Martinez, J. J., Briat, Corentin, and Martinez, J. J.
- Abstract
The quadratic stabilization of LTI systems by bounded resilient state-feedback controllers is addressed. The controllers are guaranteed to be non-fragile with respect to either uniform or nonuniform maximal implementation errors. The design of resilient controller relies on an LMI problem while boundedness of the coefficients (a NP-Hard problem) can be guaranteed by solving a nonconvex problem involving a BMI. The latter problem is solved using proposed locally convergent iterative LMI algorithms. Finally, an example is considered in order to illustrate the effectiveness of the approach., QC 20140903
- Published
- 2011
- Full Text
- View/download PDF
25. Impact of the fourth-order compact difference scheme on computational properties of 3D grids in a nonhydrostatic model
- Author
-
Liu, Yu-di, Zhang, Qing-hong, Lau, Alexis Kai Hon, Liu, Yu-di, Zhang, Qing-hong, and Lau, Alexis Kai Hon
- Abstract
To investigate the potential of the fourth-order compact difference scheme within the specific context of numerical atmospheric models, a linear baroclinic adjustment system is discretized, using a variety of candidates for practically meaningful staggered 3D grids. A unified method is introduced to derive the dispersion relationship of the baroclinic geostrophic adjustment process. Eight popular 3D grids are obtained by combining contemporary horizontal staggered grids, such as the Arakawa C and Eliassen grids, with optimal vertical grids, such as the Lorenz and Charney-Phillip (CP) grids, and their time-staggered versions. The errors produced on the 3D grids in describing the baroclinic geostrophic adjustment process relative to the differential case are compared in terms of frequency and group velocity components with the elimination of implementation error. The results show that by utilizing the fourth-order compact difference scheme with high precision, instead of the conventional second-order centered difference scheme, the errors in describing baroclinic geostrophic adjustment process decrease but only when using the combinations of the horizontally staggered Arakawa C grid and the vertically staggered CP or the C/CP grid, the time-horizontally staggered Eliassen (EL) and and vertically staggered CP or the EL/CP grid, the C grid and the vertically time-staggered versions of Lorenz (LTS) grid or C/LTS grid, EL grid and LTS grid or EL/LTS grid. The errors were found to increase for specific waves on the rest grids. It can be concluded that errors produced on the chosen 3D grids do not universally decrease when using the fourth-order compact difference scheme; hence, care should be taken when implementing the fourth-order compact difference scheme, otherwise, the expected benefits may be offset by increased errors. Copyright (C) 2008 John Wiley & Sons, Ltd.
- Published
- 2009
26. Robust Optimization Using Computer Experiments
- Author
-
Stinstra, E., den Hertog, D., Research Group: Operations Research, and Econometrics and Operations Research
- Subjects
metamodel error ,computer simulation ,implementation error ,simulation-model error ,robust counterpart - Abstract
During metamodel-based optimization three types of implicit errors are typically made.The first error is the simulation-model error, which is defined by the difference between reality and the computer model.The second error is the metamodel error, which is defined by the difference between the computer model and the metamodel.The third is the implementation error.This paper presents new ideas on how to cope with these errors during optimization, in such a way that the final solution is robust with respect to these errors.We apply the robust counterpart theory of Ben-Tal and Nemirovsky to the most frequently used metamodels: linear regression and Kriging models.The methods proposed are applied to the design of two parts of the TV tube.The simulationmodel errors receive little attention in the literature, while in practice these errors may have a significant impact due to propagation of such errors.
- Published
- 2005
27. Robust Optimization Using Computer Experiments
- Author
-
Dick den Hertog, Erwin Stinstra, Research Group: Operations Research, and Econometrics and Operations Research
- Subjects
Information Systems and Management ,General Computer Science ,Computer science ,jel:C61 ,Linear model ,Robust optimization ,Regression analysis ,Management Science and Operations Research ,Computer experiment ,Industrial and Manufacturing Engineering ,Metamodeling ,jel:C15 ,computer simulation ,robust counterpart ,simulation-model error ,implementation error ,metamodel error ,Kriging ,Modeling and Simulation ,Linear regression ,Algorithm ,Simulation - Abstract
During metamodel-based optimization three types of implicit errors are typically made. The first error is the simulation-model error, which is defined by the difference between reality and the computer model. The second error is the metamodel error, which is defined by the difference between the computer model and the metamodel. The third is the implementation error. This paper presents new ideas on how to cope with these errors during optimization, in such a way that the final solution is robust with respect to these errors. We apply the robust counterpart theory of Ben-Tal and Nemirovsky to the most frequently used metamodels: linear regression and Kriging models. The methods proposed are applied to the design of two parts of the TV tube. The simulation-model errors receive little attention in the literature, while in practice these errors may have a significant impact due to propagation of such errors.
- Published
- 2005
28. Robust Optimization Using Computer Experiments
- Subjects
metamodel error ,computer simulation ,implementation error ,simulation-model error ,robust counterpart - Abstract
During metamodel-based optimization three types of implicit errors are typically made.The first error is the simulation-model error, which is defined by the difference between reality and the computer model.The second error is the metamodel error, which is defined by the difference between the computer model and the metamodel.The third is the implementation error.This paper presents new ideas on how to cope with these errors during optimization, in such a way that the final solution is robust with respect to these errors.We apply the robust counterpart theory of Ben-Tal and Nemirovsky to the most frequently used metamodels: linear regression and Kriging models.The methods proposed are applied to the design of two parts of the TV tube.The simulationmodel errors receive little attention in the literature, while in practice these errors may have a significant impact due to propagation of such errors.
- Published
- 2005
29. Robust Optimization Using Computer Experiments
- Subjects
metamodel error ,computer simulation ,implementation error ,simulation-model error ,robust counterpart - Abstract
During metamodel-based optimization three types of implicit errors are typically made.The first error is the simulation-model error, which is defined by the difference between reality and the computer model.The second error is the metamodel error, which is defined by the difference between the computer model and the metamodel.The third is the implementation error.This paper presents new ideas on how to cope with these errors during optimization, in such a way that the final solution is robust with respect to these errors.We apply the robust counterpart theory of Ben-Tal and Nemirovsky to the most frequently used metamodels: linear regression and Kriging models.The methods proposed are applied to the design of two parts of the TV tube.The simulationmodel errors receive little attention in the literature, while in practice these errors may have a significant impact due to propagation of such errors.
- Published
- 2005
30. Impact of the fourth-order compact difference scheme on computational properties of 3D grids in a nonhydrostatic model
- Author
-
Liu, Yu-di, Zhang, Qing-hong, Lau, Alexis Kai Hon, Liu, Yu-di, Zhang, Qing-hong, and Lau, Alexis Kai Hon
- Abstract
To investigate the potential of the fourth-order compact difference scheme within the specific context of numerical atmospheric models, a linear baroclinic adjustment system is discretized, using a variety of candidates for practically meaningful staggered 3D grids. A unified method is introduced to derive the dispersion relationship of the baroclinic geostrophic adjustment process. Eight popular 3D grids are obtained by combining contemporary horizontal staggered grids, such as the Arakawa C and Eliassen grids, with optimal vertical grids, such as the Lorenz and Charney-Phillip (CP) grids, and their time-staggered versions. The errors produced on the 3D grids in describing the baroclinic geostrophic adjustment process relative to the differential case are compared in terms of frequency and group velocity components with the elimination of implementation error. The results show that by utilizing the fourth-order compact difference scheme with high precision, instead of the conventional second-order centered difference scheme, the errors in describing baroclinic geostrophic adjustment process decrease but only when using the combinations of the horizontally staggered Arakawa C grid and the vertically staggered CP or the C/CP grid, the time-horizontally staggered Eliassen (EL) and and vertically staggered CP or the EL/CP grid, the C grid and the vertically time-staggered versions of Lorenz (LTS) grid or C/LTS grid, EL grid and LTS grid or EL/LTS grid. The errors were found to increase for specific waves on the rest grids. It can be concluded that errors produced on the chosen 3D grids do not universally decrease when using the fourth-order compact difference scheme; hence, care should be taken when implementing the fourth-order compact difference scheme, otherwise, the expected benefits may be offset by increased errors. Copyright (C) 2008 John Wiley & Sons, Ltd.
- Published
- 2008
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