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2. Operations Research Proceedings 2010 : Selected Papers of the Annual International Conference of the German Operations Research Society
- Author
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Bo Hu, Karl Morasch, Stefan Pickl, Markus Siegle, Bo Hu, Karl Morasch, Stefan Pickl, and Markus Siegle
- Subjects
- Operations research, Management science, Engineering mathematics, Engineering—Data processing, Mathematical optimization, Mathematical models
- Abstract
This book contains selected papers from the symposium'Operations Research 2010'which was held from September 1-3, 2010 at the'Universität der Bundeswehr München', Germany. The international conference, which also serves as the annual meeting of the German Operations Research Society (GOR), attracted more than 600 participants from more than thirty countries. The general theme'Mastering Complexity'focusses on a natural component of the globalization process. Financial markets, traffic systems, network topologies and, last but not least, energy resource management, all contain complex behaviour and economic interdependencies which necessitate a scientific solution. Operations Research is one of the key instruments to model, simulate and analyze such systems. In the process of developing optimal solutions, suitable heuristics and efficient procedures are some of the challenges which are discussed in this volume.
- Published
- 2011
3. Modeling, Dynamics, Optimization and Bioeconomics IV : DGS VI JOLATE, Madrid, Spain, May 2018, and ICABR, Berkeley, USA, May–June 2017—Selected Contributions
- Author
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Alberto Pinto, David Zilberman, Alberto Pinto, and David Zilberman
- Subjects
- Mathematics—Philosophy, Mathematical models, Mathematical optimization, Dynamical systems, System theory, Control theory, Operations research
- Abstract
This book, following the three published volumes of the book, provides the main purpose to collect research papers and review papers to provide an overview of the main issues, results, and open questions in the cutting-edge research on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of this book is to collect papers of the world experts in mathematics, economics, and other applied sciences that is seminal to the future research developments. The majority of the papers presented in this book is authored by the participants in The Joint Meeting 6th International Conference on Dynamics, Games, and Science – DGSVI – JOLATE and in the 21st ICABR Conference. The scientific scope of the conferences is focused on the fields ofmodeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology, and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of the conference is to bring together some of the world experts in mathematics, economics, and other applied sciences that reinforce ongoing projects and establish future works and collaborations.
- Published
- 2021
4. Topics in Applied Analysis and Optimisation : Partial Differential Equations, Stochastic and Numerical Analysis
- Author
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Michael Hintermüller, José Francisco Rodrigues, Michael Hintermüller, and José Francisco Rodrigues
- Subjects
- Differential equations, Mathematical optimization, Mathematical models, Probabilities, Numerical analysis, Mathematical physics
- Abstract
This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.
- Published
- 2019
5. Modeling, Stochastic Control, Optimization, and Applications
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George Yin, Qing Zhang, George Yin, and Qing Zhang
- Subjects
- Probabilities, Mathematical optimization, Calculus of variations, Mathematical models
- Abstract
This volume collects papers, based on invited talks given at the IMA workshop in Modeling, Stochastic Control, Optimization, and Related Applications, held at the Institute for Mathematics and Its Applications, University of Minnesota, during May and June, 2018. There were four week-long workshops during the conference. They are (1) stochastic control, computation methods, and applications, (2) queueing theory and networked systems, (3) ecological and biological applications, and (4) finance and economics applications. For broader impacts, researchers from different fields covering both theoretically oriented and application intensive areas were invited to participate in the conference. It brought together researchers from multi-disciplinary communities in applied mathematics, applied probability, engineering, biology, ecology, and networked science, to review, and substantially update most recent progress. As an archive, this volume presents some of the highlights of the workshops, and collect papers covering a broad range of topics.
- Published
- 2019
6. Optimization Methods and Applications
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Xiao-qi Yang, Kok Lay Teo, Lou Caccetta, Xiao-qi Yang, Kok Lay Teo, and Lou Caccetta
- Subjects
- Software engineering, Mathematical optimization, Mathematics, Calculus of variations, Electrical engineering, Mathematical models
- Abstract
This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.
- Published
- 2013
7. Biocomputing
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Panos M. Pardalos, J.C. Principe, Panos M. Pardalos, and J.C. Principe
- Subjects
- Biomedical engineering, Mathematical optimization, Algorithms, Mathematical models
- Abstract
In the quest to understand and model the healthy or sick human body, re searchers and medical doctors are utilizing more and more quantitative tools and techniques. This trend is pushing the envelope of a new field we call Biomedical Computing, as an exciting frontier among signal processing, pattern recognition, optimization, nonlinear dynamics, computer science and biology, chemistry and medicine. A conference on Biocomputing was held during February 25-27, 2001 at the University of Florida. The conference was sponsored by the Center for Applied Optimization, the Computational Neuroengineering Center, the Biomedical En gineering Program (through a Whitaker Foundation grant), the Brain Institute, the School of Engineering, and the University of Florida Research & Graduate Programs. The conference provided a forum for researchers to discuss and present new directions in Biocomputing. The well-attended three days event was highlighted by the presence of top researchers in the field who presented their work in Biocomputing. This volume contains a selective collection of ref ereed papers based on talks presented at this conference. You will find seminal contributions in genomics, global optimization, computational neuroscience, FMRI, brain dynamics, epileptic seizure prediction and cancer diagnostics. We would like to take the opportunity to thank the sponsors, the authors of the papers, the anonymous referees, and Kluwer Academic Publishers for making the conference successful and the publication of this volume possible. Panos M. Pardalos and Jose C.
- Published
- 2013
8. Frontiers in Global Optimization
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Christodoulos A. Floudas, Panos M. Pardalos, Christodoulos A. Floudas, and Panos M. Pardalos
- Subjects
- Mathematical optimization, Algorithms, Mathematical models
- Abstract
Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine, structural optimization, computer sciences, operations research, economics, and engineering design and control. This book contains refereed invited papers submitted at the 4th international confer ence on Frontiers in Global Optimization held at Santorini, Greece during June 8-12, 2003. Santorini is one of the few sites of Greece, with wild beauty created by the explosion of a volcano which is in the middle of the gulf of the island. The mystic landscape with its numerous mult-extrema, was an inspiring location particularly for researchers working on global optimization. The three previous conferences on'Recent Advances in Global Opti mization','State-of-the-Art in Global Optimization', and'Optimization in Computational Chemistry and Molecular Biology: Local and Global approaches'took place at Princeton University in 1991, 1995, and 1999, respectively. The papers in this volume focus on de terministic methods for global optimization, stochastic methods for global optimization, distributed computing methods in global optimization, and applications of global optimiza tion in several branches of applied science and engineering, computer science, computational chemistry, structural biology, and bio-informatics.
- Published
- 2013
9. Handbook of Networks in Power Systems I
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Alexey Sorokin, Steffen Rebennack, Panos M. Pardalos, Niko A. Iliadis, Mario V. F. Pereira, Alexey Sorokin, Steffen Rebennack, Panos M. Pardalos, Niko A. Iliadis, and Mario V. F. Pereira
- Subjects
- Electric power systems--Mathematical models--Handbooks, manuals, etc, Electric power supplies to apparatus, Mathematical models, Electric networks--Mathematical models--Handbooks, manuals, etc
- Abstract
Energy has been an inevitable component of human lives for decades. Recent rapid developments in the area require analyzing energy systems not as independent components but rather as connected interdependent networks. The Handbook of Networks in Power Systems includes the state-of-the-art developments that occurred in the power systems networks, in particular gas, electricity, liquid fuels, freight networks, as well as their interactions. The book is separated into two volumes with three sections, where one scientific paper or more are included to cover most important areas of networks in power systems. The first volume covers topics arising in electricity network, in particular electricity markets, smart grid, network expansion, as well as risk management. The second volume presents problems arising in gas networks; such as scheduling and planning of natural gas systems, pricing, as well as optimal location of gas supply units. In addition, the second volume covers the topics of interactions between energy networks. Each subject is identified following the activity on the domain and the recognition of each subject as an area of research. The scientific papers are authored by world specialists on the domain and present either state-of-the-arts reviews or scientific developments.
- Published
- 2012
10. Mathematical Methods for Engineering Applications : ICMASE 2022, Bucharest, Romania, July 4–7
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Fatih Yilmaz, Araceli Queiruga-Dios, Jesús Martín Vaquero, Ion Mierluş-Mazilu, Deolinda Rasteiro, Víctor Gayoso Martínez, Fatih Yilmaz, Araceli Queiruga-Dios, Jesús Martín Vaquero, Ion Mierluş-Mazilu, Deolinda Rasteiro, and Víctor Gayoso Martínez
- Subjects
- Mathematical optimization, Mathematical models, Difference equations, Functional equations, Mathematics—Data processing, Number theory
- Abstract
This proceedings volume convenes selected, peer-reviewed papers presented at the 3rd International Conference on Mathematics and its Applications in Science and Engineering – ICMASE 2022, which was held on July 4–7, 2022 by the Technical University of Civil Engineering of Bucharest, Romania.Works in this volume cover new developments in applications of mathematics in science and engineering, with emphasis on mathematical and computational modeling of real-world problems. Topics range from the use of differential equations to model mechanical structures to the employ of number theory in the development of information security and cryptography. Educational issues specific to the acquisition of mathematical competencies by engineering and science students at all university levels are also touched on.Researchers and university students are the natural audiences for this book, which can be equally appealing to practitioners seeking up-to-date techniques in mathematical applications to different contexts and disciplines.
- Published
- 2023
11. Engineering Mathematics and Computing
- Author
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Park Gyei-Kark, Dipak Kumar Jana, Prabir Panja, Mohd Helmy Abd Wahab, Park Gyei-Kark, Dipak Kumar Jana, Prabir Panja, and Mohd Helmy Abd Wahab
- Subjects
- Computer science—Mathematics, Engineering mathematics, Operations research, Mathematical models, Artificial intelligence, Mathematical optimization
- Abstract
This book contains select papers presented at the 3rd International Conference on Engineering Mathematics and Computing (ICEMC 2020), held at the Haldia Institute of Technology, Purba Midnapur, West Bengal, India, from 5–7 February 2020. The book discusses new developments and advances in the areas of neural networks, connectionist systems, genetic algorithms, evolutionary computation, artificial intelligence, cellular automata, self-organizing systems, soft computing, fuzzy systems, hybrid intelligent systems, etc. The book, containing 19 chapters, is useful to the researchers, scholars, and practising engineers as well as graduate students of engineering and applied sciences.
- Published
- 2022
12. Operational Research : IO 2019, Tomar, Portugal, July 22–24
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Susana Relvas, João Paulo Almeida, José Fernando Oliveira, Alberto Adrego Pinto, Susana Relvas, João Paulo Almeida, José Fernando Oliveira, and Alberto Adrego Pinto
- Subjects
- Mathematical models, Mathematical optimization, Operations research, Mathematics—Data processing, Algorithms, Mathematics—Philosophy
- Abstract
This book addresses complex real-world problems with recent techniques. It comprises selected papers from the XX. congress APDIO held in Tomar, Portugal, in July 2019. The subject of the book is the application of operational research methodologies and techniques to address complex real problems. Readers will find interesting results and applications of operational research methods and techniques in the wide variety of the addressed problems. Of particular interest are the applications of, among others, linear, nonlinear and mixed-integer programing, multiobjective optimization, metaheuristics and hybrid heuristics, multicriteria decision analysis, data envelopment analysis, clustering techniques and decision support systems, in different areas such as supply chain management, scheduling problems, production management, logistics, energy, telecommunications and finance and health. In most chapters of the book, the described problems, methods and methodologies will be illustrated by auxiliary figures and tables, as well as algorithms. The main benefit of this book is to present the latest trends in operational research methods and methodologies by top Portuguese and international researchers. The book will present a wide scope of complex real-world applications addressed by recent theoretical techniques that aim to narrow the gap between academic researchers and practitioners.
- Published
- 2021
13. Mathematical Modelling, Optimization, Analytic and Numerical Solutions
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Pammy Manchanda, René Pierre Lozi, Abul Hasan Siddiqi, Pammy Manchanda, René Pierre Lozi, and Abul Hasan Siddiqi
- Subjects
- Mathematical models, Mathematical optimization
- Abstract
This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.
- Published
- 2020
14. Math for the Digital Factory
- Author
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Luca Ghezzi, Dietmar Hömberg, Chantal Landry, Luca Ghezzi, Dietmar Hömberg, and Chantal Landry
- Subjects
- Statistics, Management science, Operations research, System theory, Mathematics, Manufacturing processes--Mathematical models, Calculus of variations, Mathematical models, Computer science--Mathematics
- Abstract
This volume provides a unique collection of mathematical tools and industrial case studies in digital manufacturing. It addresses various topics, ranging from models of single production technologies, production lines, logistics and workflows to models and optimization strategies for energy consumption in production. The digital factory represents a network of digital models and simulation and 3D visualization methods for the holistic planning, realization, control and ongoing improvement of all factory processes related to a specific product. In the past ten years, all industrialized countries have launched initiatives to realize this vision, sometimes also referred to as Industry 4.0 (in Europe) or Smart Manufacturing (in the United States). Its main goals are • reconfigurable, adaptive and evolving factories capable of small-scale production • high-performance production, combining flexibility, productivity, precision and zero defects •energy and resource efficiency in manufacturing None of these goals can be achieved without a thorough modeling of all aspects of manufacturing together with a multi-scale simulation and optimization of process chains; in other words, without mathematics. To foster collaboration between mathematics and industry in this area the European Consortium for Mathematics in Industry (ECMI) founded a special interest group on Math for the Digital Factory (M4DiFa). This book compiles a selection of review papers from the M4DiFa kick-off meeting held at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin, Germany, in May 2014. The workshop aimed at bringing together mathematicians working on modeling, simulation and optimization with researchers and practitioners from the manufacturing industry to develop a holistic mathematical view on digital manufacturing. This book is of interest to practitioners from industry who want to learn about important mathematical concepts, as well as to scientists who want to find out about an exciting new area of application that is of vital importance for today's highly industrialized and high-wage countries.
- Published
- 2017
15. Operations Research in Space and Air
- Author
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Tito A. Ciriani, G. Fasano, S. Gliozzi, Roberto Tadei, Tito A. Ciriani, G. Fasano, S. Gliozzi, and Roberto Tadei
- Subjects
- Software engineering, Astronomy, Mathematical optimization, System theory, Control theory, Automotive engineering, Mathematical models
- Abstract
Operations Research in Space and Air is a selection of papers reflecting the experience and expertise of international OR consulting companies and academic groups. The global market and competition play a crucial part in the decision making processes within the Space and Air industries and this book gives practical examples of how advanced applications can be used by Space and Air industry management. The material within the book provides both the basic background for the novice modeler and a useful reference for experienced modelers. Students, researchers and OR practitioners will appreciate the details of the modeling techniques, the processes that have been implemented and the computational results that demonstrate the benefits in applying OR in the Space and Airline industries. Advances in PC and Workstations technology, in optimiza tion engines and in modeling techniques now enable solving problems, never before attained by Operations Research. In recent years the Ital ian OR Society (AfRO, www. airo. org) has organized annual forums for researchers and practitioners to meet together to present and dis cuss the various scientific and technical OR achievements. The OR in Space 8 Air session of AfR02001 and AfR02002 Conferences, together with optimization tools'applications, presented recent results achieved by Alenia Spazio S. p. A. (Turin), Alitalia, Milan Polytechnic and Turin Polytechinc. With additional contributions from academia and indus try they have enabled us to capture, in print, today's'state-of-the-art'optimization and data mining solutions.
- Published
- 2013
16. Modern Optimisation Techniques in Power Systems
- Author
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Yong-Hua Song and Yong-Hua Song
- Subjects
- Electric power production, Electrical engineering, Mathematical optimization, System theory, Control theory, Artificial intelligence, Mathematical models
- Abstract
The electric power industry is currently undergoing an unprecedented reform. The deregulation of electricity supply industry has introduced new opportunity for competition to reduce the cost and cut the price. It is a tremendous challenge for utilities to maintain an economical and reliable supply of electricity in such an environment. Faced by an increasingly complicated existence, power utilities need efficient tools and aids to ensure that electrical energy of the desired quality can be provided at the lowest cost. The overall objective, both for short-term and long-term operations, is then to find the best compromise between the requirements of security and economy. That is, effective tools are urgently required to solve highly constrained optimisation problems. In recent years, several major modem optimisation techniques have been applied to power systems. A large number of papers and reports have been published. In this respect, it is timely to edit a book on this topic with an aim to report the state of the art development internationally in this area.
- Published
- 2013
17. System Modeling and Optimization XX : IFIP TC7 20th Conference on System Modeling and Optimization July 23–27, 2001, Trier, Germany
- Author
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E.W. Sachs, R. Tichatschke, E.W. Sachs, and R. Tichatschke
- Subjects
- Control engineering, Robotics, Automation, Software engineering, Mathematics, Mathematical optimization, Calculus of variations, Mathematical models
- Abstract
System Modeling and Optimization XX deals with new developments in the areas of optimization, optimal control and system modeling. The themes range across various areas of optimization: continuous and discrete, numerical and analytical, finite and infinite dimensional, deterministic and stochastic, static and dynamic, theory and applications, foundations and case studies. Besides some classical topics, modern areas are also presented in the contributions, including robust optimization, filter methods, optimization of power networks, data mining and risk control. This volume contains invited and selected papers from presentations at the 20th IFIP TC7 Conference on System Modeling and Optimization, which took place at the University of Trier, Germany from July 23 to 27, 2001, and which was sponsored by the International Federation for Information Processing (IFIP).
- Published
- 2013
18. New Trends in Mathematical Programming : Homage to Steven Vajda
- Author
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F. Giannessi, Sándor Komlósi, Tamás Rapcsák, F. Giannessi, Sándor Komlósi, and Tamás Rapcsák
- Subjects
- Software engineering, Mathematical optimization, Mathematical models, Algorithms, Mathematics—Data processing, Computer science—Mathematics, Discrete mathematics
- Abstract
Though the volume covers 22 papers by 36 authors from 12 countries, the history in the background is bound to Hungary where, in 1973 Andras Pn§kopa started to lay the foundation of a scientific forum, which can be a regular meeting spot for experts of the world in the field. Since then, there has been a constant interest in that forum. Headed at present by Tamas Rapcsak, the Laboratory of Operations Research and Decisions Systems of the Computer and Automation Institute, Hungarian Academy of Sciences followed the tradition in every respect, namely conferences were organized almost in every second year and in the same stimulating area, in the Matra mountains. The basic fields were kept, providing opportunities for the leading personalities to give voice to their latest results. The floor has been widened recently for the young generation, ensuring this way both a real location for the past, present and future experts to meet and also the possibility for them to make the multicoloured rainbow of the fields unbroken and continuous. The volume is devoted to the memory of Steven Vajda, one of the pioneers on mathematical programming, born is Hungary. In 1992 he took part in the XIth International Conference on Mathematical Programming at Matrafiired where, with his bright personality, he greatly contributed to the good spirituality of the event. We thank Jakob Krarup for his reminiscence on the life and scientific activities of late Steven Vajda.
- Published
- 2013
19. High Performance Algorithms and Software in Nonlinear Optimization
- Author
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Renato de Leone, Almerico Murli, Panos M. Pardalos, Gerardo Toraldo, Renato de Leone, Almerico Murli, Panos M. Pardalos, and Gerardo Toraldo
- Subjects
- Mathematical optimization, Algorithms, Mathematical models, Numerical analysis, Functions of real variables
- Abstract
This book contains a selection of papers presented at the conference on High Performance Software for Nonlinear Optimization (HPSN097) which was held in Ischia, Italy, in June 1997. The rapid progress of computer technologies, including new parallel architec tures, has stimulated a large amount of research devoted to building software environments and defining algorithms able to fully exploit this new computa tional power. In some sense, numerical analysis has to conform itself to the new tools. The impact of parallel computing in nonlinear optimization, which had a slow start at the beginning, seems now to increase at a fast rate, and it is reasonable to expect an even greater acceleration in the future. As with the first HPSNO conference, the goal of the HPSN097 conference was to supply a broad overview of the more recent developments and trends in nonlinear optimization, emphasizing the algorithmic and high performance software aspects. Bringing together new computational methodologies with theoretical ad vances and new computer technologies is an exciting challenge that involves all scientists willing to develop high performance numerical software. This book contains several important contributions from different and com plementary standpoints. Obviously, the articles in the book do not cover all the areas of the conference topic or all the most recent developments, because of the large number of new theoretical and computational ideas of the last few years.
- Published
- 2013
20. Advances in Convex Analysis and Global Optimization : Honoring the Memory of C. Caratheodory (1873–1950)
- Author
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Nicolas Hadjisavvas, Panos M. Pardalos, Nicolas Hadjisavvas, and Panos M. Pardalos
- Subjects
- Mathematical optimization, Algorithms, Mathematical models
- Abstract
There has been much recent progress in global optimization algo rithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. Convex analysis plays a fun damental role in the analysis and development of global optimization algorithms. This is due essentially to the fact that virtually all noncon vex optimization problems can be described using differences of convex functions and differences of convex sets. A conference on Convex Analysis and Global Optimization was held during June 5 -9, 2000 at Pythagorion, Samos, Greece. The conference was honoring the memory of C. Caratheodory (1873-1950) and was en dorsed by the Mathematical Programming Society (MPS) and by the Society for Industrial and Applied Mathematics (SIAM) Activity Group in Optimization. The conference was sponsored by the European Union (through the EPEAEK program), the Department of Mathematics of the Aegean University and the Center for Applied Optimization of the University of Florida, by the General Secretariat of Research and Tech nology of Greece, by the Ministry of Education of Greece, and several local Greek government agencies and companies. This volume contains a selective collection of refereed papers based on invited and contribut ing talks presented at this conference. The two themes of convexity and global optimization pervade this book. The conference provided a forum for researchers working on different aspects of convexity and global opti mization to present their recent discoveries, and to interact with people working on complementary aspects of mathematical programming.
- Published
- 2013
21. Equilibrium Problems and Variational Models
- Author
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P. Daniele, F. Giannessi, A. Maugeri, P. Daniele, F. Giannessi, and A. Maugeri
- Subjects
- Mathematical optimization, Mathematical models
- Abstract
The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title'Equilibrium Problems and Variational Models', which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order deriva tives, geometric aspects, distance functions and log-quadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book'Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models', edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted to han dle problems whose equilibrium conditions are not obtained by the mini mization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) con dition, which enriches our knowledge of the equilibrium behaviour. Also this volume presents important examples of this formulation.
- Published
- 2013
22. Logic and Integer Programming
- Author
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H. Paul Williams and H. Paul Williams
- Subjects
- Software engineering, Operations research, Management science, Mathematical optimization, Mathematical models, Mathematical logic
- Abstract
Paul Williams, a leading authority on modeling in integer programming, has written a concise, readable introduction to the science and art of using modeling in logic for integer programming. Written for graduate and postgraduate students, as well as academics and practitioners, the book is divided into four chapters that all avoid the typical format of definitions, theorems and proofs and instead introduce concepts and results within the text through examples. References are given at the end of each chapter to the more mathematical papers and texts on the subject, and exercises are included to reinforce and expand on the material in the chapter. Methods of solving with both logic and IP are given and their connections are described. Applications in diverse fields are discussed, and Williams shows how IP models can be expressed as satisfiability problems and solved as such.
- Published
- 2009
23. How to Solve Real-world Optimization Problems : From Theory to Practice
- Author
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Eugene J. Zak and Eugene J. Zak
- Subjects
- Operations research, Mathematical optimization, Mathematical models, Algorithms, Computer software, Software engineering
- Abstract
Written by an experienced operations research practitioner with a strong applied mathematics background, this book offers practical insights into how to approach optimization problems, how to develop intelligent and efficient mathematical models and algorithms, and how to implement and deliver software products to customers. With a focus on revealing the similarities and differences between academia and industry in mathematical modeling, the book provides useful tips and advice based on the author's extensive experience as a principal developer working to solve real-world optimization problems for several major high-tech companies.The book offers valuable food for thought for researchers and practical guidance for graduate students preparing for their future projects in the industry. It is also an essential resource for practitioners working in the industrial, business, and service sectors.
- Published
- 2024
24. Disruptive Technologies and Optimization Towards Industry 4.0 Logistics
- Author
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Athanasia Karakitsiou, Athanasios Migdalas, Panos M. Pardalos, Athanasia Karakitsiou, Athanasios Migdalas, and Panos M. Pardalos
- Subjects
- Mathematical optimization, Production management, Manufactures, Operations research, Mathematical models
- Abstract
This contributed volume guides researchers and practitioners on resource collaborative management of supply chains and manufacturing enterprises within an industrial internet technological environment. The book comprises 10 chapters that cover two major topics in the subject of logistics 4.0, namely the utilization of both disruptive technologies and optimization techniques in smart logistic management. With global research on the book's topic expanding rapidly across various directions and disciplines, it provides a structured framework for international experts to showcase outstanding work and unique approaches. Researchers and students will find the comprehensive outline on collaborative optimization and management of smart manufacturing and production, warehousing, inventory, logistics, transportation, integrated supply chain, and supply network within the industrial internet platform a beneficial guide to understanding current and future practical problems that arise in manufacturing and supply chain management.
- Published
- 2024
25. Well-Posed Nonlinear Problems : A Study of Mathematical Models of Contact
- Author
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Mircea Sofonea and Mircea Sofonea
- Subjects
- Mathematical optimization, Calculus of variations, Mathematical models, Operator theory, Mechanics, Applied, Solids, Differential equations
- Abstract
This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, inequality problems, and optimal control problems. Another unique feature of the manuscript is the unitary treatment of mathematical models of contact, for which new variational formulations and convergence results are presented. Well-Posed Nonlinear Problems will be a valuable resource for PhD students and researchers studying contact problems. It will also be accessible to interested researchers in related fields, such as physics, mechanics, engineering, and operations research.
- Published
- 2023
26. Computational Intelligence Applied to Inverse Problems in Radiative Transfer
- Author
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Antônio José da Silva Neto, José Carlos Becceneri, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto, José Carlos Becceneri, and Haroldo Fraga de Campos Velho
- Subjects
- Mathematics—Data processing, Mathematical models, Computational intelligence, Mathematical optimization, Computer science
- Abstract
This book offers a careful selection of studies in optimization techniques based on artificial intelligence, applied to inverse problems in radiative transfer. In this book, the reader will find an in-depth exploration of heuristic optimization methods, each meticulously described and accompanied by historical context and natural process analogies.From simulated annealing and genetic algorithms to artificial neural networks, ant colony optimization, and particle swarms, this volume presents a wide range of heuristic methods. Additional approaches such as generalized extreme optimization, particle collision, differential evolution, Luus-Jaakola, and firefly algorithms are also discussed, providing a rich repertoire of tools for tackling challenging problems.While the applications showcased primarily focus on radiative transfer, their potential extends to various domains, particularly nonlinear and large-scale problems where traditional deterministic methods fall short. With clear and comprehensive presentations, this book empowers readers to adapt each method to their specific needs. Furthermore, practical examples of classical optimization problems and application suggestions are included to enhance your understanding.This book is suitable to any researcher or practitioner whose interests lie on optimization techniques based in artificial intelligence and bio-inspired algorithms, in fields like Applied Mathematics, Engineering, Computing, and cross-disciplinary areas.
- Published
- 2023
27. Mathematical Modeling
- Author
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J. N. Kapur and J. N. Kapur
- Subjects
- Mathematical models
- Abstract
This book can be used in courses on mathematical modeling at the senior undergraduate or graduate level, or used as a reference for in-service scientists and engineers. The book aims to provide an overview of mathematical modeling through a panoramic view of applications of mathematics in science and technology. In each chapter, mathematical models are chosen from the physical, biological, social, economic, management, and engineering sciences. The models deal with different concepts, but have a common mathematical structure and bring out the unifying influence of mathematical modeling in different disciplines. FEATURES:Provides a balance between theory and applicationsFeatures models from the physical, biological, social, economic, management, and engineering sciences
- Published
- 2023
28. Applied Optimization in the Petroleum Industry
- Author
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Hesham K. Alfares and Hesham K. Alfares
- Subjects
- Cogeneration of electric power and heat, Fossil fuels, Industrial Management, Mathematical models, Operations research, Management science, Mathematical optimization
- Abstract
The book addresses optimization in the petroleum industry from a practical, large-scale-application-oriented point of view. The models and techniques presented help to optimize the limited resources in the industry in order to maximize economic benefits, ensure operational safety, and reduce environmental impact. The book discusses several important real-life applications of optimization in the petroleum industry, ranging from the scheduling of personnel time to the blending of gasoline. It covers a wide spectrum of relevant activities, including drilling, producing, maintenance, and distribution. The text begins with an introductory overview of the petroleum industry and then of optimization models and techniques. The main body of the book details a variety of applications of optimization models and techniques within the petroleum industry.Applied Optimization in the Petroleum Industry helps readers to find effective optimization-based solutions to their own practical problems in a large and important industrial sector, still the main source of the world's energy and the source of raw materials for a wide variety of industrial and consumer products.
- Published
- 2023
29. Applied Analysis, Optimization and Soft Computing : ICNAAO-2021, Varanasi, India, December 21–23
- Author
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Tanmoy Som, Debdas Ghosh, Oscar Castillo, Adrian Petrusel, Dayaram Sahu, Tanmoy Som, Debdas Ghosh, Oscar Castillo, Adrian Petrusel, and Dayaram Sahu
- Subjects
- Mathematical optimization, Mathematical analysis, Differential equations, Mathematical models, Computer science
- Abstract
This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21–23 December 2021. The book discusses topics in the areas of nonlinear analysis, fixed point theory, dynamical systems, optimization, fractals, applications to differential/integral equations, signal and image processing, and soft computing, and exposes the young talents with the newer dimensions in these areas with their practical approaches and to tackle the real-life problems in engineering, medical and social sciences. Scientists from the U.S.A., Austria, France, Mexico, Romania, and India have contributed their research. All the submissions are peer reviewed by experts in their fields.
- Published
- 2023
30. Operational Research : IO 2021—Analytics for a Better World. XXI Congress of APDIO, Figueira Da Foz, Portugal, November 7–8, 2021
- Author
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João Paulo Almeida, Carla Soares Geraldes, Isabel Cristina Lopes, Samuel Moniz, José Fernando Oliveira, Alberto Adrego Pinto, João Paulo Almeida, Carla Soares Geraldes, Isabel Cristina Lopes, Samuel Moniz, José Fernando Oliveira, and Alberto Adrego Pinto
- Subjects
- Mathematical models, Mathematical optimization, Operations research, Management science, Mathematics—Data processing, Game theory, Economics
- Abstract
This book provides the current status of research on the application of OR methods to solve emerging and relevant operations management problems. Each chapter is a selected contribution of the IO2021 - XXI Congress of APDIO, the Portuguese Association of Operational Research, held in Figueira da Foz from 7 to 8 November 2021. Under the theme of analytics for a better world, the book presents interesting results and applications of OR cutting-edge methods and techniques to various real-world problems. Of particular importance are works applying nonlinear, multi-objective optimization, hybrid heuristics, multicriteria decision analysis, data envelopment analysis, simulation, clustering techniques and decision support systems, in different areas such as supply chain management, production planning and scheduling, logistics, energy, telecommunications, finance and health. All chapters were carefully reviewed by the members of the scientific program committee.
- Published
- 2023
31. Progress in Industrial Mathematics at ECMI 2021
- Author
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Matthias Ehrhardt, Michael Günther, Matthias Ehrhardt, and Michael Günther
- Subjects
- Mathematical models, Mathematics—Data processing, Numerical analysis, Mathematical optimization, Differential equations
- Abstract
This book gathers peer-reviewed contributions submitted to the 21st European Conference on Mathematics for Industry, ECMI 2021, which was virtually held online, hosted by the University of Wuppertal, Germany, from April 13th to April 15th, 2021. The works explore mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics. Topics covered include: Applied Physics, Biology and Medicine, Cybersecurity, Data Science, Economics, Finance and Insurance, Energy, Production Systems, Social Challenges, and Vehicles and Transportation. The goal of the European Consortium for Mathematics in Industry (ECMI) conference series is to promote interaction between academia and industry, leading to innovations in both fields. These events have attracted leading experts from business, science and academia, and have promoted the application of novel mathematical technologies to industry. They have also encouraged industrial sectors to share challenging problems where mathematicians can provide fresh insights and perspectives. Lastly, the ECMI conferences are one of the main forums in which significant advances in industrial mathematics are presented, bringing together prominent figures from business, science and academia to promote the use of innovative mathematics in industry.
- Published
- 2022
32. Metric Fixed Point Theory : Applications in Science, Engineering and Behavioural Sciences
- Author
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Pradip Debnath, Nabanita Konwar, Stojan Radenović, Pradip Debnath, Nabanita Konwar, and Stojan Radenović
- Subjects
- Functional analysis, Mathematical optimization, Mathematical models
- Abstract
This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The book presents the study of common fixed points in a generalized metric space and fixed point results with applications in various modular metric spaces. New insight into parametric metric spaces as well as study of variational inequalities and variational control problems have been included.
- Published
- 2022
33. Multi-fidelity Surrogates : Modeling, Optimization and Applications
- Author
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Qi Zhou, Min Zhao, Jiexiang Hu, Mengying Ma, Qi Zhou, Min Zhao, Jiexiang Hu, and Mengying Ma
- Subjects
- Engineering design, Mathematical optimization, Engineering mathematics, Mathematical models
- Abstract
This book investigates two types of static multi-fidelity surrogates modeling approaches, sequential multi-fidelity surrogates modeling approaches, the multi-fidelity surrogates-assisted efficient global optimization, reliability analysis, robust design optimization, and evolutionary optimization. Multi-fidelity surrogates have attracted a significant amount of attention in simulation-based design and optimization in recent years. Some real-life engineering design problems, such as prediction of angular distortion in the laser welding, optimization design of micro-aerial vehicle fuselage, and optimization design of metamaterial vibration isolator, are also provided to illustrate the ability and merits of multi-fidelity surrogates in support of engineering design. Specifically, lots of illustrative examples are adopted throughout the book to help explain the approaches in a more “hands-on” manner. This book is a useful reference for postgraduates and researchers of mechanical engineering, as well as engineers of enterprises in related fields.
- Published
- 2022
34. Assembly Line Balancing Under Uncertain Task Time and Demand Volatility
- Author
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Yuchen Li and Yuchen Li
- Subjects
- Industrial engineering, Production engineering, Mathematical models, Mathematical optimization
- Abstract
This book introduces several mathematical models in assembly line balancing based on stochastic programming and develops exact and heuristic methods to solve them. An assembly line system is a manufacturing process in which parts are added in sequence from workstation to workstation until the final assembly is produced. In an assembly line balancing problem, tasks belonging to different product models are allocated to workstations according to their processing times and precedence relationships among tasks. It incorporates two features, uncertain task times, and demand volatility, separately and simultaneously, into the conventional assembly line balancing model. A real-life case study related to the mask production during the COVID-19 pandemic is presented to illustrate the application of the proposed framework and methodology. The book is intended for graduate students who are interested in combinatorial optimizations in manufacturing with uncertain input.
- Published
- 2022
35. Mathematical Modeling and Computation of Real-Time Problems : An Interdisciplinary Approach
- Author
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Rakhee Kulshrestha, Chandra Shekhar, Madhu Jain, Srinivas R. Chakravarthy, Rakhee Kulshrestha, Chandra Shekhar, Madhu Jain, and Srinivas R. Chakravarthy
- Subjects
- Mathematical models, Operations research, Stochastic processes, Mathematical optimization
- Abstract
This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.
- Published
- 2021
36. Stochastic Benchmarking : Theory and Applications
- Author
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Alireza Amirteimoori, Biresh K. Sahoo, Vincent Charles, Saber Mehdizadeh, Alireza Amirteimoori, Biresh K. Sahoo, Vincent Charles, and Saber Mehdizadeh
- Subjects
- Operations research, Stochastic models, Mathematical models, Mathematical optimization
- Abstract
This book introduces readers to benchmarking techniques in the stochastic environment, primarily stochastic data envelopment analysis (DEA), and provides stochastic models in DEA for the possibility of variations in inputs and outputs. It focuses on the application of theories and interpretations of the mathematical programs, which are combined with economic and organizational thinking. The book's main purpose is to shed light on the advantages of the different methods in deterministic and stochastic environments and thoroughly prepare readers to properly use these methods in various cases. Simple examples, along with graphical illustrations and real-world applications in industry, are provided for a better understanding. The models introduced here can be easily used in both theoretical and real-world evaluations. This book is intended for graduate and PhD students, advanced consultants, and practitioners with an interest in quantitative performance evaluation.
- Published
- 2021
37. Nonlinear Conjugate Gradient Methods for Unconstrained Optimization
- Author
-
Neculai Andrei and Neculai Andrei
- Subjects
- Mathematical optimization, Mathematical models
- Abstract
Two approaches are known for solving large-scale unconstrained optimization problems—the limited-memory quasi-Newton method (truncated Newton method) and the conjugate gradient method. This is the first book to detail conjugate gradient methods, showing their properties and convergence characteristics as well as their performance in solving large-scale unconstrained optimization problems and applications. Comparisons to the limited-memory and truncated Newton methods are also discussed. Topics studied in detail include: linear conjugate gradient methods, standard conjugate gradient methods, acceleration of conjugate gradient methods, hybrid, modifications of the standard scheme, memoryless BFGS preconditioned, and three-term. Other conjugate gradient methods with clustering the eigenvalues or with the minimization of the condition number of the iteration matrix, are also treated. For each method, the convergence analysis, the computational performances and thecomparisons versus other conjugate gradient methods are given. The theory behind the conjugate gradient algorithms presented as a methodology is developed with a clear, rigorous, and friendly exposition; the reader will gain an understanding of their properties and their convergence and will learn to develop and prove the convergence of his/her own methods. Numerous numerical studies are supplied with comparisons and comments on the behavior of conjugate gradient algorithms for solving a collection of 800 unconstrained optimization problems of different structures and complexities with the number of variables in the range [1000,10000]. The book is addressed to all those interested in developing and using new advanced techniques for solving unconstrained optimization complex problems. Mathematical programming researchers, theoreticians and practitioners in operations research, practitioners in engineering and industry researchers, as well as graduate students in mathematics, Ph.D. and master students in mathematical programming, will find plenty of information and practical applications for solving large-scale unconstrained optimization problems and applications by conjugate gradient methods.
- Published
- 2020
38. Mathematical Modelling in Real Life Problems : Case Studies From ECMI-Modelling Weeks
- Author
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Ewald Lindner, Alessandra Micheletti, Cláudia Nunes, Ewald Lindner, Alessandra Micheletti, and Cláudia Nunes
- Subjects
- Discrete mathematics, Computer science--Mathematics, Engineering mathematics, Mathematical models, Probabilities, Biomathematics, Mathematical optimization
- Abstract
This book is intended to be a useful contribution for the modern teaching of applied mathematics, educating Industrial Mathematicians that will meet the growing demand for such experts. It covers many applications where mathematics play a fundamental role, from biology, telecommunications, medicine, physics, finance and industry. It is presented in such a way that can be useful in Modelation, Simulation and Optimization courses, targeting master and PhD students. Its content is based on many editions from the successful series of Modelling Weeks organized by the European Consortium of Mathematics in Industry (ECMI). Each chapter addresses a particular problem, and is written in a didactic way, providing the description of the problem, the particular way of approaching it and the proposed solution, along with the results obtained.
- Published
- 2020
39. A Closer Look at the Travelling Salesman Problem
- Author
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Christina V. Østergaard and Christina V. Østergaard
- Subjects
- Mathematical models, Traveling salesman problem
- Abstract
A Closer Look at the Travelling Salesman Problem first defines the travelling salesman problem and then discusses important methods for solving it. The authors describe a novel search system, the attractor-based search system; this system uses a local search process to construct the solution attractor, and then completely searches the constructed solution attractor to find the optimal tour, solving the travelling salesman problem efficiently. Additionally, the hybrid of improvement and construction heuristics is presented, which produces a better cost-quality solution in lesser time. In the worst case, it creates a 1.91, 2.86 times better cost-quality compared to improvement and construction heuristics, respectively. The closing study reports on the solution of four 6-city, asymmetric traveling salesman problems on the D-Wave quantum processor. About 35% of the optimal tours were found by quantum means for a problem with 24 optimal tours and for another problem with 6 optimal tours.
- Published
- 2020
40. Optimization in Large Scale Problems : Industry 4.0 and Society 5.0 Applications
- Author
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Mahdi Fathi, Marzieh Khakifirooz, Panos M. Pardalos, Mahdi Fathi, Marzieh Khakifirooz, and Panos M. Pardalos
- Subjects
- Mathematical optimization, Business logistics, Mathematical models, Manufactures
- Abstract
This volume provides resourceful thinking and insightful management solutions to the many challenges that decision makers face in their predictions, preparations, and implementations of the key elements that our societies and industries need to take as they move toward digitalization and smartness. The discussions within the book aim to uncover the sources of large-scale problems in socio-industrial dilemmas, and the theories that can support these challenges. How theories might also transition to real applications is another question that this book aims to uncover. In answer to the viewpoints expressed by several practitioners and academicians, this book aims to provide both a learning platform which spotlights open questions with related case studies. The relationship between Industry 4.0 and Society 5.0 provides the basis for the expert contributions in this book, highlighting the uses of analytical methods such as mathematical optimization, heuristic methods, decomposition methods, stochastic optimization, and more. The book will prove useful to researchers, students, and engineers in different domains who encounter large scale optimization problems and will encourage them to undertake research in this timely and practical field. The book splits into two parts. The first part covers a general perspective and challenges in a smart society and in industry. The second part covers several case studies and solutions from the operations research perspective for large scale challenges specific to various industry and society related phenomena.
- Published
- 2019
41. Nanoelectronic Coupled Problems Solutions
- Author
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E. Jan W. ter Maten, Hans-Georg Brachtendorf, Roland Pulch, Wim Schoenmaker, Herbert De Gersem, E. Jan W. ter Maten, Hans-Georg Brachtendorf, Roland Pulch, Wim Schoenmaker, and Herbert De Gersem
- Subjects
- Mathematical models, Mathematical optimization
- Abstract
Designs in nanoelectronics often lead to challenging simulation problems and include strong feedback couplings. Industry demands provisions for variability in order to guarantee quality and yield. It also requires the incorporation of higher abstraction levels to allow for system simulation in order to shorten the design cycles, while at the same time preserving accuracy. The methods developed here promote a methodology for circuit-and-system-level modelling and simulation based on best practice rules, which are used to deal with coupled electromagnetic field-circuit-heat problems, as well as coupled electro-thermal-stress problems that emerge in nanoelectronic designs. This book covers: (1) advanced monolithic/multirate/co-simulation techniques, which are combined with envelope/wavelet approaches to create efficient and robust simulation techniques for strongly coupled systems that exploit the different dynamics of sub-systems within multiphysics problems, and which allow designers to predict reliability and ageing; (2) new generalized techniques in Uncertainty Quantification (UQ) for coupled problems to include a variability capability such that robust design and optimization, worst case analysis, and yield estimation with tiny failure probabilities are possible (including large deviations like 6-sigma); (3) enhanced sparse, parametric Model Order Reduction techniques with a posteriori error estimation for coupled problems and for UQ to reduce the complexity of the sub-systems while ensuring that the operational and coupling parameters can still be varied and that the reduced models offer higher abstraction levels that can be efficiently simulated. All the new algorithms produced were implemented, transferred and tested by the EDA vendor MAGWEL. Validation was conducted on industrial designs provided by end-users from the semiconductor industry, who shared their feedback, contributed to the measurements, and supplied both material data and process data. In closing, a thorough comparison to measurements on real devices was made in order to demonstrate the algorithms'industrial applicability.
- Published
- 2019
42. Large Scale Optimization in Supply Chains and Smart Manufacturing : Theory and Applications
- Author
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Jesús M. Velásquez-Bermúdez, Marzieh Khakifirooz, Mahdi Fathi, Jesús M. Velásquez-Bermúdez, Marzieh Khakifirooz, and Mahdi Fathi
- Subjects
- Mathematical optimization, Business logistics, Mathematical models, Manufactures
- Abstract
In this book, theory of large scale optimization is introduced with case studies of real-world problems and applications of structured mathematical modeling. The large scale optimization methods are represented by various theories such as Benders'decomposition, logic-based Benders'decomposition, Lagrangian relaxation, Dantzig –Wolfe decomposition, multi-tree decomposition, Van Roy'cross decomposition and parallel decomposition for mathematical programs such as mixed integer nonlinear programming and stochastic programming. Case studies of large scale optimization in supply chain management, smart manufacturing, and Industry 4.0 are investigated with efficient implementation for real-time solutions. The features of case studies cover a wide range of fields including the Internet of things, advanced transportation systems, energy management, supply chain networks, service systems, operations management, risk management, and financial and sales management. Instructors, graduate students, researchers, and practitioners, would benefit from this book finding the applicability of large scale optimization in asynchronous parallel optimization, real-time distributed network, and optimizing the knowledge-based expert system for convex and non-convex problems.
- Published
- 2019
43. Fault Diagnosis Inverse Problems: Solution with Metaheuristics
- Author
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Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto, Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, and Antônio José da Silva Neto
- Subjects
- Mathematical models, Mathematics—Data processing, Mathematical optimization, Calculus of variations
- Abstract
This book presents a methodology based on inverse problems for use in solutions for fault diagnosis in control systems, combining tools from mathematics, physics, computational and mathematical modeling, optimization and computational intelligence. This methodology, known as fault diagnosis – inverse problem methodology or FD-IPM, unifies the results of several years of work of the authors in the fields of fault detection and isolation (FDI), inverse problems and optimization. The book clearly and systematically presents the main ideas, concepts and results obtained in recent years. By formulating fault diagnosis as an inverse problem, and by solving it using metaheuristics, the authors offer researchers and students a fresh, interdisciplinary perspective for problem solving in these fields. Graduate courses in engineering, applied mathematics and computing also benefit from this work.
- Published
- 2018
44. Functional Analysis and Applications
- Author
-
Abul Hasan Siddiqi and Abul Hasan Siddiqi
- Subjects
- Functional analysis, Mathematical models, Mathematical optimization, Operator theory, Differential equations, Algorithms
- Abstract
This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.
- Published
- 2018
45. Linear and Nonlinear Optimization
- Author
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Richard W. Cottle, Mukund N. Thapa, Richard W. Cottle, and Mukund N. Thapa
- Subjects
- Decision making, Operations research, Business, Management science, Mathematical optimization, Mathematical models
- Abstract
This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided into two parts covering in their individual chapters LP Models and Applications; Linear Equations and Inequalities; The Simplex Algorithm; Simplex Algorithm Continued; Duality and the Dual Simplex Algorithm; Postoptimality Analyses; Computational Considerations; Nonlinear (NLP) Models and Applications; Unconstrained Optimization; Descent Methods; Optimality Conditions; Problems with Linear Constraints; Problems with Nonlinear Constraints; Interior-Point Methods; and an Appendix covering Mathematical Concepts. Each chapter ends with a set of exercises. The book is based on lecture notes the authors have used in numerous optimization courses the authors have taught at StanfordUniversity. It emphasizes modeling and numerical algorithms for optimization with continuous (not integer) variables. The discussion presents the underlying theory without always focusing on formal mathematical proofs (which can be found in cited references). Another feature of this book is its inclusion of cultural and historical matters, most often appearing among the footnotes.'This book is a real gem. The authors do a masterful job of rigorously presenting all of the relevant theory clearly and concisely while managing to avoid unnecessary tedious mathematical details. This is an ideal book for teaching a one or two semester masters-level course in optimization – it broadly covers linear and nonlinear programming effectively balancing modeling, algorithmic theory, computation, implementation, illuminating historical facts, and numerous interesting examples and exercises. Due to the clarity of the exposition, this book also serves as avaluable reference for self-study.'Professor Ilan Adler,IEOR Department,UC Berkeley'A carefully crafted introduction to the main elements and applications of mathematical optimization. This volume presents the essential concepts of linear and nonlinear programming in an accessible format filled with anecdotes, examples, and exercises that bring the topic to life. The authors plumb their decades of experience in optimization to provide an enriching layer of historical context. Suitable for advanced undergraduates and masters students in management science, operations research, and related fields.'Michael P. Friedlander,IBM Professor of Computer Science,Professor of Mathematics,University of British Columbia
- Published
- 2017
46. Fractional and Multivariable Calculus : Model Building and Optimization Problems
- Author
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A.M. Mathai, H.J. Haubold, A.M. Mathai, and H.J. Haubold
- Subjects
- Mathematical models, Mathematical optimization, Special functions, Mathematical analysis
- Abstract
This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe real-life situations.The first chapter begins with an introduction to fractional calculus moving on to discuss fractional integrals, fractional derivatives, fractional differential equations and their solutions. Multivariable calculus is covered in the second chapter and introduces the fundamentals of multivariable calculus (multivariable functions, limits and continuity, differentiability, directionalderivatives and expansions of multivariable functions). Illustrative examples, input-output process, optimal recovery of functions and approximations are given; each section lists an ample number of exercises to heighten understanding of the material. Chapter three discusses deterministic/mathematical and optimization models evolving from differential equations, difference equations, algebraic models, power function models, input-output models and pathway models. Fractional integral and derivative models are examined. Chapter four covers non-deterministic/stochastic models. The random walk model, branching process model, birth and death process model, time series models, and regression type models are examined. The fifth chapter covers optimal design. General linear models from a statistical point of view are introduced; the Gauss–Markov theorem, quadratic forms, and generalized inverses of matrices are covered. Pathway, symmetric, and asymmetric models are covered in chapter six, the concepts are illustrated with graphs.
- Published
- 2017
47. Optimal Control: Novel Directions and Applications
- Author
-
Daniela Tonon, Maria Soledad Aronna, Dante Kalise, Daniela Tonon, Maria Soledad Aronna, and Dante Kalise
- Subjects
- Mathematical optimization, Calculus of variations, Mathematical models, System theory, Control theory
- Abstract
Focusing on applications to science and engineering, this book presents the results of the ITN-FP7 SADCO network's innovative research in optimization and control in the following interconnected topics: optimality conditions in optimal control, dynamic programming approaches to optimal feedback synthesis and reachability analysis, and computational developments in model predictive control. The novelty of the book resides in the fact that it has been developed by early career researchers, providing a good balance between clarity and scientific rigor. Each chapter features an introduction addressed to PhD students and some original contributions aimed at specialist researchers. Requiring only a graduate mathematical background, the book is self-contained. It will be of particular interest to graduate and advanced undergraduate students, industrial practitioners and to senior scientists wishing to update their knowledge.
- Published
- 2017
48. Advances in Mathematical Modeling, Optimization and Optimal Control
- Author
-
Jean-Baptiste Hiriart-Urruty, Adam Korytowski, Helmut Maurer, Maciej Szymkat, Jean-Baptiste Hiriart-Urruty, Adam Korytowski, Helmut Maurer, and Maciej Szymkat
- Subjects
- Mathematical optimization, Mathematical models
- Abstract
This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable.The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a firstorder in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.
- Published
- 2016
49. Methods of Mathematical Modelling : Continuous Systems and Differential Equations
- Author
-
Thomas Witelski, Mark Bowen, Thomas Witelski, and Mark Bowen
- Subjects
- Mathematical models
- Abstract
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics.Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems.Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.
- Published
- 2015
50. A Direct Method for Parabolic PDE Constrained Optimization Problems
- Author
-
Andreas Potschka and Andreas Potschka
- Subjects
- Mathematics, Mathematical models
- Abstract
Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.
- Published
- 2014
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