Advances In Sensitivity Analysis And Parametric Programming

Author : Tomas Gal,H.J. Greenberg
Publisher : Springer Science & Business Media
Page : 595 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461561033

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Advances in Sensitivity Analysis and Parametric Programming by Tomas Gal,H.J. Greenberg Pdf

The standard view of Operations Research/Management Science (OR/MS) dichotomizes the field into deterministic and probabilistic (nondeterministic, stochastic) subfields. This division can be seen by reading the contents page of just about any OR/MS textbook. The mathematical models that help to define OR/MS are usually presented in terms of one subfield or the other. This separation comes about somewhat artificially: academic courses are conveniently subdivided with respect to prerequisites; an initial overview of OR/MS can be presented without requiring knowledge of probability and statistics; text books are conveniently divided into two related semester courses, with deterministic models coming first; academics tend to specialize in one subfield or the other; and practitioners also tend to be expert in a single subfield. But, no matter who is involved in an OR/MS modeling situation (deterministic or probabilistic - academic or practitioner), it is clear that a proper and correct treatment of any problem situation is accomplished only when the analysis cuts across this dichotomy.

Author : Tomas Gal
Publisher : Walter de Gruyter
Page : 465 pages
File Size : 55,5 Mb
Release : 2010-09-03
Category : Computers
ISBN : 9783110871203

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Postoptimal Analyses, Parametric Programming, and Related Topics by Tomas Gal Pdf

Postoptimal Analyses, Parametric Programming, and Related Topics: Degeneracy, Multicriteria Decision Making Redundancy.

Author : David G. Luenberger,Yinyu Ye
Publisher : Springer Science & Business Media
Page : 550 pages
File Size : 43,8 Mb
Release : 2008-07-07
Category : Business & Economics
ISBN : 9780387745022

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Linear and Nonlinear Programming by David G. Luenberger,Yinyu Ye Pdf

This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California’s Stanford University, who has written lots of extra material including some on Interior Point Methods.

Author : Anthony V. Fiacco
Publisher : North Holland
Page : 252 pages
File Size : 48,9 Mb
Release : 1984
Category : Mathematics
ISBN : UCAL:B4405822

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Sensitivity, Stability, and Parametric Analysis by Anthony V. Fiacco Pdf

Author : Vassilis M. Charitopoulos
Publisher : Springer Nature
Page : 285 pages
File Size : 49,6 Mb
Release : 2020-02-05
Category : Science
ISBN : 9783030381370

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Uncertainty-aware Integration of Control with Process Operations and Multi-parametric Programming Under Global Uncertainty by Vassilis M. Charitopoulos Pdf

This book introduces models and methodologies that can be employed towards making the Industry 4.0 vision a reality within the process industries, and at the same time investigates the impact of uncertainties in such highly integrated settings. Advances in computing power along with the widespread availability of data have led process industries to consider a new paradigm for automated and more efficient operations. The book presents a theoretically proven optimal solution to multi-parametric linear and mixed-integer linear programs and efficient solutions to problems such as process scheduling and design under global uncertainty. It also proposes a systematic framework for the uncertainty-aware integration of planning, scheduling and control, based on the judicious coupling of reactive and proactive methods. Using these developments, the book demonstrates how the integration of different decision-making layers and their simultaneous optimisation can enhance industrial process operations and their economic resilience in the face of uncertainty.

Author : Wang, John
Publisher : IGI Global
Page : 462 pages
File Size : 44,6 Mb
Release : 2013-02-28
Category : Business & Economics
ISBN : 9781466629264

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Optimizing, Innovating, and Capitalizing on Information Systems for Operations by Wang, John Pdf

Adapting the development of information systems for operations management is essential for the effectiveness of an organization’s business strategy. Optimizing, Innovating, and Capitalizing on Information Systems for Operations presents research on the applications of information systems and its influence on business and operations management. Highlighting case studies, frameworks and methodologies, this book aims to be useful for practitioners and academics in the fields of decision, management, and social sciences.

Author : A. G. Holder
Publisher : Unknown
Page : 23 pages
File Size : 42,9 Mb
Release : 1997
Category : Electronic
ISBN : OCLC:1064062235

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Analytic Central Path, Sensitivity Analysis and Parametric Linear Programming by A. G. Holder Pdf

Author : Styliani Avraamidou,Efstratios Pistikopoulos
Publisher : Walter de Gruyter GmbH & Co KG
Page : 139 pages
File Size : 46,5 Mb
Release : 2022-06-06
Category : Technology & Engineering
ISBN : 9783110760385

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Multi-level Mixed-Integer Optimization by Styliani Avraamidou,Efstratios Pistikopoulos Pdf

This book provides the fundamental underlying mathematical theory, numerical algorithms and effi cient computational tools for the solution of multi-level mixedinteger optimization problems. It can enable a vast array of decision makers and engineers (e.g. process engineers, bioengineers, chemical and civil engineers, and economists) to model, formulate and solve hierarchical decision making problems. The book gives detailed insights on multi-level optimization by comprehensive explanations, step-by-step numerical examples and case studies, plots, and diagrams.

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 49,6 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583

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Encyclopedia of Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Author : S. Zlobec
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 41,8 Mb
Release : 2013-11-21
Category : Business & Economics
ISBN : 9781461500117

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Stable Parametric Programming by S. Zlobec Pdf

Optimality and stability are two important notions in applied mathematics. This book is a study of these notions and their relationship in linear and convex parametric programming models. It begins with a survey of basic optimality conditions in nonlinear programming. Then new results in convex programming, using LFS functions, for single-objective, multi-objective, differentiable and non-smooth programs are introduced. Parametric programming models are studied using basic tools of point-to-set topology. Stability of the models is introduced, essentially, as continuity of the feasible set of decision variables under continuous perturbations of the parameters. Perturbations that preserve this continuity are regions of stability. It is shown how these regions can be identified. The main results on stability are characterizations of locally and globally optimal parameters for stable and also for unstable perturbations. The results are straightened for linear models and bi-level programs. Some of the results are extended to abstract spaces after considering parameters as `controls'. Illustrations from diverse fields, such as data envelopment analysis, management, von Stackelberg games of market economy, and navigation problems are given and several case studies are solved by finding optimal parameters. The book has been written in an analytic spirit. Many results appear here for the first time in book form. Audience: The book is written at the level of a first-year graduate course in optimization for students with varied backgrounds interested in modeling of real-life problems. It is expected that the reader has been exposed to a prior elementary course in optimization, such as linear or non-linear programming. The last section of the book requires some knowledge of functional analysis.

Author : Efstratios N. Pistikopoulos,Nikolaos A. Diangelakis,Richard Oberdieck
Publisher : John Wiley & Sons
Page : 320 pages
File Size : 45,5 Mb
Release : 2020-11-02
Category : Mathematics
ISBN : 9781119265153

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Multi-parametric Optimization and Control by Efstratios N. Pistikopoulos,Nikolaos A. Diangelakis,Richard Oberdieck Pdf

Recent developments in multi-parametric optimization and control Multi-Parametric Optimization and Control provides comprehensive coverage of recent methodological developments for optimal model-based control through parametric optimization. It also shares real-world research applications to support deeper understanding of the material. Researchers and practitioners can use the book as reference. It is also suitable as a primary or a supplementary textbook. Each chapter looks at the theories related to a topic along with a relevant case study. Topic complexity increases gradually as readers progress through the chapters. The first part of the book presents an overview of the state-of-the-art multi-parametric optimization theory and algorithms in multi-parametric programming. The second examines the connection between multi-parametric programming and model-predictive control—from the linear quadratic regulator over hybrid systems to periodic systems and robust control. The third part of the book addresses multi-parametric optimization in process systems engineering. A step-by-step procedure is introduced for embedding the programming within the system engineering, which leads the reader into the topic of the PAROC framework and software platform. PAROC is an integrated framework and platform for the optimization and advanced model-based control of process systems. Uses case studies to illustrate real-world applications for a better understanding of the concepts presented Covers the fundamentals of optimization and model predictive control Provides information on key topics, such as the basic sensitivity theorem, linear programming, quadratic programming, mixed-integer linear programming, optimal control of continuous systems, and multi-parametric optimal control An appendix summarizes the history of multi-parametric optimization algorithms. It also covers the use of the parametric optimization toolbox (POP), which is comprehensive software for efficiently solving multi-parametric programming problems.

Author : Valeriu Ungureanu
Publisher : Springer
Page : 343 pages
File Size : 49,6 Mb
Release : 2018-03-09
Category : Technology & Engineering
ISBN : 9783319751511

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Pareto-Nash-Stackelberg Game and Control Theory by Valeriu Ungureanu Pdf

This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.

Author : Teofilo F. Gonzalez
Publisher : CRC Press
Page : 840 pages
File Size : 54,7 Mb
Release : 2018-05-15
Category : Computers
ISBN : 9781351236409

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Handbook of Approximation Algorithms and Metaheuristics by Teofilo F. Gonzalez Pdf

Handbook of Approximation Algorithms and Metaheuristics, Second Edition reflects the tremendous growth in the field, over the past two decades. Through contributions from leading experts, this handbook provides a comprehensive introduction to the underlying theory and methodologies, as well as the various applications of approximation algorithms and metaheuristics. Volume 1 of this two-volume set deals primarily with methodologies and traditional applications. It includes restriction, relaxation, local ratio, approximation schemes, randomization, tabu search, evolutionary computation, local search, neural networks, and other metaheuristics. It also explores multi-objective optimization, reoptimization, sensitivity analysis, and stability. Traditional applications covered include: bin packing, multi-dimensional packing, Steiner trees, traveling salesperson, scheduling, and related problems. Volume 2 focuses on the contemporary and emerging applications of methodologies to problems in combinatorial optimization, computational geometry and graphs problems, as well as in large-scale and emerging application areas. It includes approximation algorithms and heuristics for clustering, networks (sensor and wireless), communication, bioinformatics search, streams, virtual communities, and more. About the Editor Teofilo F. Gonzalez is a professor emeritus of computer science at the University of California, Santa Barbara. He completed his Ph.D. in 1975 from the University of Minnesota. He taught at the University of Oklahoma, the Pennsylvania State University, and the University of Texas at Dallas, before joining the UCSB computer science faculty in 1984. He spent sabbatical leaves at the Monterrey Institute of Technology and Higher Education and Utrecht University. He is known for his highly cited pioneering research in the hardness of approximation; for his sublinear and best possible approximation algorithm for k-tMM clustering; for introducing the open-shop scheduling problem as well as algorithms for its solution that have found applications in numerous research areas; as well as for his research on problems in the areas of job scheduling, graph algorithms, computational geometry, message communication, wire routing, etc.

Author : Beniamino Murgante,Osvaldo Gervasi,Andres Iglesias,David Taniar,Bernady O. Apduhan
Publisher : Springer
Page : 700 pages
File Size : 46,6 Mb
Release : 2011-06-17
Category : Computers
ISBN : 9783642219313

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Computational Science and Its Applications - ICCSA 2011 by Beniamino Murgante,Osvaldo Gervasi,Andres Iglesias,David Taniar,Bernady O. Apduhan Pdf

The five-volume set LNCS 6782 - 6786 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2011, held in Santander, Spain, in June 2011. The five volumes contain papers presenting a wealth of original research results in the field of computational science, from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The topics of the fully refereed papers are structured according to the five major conference themes: geographical analysis, urban modeling, spatial statistics; cities, technologies and planning; computational geometry and applications; computer aided modeling, simulation, and analysis; and mobile communications.

Author : Konstantin E. Avrachenkov,Jerzy A. Filar,Phil G. Howlett
Publisher : SIAM
Page : 372 pages
File Size : 47,8 Mb
Release : 2013-12-11
Category : Perturbation (Mathematics)
ISBN : 9781611973143

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Analytic Perturbation Theory and Its Applications by Konstantin E. Avrachenkov,Jerzy A. Filar,Phil G. Howlett Pdf

Mathematical models are often used to describe complex phenomena such as climate change dynamics, stock market fluctuations, and the Internet. These models typically depend on estimated values of key parameters that determine system behavior. Hence it is important to know what happens when these values are changed. The study of single-parameter deviations provides a natural starting point for this analysis in many special settings in the sciences, engineering, and economics. The difference between the actual and nominal values of the perturbation parameter is small but unknown, and it is important to understand the asymptotic behavior of the system as the perturbation tends to zero. This is particularly true in applications with an apparent discontinuity in the limiting behavior?the so-called singularly perturbed problems. Analytic Perturbation Theory and Its Applications includes a comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses and generalized inverses. It also offers original applications in Markov chains, Markov decision processes, optimization, and applications to Google PageRank? and the Hamiltonian cycle problem as well as input retrieval in linear control systems and a problem section in every chapter to aid in course preparation.