Search Results for "principles-of-optimization-theory"

Principles of Optimization Theory

Principles of Optimization Theory

  • Author: C. R. Bector,Suresh Chandra,Jayasri Dutta
  • Publisher: Alpha Science International, Limited
  • ISBN: N.A
  • Category: Mathematics
  • Page: 224
  • View: 8112
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An account of the fundamental principles of optimization theory blended in a judicious way with current research. It helps the reader to probe into such advanced topics like Non-smooth Optimization and Conjugate Duality.

Optimization Theory with Applications

Optimization Theory with Applications

  • Author: Donald A. Pierre
  • Publisher: Courier Corporation
  • ISBN: 0486136957
  • Category: Mathematics
  • Page: 640
  • View: 2048
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Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

Foundations of Optimization

Foundations of Optimization

  • Author: Osman Güler
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387684079
  • Category: Business & Economics
  • Page: 442
  • View: 8616
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This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.

Principles of Optimal Design

Principles of Optimal Design

Modeling and Computation

  • Author: Panos Y. Papalambros,Douglass J. Wilde
  • Publisher: Cambridge University Press
  • ISBN: 1316867455
  • Category: Technology & Engineering
  • Page: N.A
  • View: 2550
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Design optimization is a standard concept in engineering design, and in other disciplines which utilize mathematical decision-making methods. This textbook focuses on the close relationship between a design problem's mathematical model and the solution-driven methods which optimize it. Along with extensive material on modeling problems, this book also features useful techniques for checking whether a model is suitable for computational treatment. Throughout, key concepts are discussed in the context of why and when a particular algorithm may be successful, and a large number of examples demonstrate the theory or method right after it is presented. This book also contains step-by-step instructions for executing a design optimization project - from building the problem statement to interpreting the computer results. All chapters contain exercises from which instructors can easily build quizzes, and a chapter on 'principles and practice' offers the reader tips and guidance based on the authors' vast research and instruction experience.

A First Course in Optimization Theory

A First Course in Optimization Theory

  • Author: Rangarajan K. Sundaram
  • Publisher: Cambridge University Press
  • ISBN: 9780521497701
  • Category: Business & Economics
  • Page: 357
  • View: 7577
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Divided into three separate parts, this book introduces students to optimization theory and its use in economics and allied disciplines. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

Algorithmic Principles of Mathematical Programming

Algorithmic Principles of Mathematical Programming

  • Author: Ulrich Faigle,W. Kern,G. Still
  • Publisher: N.A
  • ISBN: 9789401598972
  • Category:
  • Page: 352
  • View: 8258
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Principles of Optimal Control Theory

Principles of Optimal Control Theory

  • Author: R. Gamkrelidze
  • Publisher: Springer Science & Business Media
  • ISBN: 1468473980
  • Category: Science
  • Page: 175
  • View: 1569
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In the late 1950's, the group of Soviet mathematicians consisting of L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko made fundamental contributions to optimal control theory. Much of their work was collected in their monograph, The Mathematical Theory of Optimal Processes. Subsequently, Professor Gamkrelidze made further important contributions to the theory of necessary conditions for problems of optimal control and general optimization problems. In the present monograph, Professor Gamkrelidze presents his current view of the fundamentals of optimal control theory. It is intended for use in a one-semester graduate course or advanced undergraduate course. We are now making these ideas available in English to all those interested in optimal control theory. West Lafayette, Indiana, USA Leonard D. Berkovitz Translation Editor Vll Preface This book is based on lectures I gave at the Tbilisi State University during the fall of 1974. It contains, in essence, the principles of general control theory and proofs of the maximum principle and basic existence theorems of optimal control theory. Although the proofs of the basic theorems presented here are far from being the shortest, I think they are fully justified from the conceptual view point. In any case, the notions we introduce and the methods developed have one unquestionable advantage -they are constantly used throughout control theory, and not only for the proofs of the theorems presented in this book.

Engineering Optimization

Engineering Optimization

Theory and Practice

  • Author: Singiresu S. Rao,S. S. Rao
  • Publisher: John Wiley & Sons
  • ISBN: 0470183527
  • Category: Mathematics
  • Page: 813
  • View: 3652
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Technology/Engineering/Mechanical Helps you move from theory to optimizing engineering systems in almost any industry Now in its Fourth Edition, Professor Singiresu Rao's acclaimed text Engineering Optimization enables readers to quickly master and apply all the important optimization methods in use today across a broad range of industries. Covering both the latest and classical optimization methods, the text starts off with the basics and then progressively builds to advanced principles and applications. This comprehensive text covers nonlinear, linear, geometric, dynamic, and stochastic programming techniques as well as more specialized methods such as multiobjective, genetic algorithms, simulated annealing, neural networks, particle swarm optimization, ant colony optimization, and fuzzy optimization. Each method is presented in clear, straightforward language, making even the more sophisticated techniques easy to grasp. Moreover, the author provides: Case examples that show how each method is applied to solve real-world problems across a variety of industries Review questions and problems at the end of each chapter to engage readers in applying their newfound skills and knowledge Examples that demonstrate the use of MATLAB® for the solution of different types of practical optimization problems References and bibliography at the end of each chapter for exploring topics in greater depth Answers to Review Questions available on the author's Web site to help readers to test their understanding of the basic concepts With its emphasis on problem-solving and applications, Engineering Optimization is ideal for upper-level undergraduates and graduate students in mechanical, civil, electrical, chemical, and aerospace engineering. In addition, the text helps practicing engineers in almost any industry design improved, more efficient systems at less cost.

Approximation and Optimization of Discrete and Differential Inclusions

Approximation and Optimization of Discrete and Differential Inclusions

  • Author: Elimhan N. Mahmudov
  • Publisher: Elsevier
  • ISBN: 0123884284
  • Category: Mathematics
  • Page: 379
  • View: 3885
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Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones Includes practical examples

Practical Mathematical Optimization

Practical Mathematical Optimization

An Introduction to Basic Optimization Theory and Classical and New Gradient-Based Algorithms

  • Author: Jan Snyman
  • Publisher: Springer Science & Business Media
  • ISBN: 0387243496
  • Category: Mathematics
  • Page: 258
  • View: 3128
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This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Optimization of Tax Sovereignty and Free Movement

Optimization of Tax Sovereignty and Free Movement

  • Author: Sjoerd Douma
  • Publisher: IBFD
  • ISBN: 9087221126
  • Category: Direct taxation
  • Page: 340
  • View: 7133
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The book argues that the notions of tax sovereignty and EU free movement should be regarded as two fundamentally equal principles. The conflict between these two principles is resolved by establishing, in individual cases, the optimum position between two extremes: a general unrestricted freedom of action by states versus a prohibition of any obstacle to the free movement of goods, persons, services and capital. The process of reconciliation of these competing principles is structured by the theoretical optimization model developed in the present study. This model is external to the present case law. The application of the theoretical optimization model to the ECJ’s case law in the area of direct taxation reveals that this case law is largely in line with the model. It is certainly not as internally inconsistent as claimed in some of the tax literature. Many jigsaw pieces seem to fit after all if the case law is assessed in the light of the model. A number of future developments could be expected on the basis of the model and extensive case law analysis. The most important of these is that, in some cases, truly non-discriminatory tax measures should give rise to a prima facie restriction on free movement.

Principles of Mathematics in Operations Research

Principles of Mathematics in Operations Research

  • Author: Levent Kandiller
  • Publisher: Springer Science & Business Media
  • ISBN: 0387377352
  • Category: Mathematics
  • Page: 298
  • View: 5725
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This book is a comprehensive survey of the mathematical concepts and principles of industrial mathematics. Its purpose is to provide students and professionals with an understanding of the fundamental mathematical principles used in Industrial Mathematics/OR in modeling problems and application solutions. All the concepts presented in each chapter have undergone the learning scrutiny of the author and his students. The illustrative material throughout the book was refined for student comprehension as the manuscript developed through its iterations, and the chapter exercises are refined from the previous year's exercises.

Principles of Linear Systems

Principles of Linear Systems

  • Author: Philip E. Sarachik
  • Publisher: Cambridge University Press
  • ISBN: 9780521576062
  • Category: Mathematics
  • Page: 283
  • View: 7919
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Textbook on state-space methods in the analysis of linear multi-input, multi-output dynamic systems.

An Introduction to Optimization

An Introduction to Optimization

  • Author: Edwin K. P. Chong,Stanislaw H. Zak
  • Publisher: John Wiley & Sons
  • ISBN: 1118515153
  • Category: Mathematics
  • Page: 640
  • View: 4365
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Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples are stated very clearly and the results are presented with attention to detail." —MAA Reviews Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. Featuring an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, the Fourth Edition also offers: A new chapter on integer programming Expanded coverage of one-dimensional methods Updated and expanded sections on linear matrix inequalities Numerous new exercises at the end of each chapter MATLAB exercises and drill problems to reinforce the discussed theory and algorithms Numerous diagrams and figures that complement the written presentation of key concepts MATLAB M-files for implementation of the discussed theory and algorithms (available via the book's website) Introduction to Optimization, Fourth Edition is an ideal textbook for courses on optimization theory and methods. In addition, the book is a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

Optimization Tools for Logistics

Optimization Tools for Logistics

  • Author: Jean-Michel Réveillac
  • Publisher: Elsevier
  • ISBN: 0081004826
  • Category: Computers
  • Page: 466
  • View: 6932
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Optimization Tools for Logistics covers the theory and practice of the main principles of operational research and the ways it can be applied to logistics and decision support with regards to common software. The book is supported by worked problems and examples from industrial case studies, providing a comprehensive tool for readers from a variety of industries. Covers simple explanations of the mathematical theories related to logistics Contains many problems and examples from industrial case studies Includes coverage of the use of readily available software; spreadsheets, project managers, flows simulators

Principles of Constraint Programming

Principles of Constraint Programming

  • Author: Krzysztof Apt
  • Publisher: Cambridge University Press
  • ISBN: 1139438700
  • Category: Computers
  • Page: N.A
  • View: 4647
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Constraints are everywhere: most computational problems can be described in terms of restrictions imposed on the set of possible solutions, and constraint programming is a problem-solving technique that works by incorporating those restrictions in a programming environment. It draws on methods from combinatorial optimisation and artificial intelligence, and has been successfully applied in a number of fields from scheduling, computational biology, finance, electrical engineering and operations research through to numerical analysis. This textbook for upper-division students provides a thorough and structured account of the main aspects of constraint programming. The author provides many worked examples that illustrate the usefulness and versatility of this approach to programming, as well as many exercises throughout the book that illustrate techniques, test skills and extend the text. Pointers to current research, extensive historical and bibliographic notes, and a comprehensive list of references will also be valuable to professionals in computer science and artificial intelligence.

Handbook of Life-Span Development

Handbook of Life-Span Development

  • Author: Karen L. Fingerman
  • Publisher: Springer Publishing Company
  • ISBN: 0826110797
  • Category: Medical
  • Page: 905
  • View: 3895
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Optimization by Vector Space Methods

Optimization by Vector Space Methods

  • Author: David G. Luenberger
  • Publisher: John Wiley & Sons
  • ISBN: 9780471181170
  • Category: Mathematics
  • Page: 326
  • View: 2491
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Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.

Optimization in Economic Theory

Optimization in Economic Theory

  • Author: Avinash K. Dixit
  • Publisher: Oxford University Press on Demand
  • ISBN: 9780198772101
  • Category: Business & Economics
  • Page: 188
  • View: 2776
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Building on a base of simple economic theory and elementary linear algebra and calculus, this broad treatment of static and dynamic optimization methods discusses the importance of shadow prices, and reviews functions defined by solutions of optimization problems. Recently revised and expanded, the second edition will be a valuable resource for upper level undergraduate and graduate students.

Pricing and Revenue Optimization

Pricing and Revenue Optimization

  • Author: Robert Phillips
  • Publisher: Stanford University Press
  • ISBN: 0804781648
  • Category: Business & Economics
  • Page: 368
  • View: 7788
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This is the first comprehensive introduction to the concepts, theories, and applications of pricing and revenue optimization. From the initial success of "yield management" in the commercial airline industry down to more recent successes of markdown management and dynamic pricing, the application of mathematical analysis to optimize pricing has become increasingly important across many different industries. But, since pricing and revenue optimization has involved the use of sophisticated mathematical techniques, the topic has remained largely inaccessible to students and the typical manager. With methods proven in the MBA courses taught by the author at Columbia and Stanford Business Schools, this book presents the basic concepts of pricing and revenue optimization in a form accessible to MBA students, MS students, and advanced undergraduates. In addition, managers will find the practical approach to the issue of pricing and revenue optimization invaluable. Solutions to the end-of-chapter exercises are available to instructors who are using this book in their courses. For access to the solutions manual, please contact [email protected]