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: 1854
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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: 3960
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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: 3628
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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.

Algorithmic Principles of Mathematical Programming

Algorithmic Principles of Mathematical Programming

  • Author: Ulrich Faigle,W. Kern,Georg Still
  • Publisher: Springer Science & Business Media
  • ISBN: 9401598967
  • Category: Mathematics
  • Page: 339
  • View: 3410
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Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature.

Fundamentals of Optimization

Fundamentals of Optimization

Methods, Minimum Principles, and Applications for Making Things Better

  • Author: Mark French
  • Publisher: Springer
  • ISBN: 3319761927
  • Category: Technology & Engineering
  • Page: 249
  • View: 5446
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This textbook is for readers new or returning to the practice of optimization whose interest in the subject may relate to a wide range of products and processes. Rooted in the idea of “minimum principles,” the book introduces the reader to the analytical tools needed to apply optimization practices to an array of single- and multi-variable problems. While comprehensive and rigorous, the treatment requires no more than a basic understanding of technical math and how to display mathematical results visually. It presents a group of simple, robust methods and illustrates their use in clearly-defined examples. Distinct from the majority of optimization books on the market intended for a mathematically sophisticated audience who might want to develop their own new methods of optimization or do research in the field, this volume fills the void in instructional material for those who need to understand the basic ideas. The text emerged from a set of applications-driven lecture notes used in optimization courses the author has taught for over 25 years. The book is class-tested and refined based on student feedback, devoid of unnecessary abstraction, and ideal for students and practitioners from across the spectrum of engineering disciplines. It provides context through practical examples and sections describing commercial application of optimization ideas, such as how containerized freight and changing sea routes have been used to continually reduce the cost of moving freight across oceans. It also features 2D and 3D plots and an appendix illustrating the most widely used MATLAB optimization functions.

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: 4203
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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.

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: 753
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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 Optimal Design

Principles of Optimal Design

Modeling and Computation

  • Author: Panos Y. Papalambros,Douglass J. Wilde
  • Publisher: Cambridge University Press
  • ISBN: 9780521627276
  • Category: Mathematics
  • Page: 390
  • View: 6599
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Thorough, practical coverage of latest development in optimization theory and practice.

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: 6066
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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.

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: 5042
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Principles of Sequencing and Scheduling

Principles of Sequencing and Scheduling

  • Author: Kenneth R. Baker,Dan Trietsch
  • Publisher: Wiley
  • ISBN: 1119262569
  • Category: Business & Economics
  • Page: 656
  • View: 9376
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An updated edition of the text that explores the core topics in scheduling theory The second edition of Principles of Sequencing and Scheduling has been revised and updated to provide comprehensive coverage of sequencing and scheduling topics as well as emerging developments in the field. The text offers balanced coverage of deterministic models and stochastic models and includes new developments in safe scheduling and project scheduling, including coverage of project analytics. These new topics help bridge the gap between classical scheduling and actual practice. The authors—noted experts in the field—present a coherent and detailed introduction to the basic models, problems, and methods of scheduling theory. This book offers an introduction and overview of sequencing and scheduling and covers such topics as single-machine and multi-machine models, deterministic and stochastic problem formulations, optimization and heuristic solution approaches, and generic and specialized software methods. This new edition adds coverage on topics of recent interest in shop scheduling and project scheduling. This important resource: Offers comprehensive coverage of deterministic models as well as recent approaches and developments for stochastic models Emphasizes the application of generic optimization software to basic sequencing problems and the use of spreadsheet-based optimization methods Includes updated coverage on safe scheduling, lognormal modeling, and job selection Provides basic coverage of robust scheduling as contrasted with safe scheduling Adds a new chapter on project analytics, which supports the PERT21 framework for project scheduling in a stochastic environment. Extends the coverage of PERT 21 to include hierarchical scheduling Provides end-of-chapter references and access to advanced Research Notes, to aid readers in the further exploration of advanced topics Written for upper-undergraduate and graduate level courses covering such topics as scheduling theory and applications, project scheduling, and operations scheduling, the second edition of Principles of Sequencing and Scheduling is a resource that covers scheduling techniques and contains the most current research and emerging topics.

Principles of Optimal Design

Principles of Optimal Design

Modeling and Computation

  • Author: Panos Y. Papalambros,Douglass J. Wilde
  • Publisher: Cambridge University Press
  • ISBN: 9780521627276
  • Category: Mathematics
  • Page: 390
  • View: 1033
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Thorough, practical coverage of latest development in optimization theory and practice.

Pricing and Revenue Optimization

Pricing and Revenue Optimization

  • Author: Robert Phillips
  • Publisher: Stanford University Press
  • ISBN: 0804781648
  • Category: Business & Economics
  • Page: 368
  • View: 3092
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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]

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: 5354
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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.

Classical Control Using H-Infinity Methods

Classical Control Using H-Infinity Methods

Theory, Optimization, and Design

  • Author: J. William Helton,Orlando Merino
  • Publisher: SIAM
  • ISBN: 9781611971361
  • Category: H [infinity symbol] control
  • Page: 292
  • View: 325
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This versatile book teaches control system design using Hînfty techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. The development of Hînfty engineering was one of the main accomplishments of control in the 1980s. However, until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using Hînfty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections. The authors treat control design problems in a physically correct way. They present a small set of specific rules that the reader can apply to convert a particular design problem to the fundamental optimization problem of Hînfty control. This precisely formulated mathematics problem can then be solved on a computer. The book introduces the control software package OPTDesign, which allows the reader to easily reproduce the calculations done in the solved examples and even try variations on them. The description of how to convert an engineering problem to a form suitable for CAD is simpler than in other books.

Optimization

Optimization

A Theory of Necessary Conditions

  • Author: Lucien W. Neustadt
  • Publisher: Princeton University Press
  • ISBN: 1400870534
  • Category: Technology & Engineering
  • Page: 440
  • View: 7577
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This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized "inequality" constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiability-continuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between "local" and "global" maximum principles. Originally published in 1977. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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: 1517
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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.

Principles of Constraint Programming

Principles of Constraint Programming

  • Author: Krzysztof Apt
  • Publisher: Cambridge University Press
  • ISBN: 1139438700
  • Category: Computers
  • Page: N.A
  • View: 5599
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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.

Theory of Legal Principles

Theory of Legal Principles

  • Author: Humberto Avila
  • Publisher: Springer Science & Business Media
  • ISBN: 1402058799
  • Category: Law
  • Page: 154
  • View: 8892
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This book examines the distinction between principles and rules so that they can be better understood and applied. It structures the distinction between principles and rules on different foundations than those jurisprudence ordinarily employs. It also proposes a new model to explain the normative species, which includes structured weighing on the application process while encompassing substantive criteria of justice in its argument.

Doubting Darwin?

Doubting Darwin?

Creationist Designs on Evolution

  • Author: Sahotra Sakar
  • Publisher: John Wiley & Sons
  • ISBN: 1405181508
  • Category: Philosophy
  • Page: 232
  • View: 2740
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Noted biologist and philosopher Sahotra Sarkar exposes the frauds and fallacies of Intelligent Design Theory, and its claim to be ‘good science’. A scientific and philosophical exploration of the debate between evolutionary theory and Intelligent Design in the classroom Puts the debate into its scientific and historical context Looks at a variety of topics, including the relation between Darwinism and modern evolutionary theory, the use of computer science and information theory by the creationists, and the idea of metaphysical naturalism Rejects Intelligent Design’s claim to legitimacy, showing clearly how and why it is an unsuitable alternative to evolutionary biology in the classroom A thought-provoking book for those seeking to understand an intellectual debate that is shaping our education policies Forms part of the provocative and timely Blackwell Public Philosophy series