Optimization Theory with Applications

Optimization Theory with Applications

Author: Donald A. Pierre

Publisher: Courier Corporation

Published: 2012-07-12

Total Pages: 644

ISBN-13: 0486136957

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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.


Optimization Principles

Optimization Principles

Author: Narayan S. Rau

Publisher: John Wiley & Sons

Published: 2003-09-22

Total Pages: 364

ISBN-13: 9780471451303

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Today's need-to-know optimization techniques, at your fingertips The use of optimization methods is familiar territory to academicians and researchers. Yet, in today's world of deregulated electricity markets, it's just as important for electric power professionals to have a solid grasp of these increasingly relied upon techniques. Making those techniques readily accessible is the hallmark of Optimization Principles: Practical Applications to the Operation and Markets of the Electric Power Industry. With deregulation, market rules and economic principles dictate that commodities be priced at the marginal value of their production. As a result, it's necessary to work with ever-more-sophisticated algorithms using optimization techniques-either for the optimal dispatch of the system itself, or for pricing commodities and the settlement of markets. Succeeding in this new environment takes a good understanding of methods that involve linear and nonlinear optimization, including optimal power flow, locational marginal prices for energy, and the auction of hedging instruments. In its comprehensive, skill-building overview of optimization techniques, Optimization Principles puts you on the same footing with algorithm-savvy software developers. Starting with a helpful look at matrix algebra fundamentals, this just-in-time reference covers: * Deregulated electricity markets: terminology and acronyms * Solution of equations, inequalities, and linear programs * Unconstrained and constrained nonlinear optimization * Applications to practical problems addressing system dispatch, market design, and material procurement * And related topics As an aid to the uninitiated, appendices provide a brief description of basic principles of electricity, and the development of network equations. Optimization Principles allows you to learn optimization methods at your own pace using Microsoft Excel or MATLAB software, and it includes an FTP web site with downloadable Excel spreadsheets and problems. After mastering these practical applications, you can then refer to chapters that highlight the theoretical background of the algorithms and resulting solutions. The book also includes a Web site with downloadable files of all example problems and solved problems. Ideal for engineers, other electric power professionals, and advanced engineering students, Optimization Principles demystifies the electric power industry under deregulation-and delivers a complete, learn-as-you-go tutorial of optimization techniques that no other resource can match.


Manufacturing Engineering: Principles For Optimization

Manufacturing Engineering: Principles For Optimization

Author: Daniel T. Koenig

Publisher: CRC Press

Published: 1994-08-01

Total Pages: 444

ISBN-13: 9781560323013

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Offers instruction in manufacturing engineering management strategies to help the student optimize future manufacturing processes and procedures. This edition includes innovations that have changed management's approach toward the uses of manufacturing engineering within the business continuum.


Multiobjective Optimization

Multiobjective Optimization

Author: Yann Collette

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 290

ISBN-13: 3662088835

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This text offers many multiobjective optimization methods accompanied by analytical examples, and it treats problems not only in engineering but also operations research and management. It explains how to choose the best method to solve a problem and uses three primary application examples: optimization of the numerical simulation of an industrial process; sizing of a telecommunication network; and decision-aid tools for the sorting of bids.


Fundamentals of Optimization

Fundamentals of Optimization

Author: Mark French

Publisher: Springer

Published: 2018-05-02

Total Pages: 255

ISBN-13: 3319761927

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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.


Entropy and Energy Dissipation in Water Resources

Entropy and Energy Dissipation in Water Resources

Author: V.P. Singh

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 583

ISBN-13: 9401124302

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Since the landmark contributions of C. E. Shannon in 1948, and those of E. T. Jaynes about a decade later, applications of the concept of entropy and the principle of maximum entropy have proliterated in science and engineering. Recent years have witnessed a broad range of new and exciting developments in hydrology and water resources using the entropy concept. These have encompassed innovative methods for hydrologic network design, transfer of information, flow forecasting, reliability assessment for water distribution systems, parameter estimation, derivation of probability distributions, drainage-network analysis, sediment yield modeling and pollutant loading, bridge-scour analysis, construction of velocity profiles, comparative evaluation of hydrologic models, and so on. Some of these methods hold great promise for advancement of engineering practice, permitting rational alternatives to conventional approaches. On the other hand, the concepts of energy and energy dissipation are being increasingly applied to a wide spectrum of problems in environmental and water resources. Both entropy and energy dissipation have their origin in thermodynamics, and are related concepts. Yet, many of the developments using entropy seem to be based entirely on statistical interpretation and have seemingly little physical content. For example, most of the entropy-related developments and applications in water resources have been based on the information-theoretic interpretation of entropy. We believe if the power of the entropy concept is to be fully realized, then its physical basis has to be established.


Principles of Optimal Control Theory

Principles of Optimal Control Theory

Author: R. Gamkrelidze

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 180

ISBN-13: 1468473980

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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.


Principles of Optimization Theory

Principles of Optimization Theory

Author: C. R. Bector

Publisher: Alpha Science International, Limited

Published: 2005

Total Pages: 250

ISBN-13:

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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.


Entropy Optimization Principles with Applications

Entropy Optimization Principles with Applications

Author: Jagat Narain Kapur

Publisher:

Published: 1992

Total Pages: 440

ISBN-13:

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This senior-level textbook on entropy provides a conceptual framework for the study of probabilistic systems with its elucidation of three key concepts - Shannon's information theory, Jaynes' maximum entropy principle and Kullback's minimum cross-entropy principle.