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Stochastic Adaptive Search for Global Optimization / by Zelda B. Zabinsky
(Nonconvex Optimization and Its Applications ; 72)

データ種別 電子ブック
出版者 Boston, MA : Springer US : Imprint: Springer
出版年 2003
本文言語 英語
大きさ XVIII, 224 p : online resource

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URL 電子ブック


EB0060257

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一般注記 The field of global optimization has been developing at a rapid pace. There is a journal devoted to the topic, as well as many publications and notable books discussing various aspects of global optimization. This book is intended to complement these other publications with a focus on stochastic methods for global optimization. Stochastic methods, such as simulated annealing and genetic algo­ rithms, are gaining in popularity among practitioners and engineers be­ they are relatively easy to program on a computer and may be cause applied to a broad class of global optimization problems. However, the theoretical performance of these stochastic methods is not well under­ stood. In this book, an attempt is made to describe the theoretical prop­ erties of several stochastic adaptive search methods. Such a theoretical understanding may allow us to better predict algorithm performance and ultimately design new and improved algorithms. This book consolidates a collection of papers on the analysis and de­ velopment of stochastic adaptive search. The first chapter introduces random search algorithms. Chapters 2-5 describe the theoretical anal­ ysis of a progression of algorithms. A main result is that the expected number of iterations for pure adaptive search is linear in dimension for a class of Lipschitz global optimization problems. Chapter 6 discusses algorithms, based on the Hit-and-Run sampling method, that have been developed to approximate the ideal performance of pure random search. The final chapter discusses several applications in engineering that use stochastic adaptive search methods
著者標目 *Zabinsky, Zelda B. author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Computers
LCSH:Mathematical optimization
LCSH:Calculus of variations
LCSH:Combinatorics
FREE:Mathematics
FREE:Optimization
FREE:Calculus of Variations and Optimal Control; Optimization
FREE:Theory of Computation
FREE:Combinatorics
分 類 DC23:519.6
巻冊次 ISBN:9781441991829 REFWLINK
ISBN 9781441991829
URL http://dx.doi.org/10.1007/978-1-4419-9182-9
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