Overview
- Presents powerful techniques for solving global optimization problems
- Shows simple ways to deal with optimization problems involving proper nonlinear manifolds
- Discusses in detail applications to real-world problems
- Offers an overview of current metaheuristics paradigms
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 43)
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Table of contents (8 chapters)
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Front Matter
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Introductory Information
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Front Matter
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Global Optimization on Manifolds
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Front Matter
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Further Applications of Fuzzy ASA
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Front Matter
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Back Matter
Keywords
About this book
This book presents powerful techniques for solving global optimization problems on manifolds by means of evolutionary algorithms, and shows in practice how these techniques can be applied to solve real-world problems. It describes recent findings and well-known key facts in general and differential topology, revisiting them all in the context of application to current optimization problems. Special emphasis is put on game theory problems. Here, these problems are reformulated as constrained global optimization tasks and solved with the help of Fuzzy ASA. In addition, more abstract examples, including minimizations of well-known functions, are also included. Although the Fuzzy ASA approach has been chosen as the main optimizing paradigm, the book suggests that other metaheuristic methods could be used as well. Some of them are introduced, together with their advantages and disadvantages.
Readers should possess some knowledge of linear algebra, and of basic concepts ofnumerical analysis and probability theory. Many necessary definitions and fundamental results are provided, with the formal mathematical requirements limited to a minimum, while the focus is kept firmly on continuous problems. The book offers a valuable resource for students, researchers and practitioners. It is suitable for university courses on optimization and for self-study.
Authors and Affiliations
Bibliographic Information
Book Title: Evolutionary Global Optimization, Manifolds and Applications
Authors: Hime Aguiar e Oliveira Junior
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-26467-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-26466-0Published: 16 December 2015
Softcover ISBN: 978-3-319-79958-2Published: 30 March 2019
eBook ISBN: 978-3-319-26467-7Published: 09 December 2015
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XIII, 137
Number of Illustrations: 17 b/w illustrations, 26 illustrations in colour
Topics: Computational Intelligence, Economic Theory/Quantitative Economics/Mathematical Methods, Continuous Optimization, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences