Overview
- Most of the material covered in the book concerns results that so far were only available as articles in specialized journals
- Provides a comprehensive overview of the recent developments and makes them accessible to a wider audience, including graduate students and researchers interested in the broad field of optimization
- Applications of much practical relevance to illustrate the theory
- Numerous results and examples highlight the close connection of optimization theory with other related fields such as dynamical systems, equilibrium theory, stochastic modeling, game theory, etc.
- Includes supplementary material: sn.pub/extras
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents (12 chapters)
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Front Matter
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Moments and Positive Polynomials for Optimization
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Front Matter
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Back Matter
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Computation of Generalized Nash Equilibria: Recent Advancements
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Front Matter
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Back Matter
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Equilibrium and Learning in Traffic Networks
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Front Matter
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Back Matter
Keywords
About this book
The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on display this versatility, by exhibiting the three parallel and complementary components of optimization: theory, algorithms, and practical problems.
The book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. The first part is a self-contained course on the general moment problem and its relations with semidefinite programming. The second part is dedicated to the problem of determination of Nash equilibria from an algorithmic viewpoint. The last part presents congestion models for traffic networks and develops modern optimization techniques for finding traffic equilibria based on stochastic optimization and game theory.
Authors and Affiliations
Bibliographic Information
Book Title: Modern Optimization Modelling Techniques
Authors: Roberto Cominetti, Francisco Facchinei, Jean B. Lasserre
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/978-3-0348-0291-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2012
Softcover ISBN: 978-3-0348-0290-1Published: 28 August 2012
eBook ISBN: 978-3-0348-0291-8Published: 28 August 2012
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: IX, 269
Topics: Operations Research, Management Science, Game Theory, Economics, Social and Behav. Sciences