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＜電子ブック＞
Modern Optimization Modelling Techniques / by Roberto Cominetti, Francisco Facchinei, Jean B. Lasserre
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)

版	1st ed. 2012.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2012
本文言語	英語
大きさ	IX, 269 p : online resource
著者標目	*Cominetti, Roberto author Facchinei, Francisco author Lasserre, Jean B author SpringerLink (Online service)
件　名	LCSH:Operations research LCSH:Management science LCSH:Game theory FREE:Operations Research, Management Science FREE:Game Theory
一般注記	Part I: Moments and Positive Polynomials for Optimization by Jean B. Lasserre -- Part II: Computation of Generalized Nash Equilibria: Recent Advancements by Francisco Facchinei -- Part III: Equilibrium and Learning in Traffic Networks by Roberto Cominetti This book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. 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 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 HTTP:URL=https://doi.org/10.1007/978-3-0348-0291-8

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