Modern Optimization Modelling Techniques

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, st...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cominetti, Roberto (Autor), Facchinei, Francisco (Autor), Lasserre, Jean B. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
Edición:1st ed. 2012.
Colección:Advanced Courses in Mathematics - CRM Barcelona,
Temas:
Operations research.
Management science.
Game theory.
Operations Research, Management Science .
Game Theory.
Acceso en línea:Texto Completo

MARC

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505 0 |a 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. 
520 |a 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. 
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650 0 |a Management science. 
650 0 |a Game theory. 
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