Modern Optimization Modelling Techniques [electronic resource] / by Roberto Cominetti, Francisco Facchinei, Jean B. Lasserre.

By:

Cominetti, Roberto [author.]

Contributor(s):

Material type: Text

TextSeries: Advanced Courses in Mathematics - CRM BarcelonaPublisher: Basel : Springer Basel : Imprint: Birkhäuser, 2012Description: IX, 269 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783034802918

Subject(s):

Additional physical formats: Printed edition:: No titleDDC classification:

519.6 23

LOC classification:

QA402-402.37
T57.6-57.97

Online resources:

Click here to access online

Contents:

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.

In: Springer eBooksSummary: 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.

Holdings ( 1 )
Title notes ( 2 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	EBook		Available

Total holds: 0

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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