Advanced Courses in Mathematics - CRM Barcelona

Modern Optimization Modelling Techniques

Authors: Cominetti, Roberto, Facchinei, Francisco, Lasserre, Jean B.

  • 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
  • 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.
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eBook $34.99
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  • ISBN 978-3-0348-0291-8
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  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-0348-0290-1
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About this Textbook

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.

Table of contents (12 chapters)

  • Chapter 1 Representation of Positive Polynomials

    Cominetti, Roberto (et al.)

    Pages 7-27

  • Chapter 2 Moments

    Cominetti, Roberto (et al.)

    Pages 29-46

  • Chapter 3 Polynomial Optimization

    Cominetti, Roberto (et al.)

    Pages 47-79

  • Chapter 4 Convexity in Polynomial Optimization

    Cominetti, Roberto (et al.)

    Pages 81-92

  • Chapter 5 Parametric Polynomial Optimization

    Cominetti, Roberto (et al.)

    Pages 93-120

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-0348-0291-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-0348-0290-1
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Modern Optimization Modelling Techniques
Authors
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0291-8
DOI
10.1007/978-3-0348-0291-8
Softcover ISBN
978-3-0348-0290-1
Series ISSN
2297-0304
Edition Number
1
Number of Pages
IX, 269
Topics