Optimisation combinatoire: Theorie et algorithmes / Edition 1

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More About This Textbook


Cet ouvrage décrit de manière détaillée les résultats théoriques et les algorithmes efficaces de l’optimisation combinatoire. Il présente des démonstrations concises mais complètes de nombreux résultats dont certains n’avaient jamais été expose's auparavant.

De la théorie des graphes à la programmation linéaire, des problèmes de mariage aux théories des matroïdes et de la complexité, le propos couvre l’ensemble des thématiques classiques et contemporaines de ce champ qui compte parmi les plus actifs des mathématiques discrètes.

Cette traduction française de la quatrième édition anglaise (la plus récente à la date de publication) intègre les dernières corrections des auteurs ainsi que des développements récents sur de nombreux sujets.

Véritable référence de l’optimisation combinatoire, ce livre s’adresse principalement aux étudiants en mathématiques et en informatique des 2e et 3e cycles universitaires, ainsi qu’aux ingénieurs et aux chercheurs confronte's à des problèmes d’optimisation.

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Product Details

  • ISBN-13: 9782287990366
  • Publisher: Springer Paris
  • Publication date: 12/11/2009
  • Language: French
  • Series: Collection IRIS Series
  • Edition description: 2010
  • Edition number: 1
  • Pages: 664
  • Product dimensions: 6.10 (w) x 9.10 (h) x 1.30 (d)

Table of Contents

Graphes.- Programmation linéaire.- Algorithmes de programmation linéaire.- Programmation en nombres entiers.- Arbres couvrants et arborescences.- Plus courts chemins.- Flots dans les réseaux.- Flots de coût minimum.- Couplage maximum.- Couplage avec poids.- b-couplages et T-joints.- Matroïdes.- Généralisations des matroïdes.- NP-complétude.- Algorithmes d’approximation.- Le probléme du sac á dos.- Le probléme du bin-packing.- Multiflots et chaînes arête-disjointes.- Problémes de conception de réseaux.- Le probléme du voyageur de commerce.- Le probléme de localisation.

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