Differential Evolution: A Handbook for Global Permutation-Based Combinatorial Optimization - Couverture rigide

Couverture rigide

ISBN 10 : 3540921508 ISBN 13 : 9783540921509

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2009

Synopsis

What is combinatorial optimization? Traditionally, a problem is considered to be c- binatorial if its set of feasible solutions is both ?nite and discrete, i. e., enumerable. For example, the traveling salesman problem asks in what order a salesman should visit the cities in his territory if he wants to minimize his total mileage (see Sect. 2. 2. 2). The traveling salesman problem's feasible solutions - permutations of city labels - c- prise a ?nite, discrete set. By contrast, Differential Evolution was originally designed to optimize functions de?ned on real spaces. Unlike combinatorial problems, the set of feasible solutions for real parameter optimization is continuous. Although Differential Evolution operates internally with ?oating-point precision, it has been applied with success to many numerical optimization problems that have t- ditionally been classi?ed as combinatorial because their feasible sets are discrete. For example, the knapsack problem's goal is to pack objects of differing weight and value so that the knapsack's total weight is less than a given maximum and the value of the items inside is maximized (see Sect. 2. 2. 1). The set of feasible solutions - vectors whose components are nonnegative integers - is both numerical and discrete. To handle such problems while retaining full precision, Differential Evolution copies ?oating-point - lutions to a temporary vector that, prior to being evaluated, is truncated to the nearest feasible solution, e. g., by rounding the temporary parameters to the nearest nonnegative integer.

A propos du livre

Présentation de l'éditeur

This book, the first devoted entirely to the subject, presents in detail the various permutative-based combinatorial differential evolution formulations by their initiators in an easy-to-follow manner through numerous illustrations and computer code.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 3540921508
• ISBN 13: 9783540921509
• Reliure: Relié
• Nombre de pages: 213
• Éditeur: Onwubolu Godfrey C., Davendra Donald
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible