Variable Ordering Structures in Vector Optimization - Couverture rigide

Eichfelder, Gabriele

Couverture rigide

ISBN 10 : 3642542824 ISBN 13 : 9783642542824

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2014

Synopsis

This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones, one attached to each element of the objective space. The book starts by presenting several applications that have recently sparked new interest in these optimization problems, and goes on to discuss fundamentals and important results on a wide range of topics. The theory developed includes various optimality notions, linear and nonlinear scalarization functionals, optimality conditions of Fermat and Lagrange type, existence and duality results. The book closes with a collection of numerical approaches for solving these problems in practice.

A propos du livre

À propos de l?auteur

Gabriele Eichfelder is Professor for mathematical methods of Operations Research at Technical University of Ilmenau, Germany.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 3642542824
• ISBN 13: 9783642542824
• Reliure: Relié
• Nombre de pages: 203
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne