Variable Ordering Structures in Vector Optimization - Rilegato

Eichfelder, Gabriele

 
9783642542824: Variable Ordering Structures in Vector Optimization
Rilegato
ISBN 10: 3642542824 ISBN 13: 9783642542824
Casa editrice: Springer Nature, 2014

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull?autore

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

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Nature
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
3642542824
ISBN 13 
9783642542824
Rilegatura
Copertina rigida
Numero di pagine
240
Contatto del produttore
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Germania

Altre edizioni note dello stesso titolo

9783662525517: Variable Ordering Structures in Vector Optimization

Edizione in evidenza

ISBN 10:  3662525518 ISBN 13:  9783662525517
Casa editrice: Springer, 2016
Brossura