Variable Ordering Structures in Vector Optimization - Tapa dura

Libro 4 de 8: Vector Optimization

Eichfelder, Gabriele

 
9783642542824: Variable Ordering Structures in Vector Optimization
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ISBN 10: 3642542824 ISBN 13: 9783642542824
Editorial: Springer, 2014

Sinopsis

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.

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Acerca del autor

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

De la contraportada

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.

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Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
3642542824
ISBN 13 
9783642542824
Encuadernación
Tapa dura
Número de páginas
206
Contacto del fabricante
Springer-Verlag GmbH
customerservice@springernature.com

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Heidelberg
Baden-Württemberg
69121
Alemania

Otras ediciones populares con el mismo título

9783662525517: Variable Ordering Structures in Vector Optimization

Edición Destacada

ISBN 10:  3662525518 ISBN 13:  9783662525517
Editorial: Springer, 2016
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