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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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Variable Ordering Structures in Vector Optimization
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Springer Berlin Heidelberg, 2014
ISBN 10: 3642542824
ISBN 13: 9783642542824
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 204 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 24530233/12
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Variable Ordering Structures in Vector Optimization
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Springer Berlin Heidelberg Apr 2014, 2014
ISBN 10: 3642542824
ISBN 13: 9783642542824
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 204 pp. Englisch. Nº de ref. del artículo: 9783642542824
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Variable Ordering Structures in Vector Optimization
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Springer Berlin Heidelberg, 2014
ISBN 10: 3642542824
ISBN 13: 9783642542824
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783642542824
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Variable Ordering Structures in Vector Optimization
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Condición: New. In. Nº de ref. del artículo: ria9783642542824_new
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Variable Ordering Structures in Vector Optimization (Hardback or Cased Book)
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Hardback or Cased Book. Condición: New. Variable Ordering Structures in Vector Optimization 1.03. Book. Nº de ref. del artículo: BBS-9783642542824
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Variable Ordering Structures in Vector Optimization
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Springer Berlin Heidelberg, 2014
ISBN 10: 3642542824
ISBN 13: 9783642542824
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Variable Ordering Structures in Vector Optimization
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Variable Ordering Structures in Vector Optimization
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