Variable Ordering Structures in Vector Optimization - Hardcover

Book 4 of 8: Vector Optimization

Eichfelder, Gabriele

 
9783642542824: Variable Ordering Structures in Vector Optimization
Hardcover
ISBN 10: 3642542824 ISBN 13: 9783642542824
Publisher: Springer, 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.

"synopsis" may belong to another edition of this title.

About the Author

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

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2014
Language
English
ISBN 10 
3642542824
ISBN 13 
9783642542824
Binding
Hardcover
Number of pages
203

Other Popular Editions of the Same Title

9783662525517: Variable Ordering Structures in Vector Optimization

Featured Edition

ISBN 10:  3662525518 ISBN 13:  9783662525517
Publisher: Springer, 2016
Softcover