Variable Ordering Structures in Vector Optimization

Eichfelder, Gabriele

ISBN 10: 3662525518 / ISBN 13: 9783662525517

Published by Springer, 2016

About this Item

Print on Demand pp. 190.

Seller Inventory # 371942527

Bibliographic Details

• Title: Variable Ordering Structures in Vector Optimization
• Publisher: Springer
• Publication Date: 2016
• Language: English
• ISBN 10: 3662525518
• ISBN 13: 9783662525517
• Binding: Soft cover
• Condition: New

About this title

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.

About the Author

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