Vector Optimization

Variable Ordering Structures in Vector Optimization

Authors: Eichfelder, Gabriele

  • Presents variable ordering structures for the first time in book length format
  • Includes applications in Economics and Health
  • Provides algorithms for solving finite discrete as well as continuous vector optimization problems
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eBook $84.99
price for USA (gross)
  • ISBN 978-3-642-54283-1
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Hardcover $109.00
price for USA
  • ISBN 978-3-642-54282-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-3-662-52551-7
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

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 authors

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

Reviews

“This book is the first comprehensive introduction to the particular topic of vector optimization with variable ordering structures. … The presentation of the book is very detailed and relatively easy for reading. … Graduate students and researchers will find this book useful as a standard reference on vector optimization with variable ordering structures.” (Phan Quốc Khánh, Mathematical Reviews, December, 2015)


Table of contents (10 chapters)

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-642-54283-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-642-54282-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-3-662-52551-7
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Variable Ordering Structures in Vector Optimization
Authors
Series Title
Vector Optimization
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-54283-1
DOI
10.1007/978-3-642-54283-1
Hardcover ISBN
978-3-642-54282-4
Softcover ISBN
978-3-662-52551-7
Series ISSN
1867-8971
Edition Number
1
Number of Pages
XIII, 190
Number of Illustrations and Tables
41 b/w illustrations
Topics