Variable Ordering Structures in Vector Optimization

Business & Finance, Management & Leadership, Operations Research, Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Variable Ordering Structures in Vector Optimization by Gabriele Eichfelder, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gabriele Eichfelder ISBN: 9783642542831
Publisher: Springer Berlin Heidelberg Publication: April 4, 2014
Imprint: Springer Language: English
Author: Gabriele Eichfelder
ISBN: 9783642542831
Publisher: Springer Berlin Heidelberg
Publication: April 4, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book The Future of Mountain Agriculture by Gabriele Eichfelder
Cover of the book Environmental Technologies and Trends by Gabriele Eichfelder
Cover of the book Endocrine Regulation of Electrolyte Balance by Gabriele Eichfelder
Cover of the book Rechtsfragen der Personalisierten Medizin by Gabriele Eichfelder
Cover of the book Alternative Energy Sources by Gabriele Eichfelder
Cover of the book The Stockholm County Medical Information System by Gabriele Eichfelder
Cover of the book Begleitung von Flüchtlingen mit traumatischen Erfahrungen by Gabriele Eichfelder
Cover of the book Gynecological Tumors by Gabriele Eichfelder
Cover of the book Minimally Invasive Gynecological Surgery by Gabriele Eichfelder
Cover of the book NF-kB in Health and Disease by Gabriele Eichfelder
Cover of the book Molekulare Mechanismen der Zellalterung und ihre Bedeutung für Alterserkrankungen des Menschen by Gabriele Eichfelder
Cover of the book Systemic Lupus Erythematosus by Gabriele Eichfelder
Cover of the book Myocardial Preconditioning by Gabriele Eichfelder
Cover of the book Oral Candidosis by Gabriele Eichfelder
Cover of the book Molecular Identification of Fungi by Gabriele Eichfelder
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy