Vector Optimization with Infimum and Supremum

Vector Optimization with Infimum and Supremum
Author :
Publisher : Springer Science & Business Media
Total Pages : 211
Release :
ISBN-10 : 9783642183515
ISBN-13 : 3642183514
Rating : 4/5 (514 Downloads)

Book Synopsis Vector Optimization with Infimum and Supremum by : Andreas Löhne

Download or read book Vector Optimization with Infimum and Supremum written by Andreas Löhne and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence and appropriate properties of the infimum, the image space of the vector optimization problem is embedded into a larger space, which is a subset of the power set, in fact, the space of self-infimal sets. Based on this idea we establish solution concepts, existence and duality results and algorithms for the linear case. The main advantage of this approach is the high degree of analogy to corresponding results of Scalar Optimization. The concepts and results are used to explain and to improve practically relevant algorithms for linear vector optimization problems.


Vector Optimization with Infimum and Supremum Related Books

Vector Optimization with Infimum and Supremum
Language: en
Pages: 211
Authors: Andreas Löhne
Categories: Business & Economics
Type: BOOK - Published: 2011-05-25 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence and appropriate properties of the infimu
Recent Developments in Vector Optimization
Language: en
Pages: 568
Authors: Qamrul Hasan Ansari
Categories: Business & Economics
Type: BOOK - Published: 2011-09-21 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be sati
Vector Optimization
Language: en
Pages: 490
Authors: Johannes Jahn
Categories: Business & Economics
Type: BOOK - Published: 2010-11-22 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Fundamentals and important results of vector optimization in a general setting are presented in this book. The theory developed includes scalarization, existenc
Generalized Convexity and Vector Optimization
Language: en
Pages: 298
Authors: Shashi K. Mishra
Categories: Mathematics
Type: BOOK - Published: 2008-12-19 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The present lecture note is dedicated to the study of the optimality conditions and the duality results for nonlinear vector optimization problems, in ?nite and
Constrained Optimization and Image Space Analysis
Language: en
Pages: 404
Authors: Franco Giannessi
Categories: Mathematics
Type: BOOK - Published: 2006-10-27 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image spa