ENGLISH

Vector Optimization with Infimum and Supremum

By Andreas Löhne (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
3642183506, 9783642183508
DOI
10.1007/978-3-642-18351-5
ISSN
1867-8971
Google Books ID
gvbcBIFp3xEC
Language
english
Format
PDF
Filesize
2 MB (2075990 bytes)
Series
Vector Optimization
Edition
1
Pages
206\211
Orientation
no
Scanned
no
Time added
2011-08-31 04:54:40
LatticesManagement Science; AlgorithmsOperations Research/Decision Theory; Optimization;Ordered Algebraic Structures; Operations Research

Description

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.

Similar books