TY  - BOOK
AU  - Löhne,Andreas
ED  - SpringerLink (Online service)
TI  - Vector Optimization with Infimum and Supremum
T2  - Vector Optimization,
SN  - 9783642183515
AV  - HD30.23 
U1  - 658.40301 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Economics
KW  - Algebra
KW  - Algorithms
KW  - Mathematical optimization
KW  - Economics/Management Science
KW  - Operations Research/Decision Theory
KW  - Optimization
KW  - Order, Lattices, Ordered Algebraic Structures
KW  - Operations Research, Management Science
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-18351-5
ER  -