Полное описание

Löhne, A. Vector Optimization with Infimum and Supremum / by Andreas Löhne. - Electronic text data. - Berlin ; Heidelberg : Springer Berlin Heidelberg, 2011. - (Vector Optimization, ISSN 1867-8971). - URL: http://dx.doi.org/10.1007/978-3-642-18351-5. - Загл. с экрана. - ISBN 978-3-642-18351-5. - DOI 10.1007/978-3-642-18351-5. - Текст : электронный.

ГРНТИ	УДК
27.47.19	519.85

Рубрики:
business
operations research
decision making
algebra
ordered algebraic structures
algorithms
mathematical optimization
management science
business and Management
operation Research/Decision Theory
optimization
order, Lattices, Ordered Algebraic Structures
operations Research, Management Science
algorithms

Аннотация: 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.

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