Vector Optimization with Infimum and Supremum

Name: Vector Optimization with Infimum and Supremum
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642183508
Price: 2514 CZK
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Autor: Andreas Löhne

Jazyk:

Vazba: Pevná

Vydavatel: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnost: Skladem u dodavatele

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The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In ord...

Informace o knize

Autor

Andreas Löhne

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2011

Stránek

206

EAN

9783642183508

ISBN

3642183506

Enbook ID

01657348

Vydavatel

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnost

494

Rozměry

155 x 235 x 16

Kompletní popis

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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Vector Optimization with Infimum and Supremum

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