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Vector Optimization with Infimum and Supremum

Name: Vector Optimization with Infimum and Supremum
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01657348
Price: 117.99 EUR
Availability: InStock
Author: Andreas Löhne
ISBN: 9783642183508

Andreas Löhne

Language

English

Book Hardback

Libristo code: 01657348

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, May 2011

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

Libristo code: 01657348

289 b

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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.