Vector Optimization with Infimum and Supremum by Andreas Loehne (Hardcover, 2011)

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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.

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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.

Product Identifiers

PublisherSpringer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-139783642183508
eBay Product ID (ePID)178299501

Product Key Features

Subject AreaData Analysis
Publication NameVector Optimization with Infimum and Supremum
SubjectMathematics, Management
Publication Year2011
TypeTextbook
FormatHardcover
LanguageEnglish
AuthorAndreas Loehne
Number of Pages206 Pages

Dimensions

Item Height235 mm
Item Weight494 g
Item Width155 mm

Additional Product Features

Country/Region of ManufactureGermany
Title_AuthorAndreas Loehne
Series TitleVector Optimization
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