Vector Optimization with Infimum and Supremum by Andreas L?hne (English) Hardcov

Description: Vector Optimization with Infimum and Supremum by Andreas Löhne 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Notes Presents a completely new approach to Vector OptimizationCovers the range from theory to algorithmsIncludes a self-contained chapter on the linear case Back Cover 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. Feature Presents a completely new approach to Vector Optimization Covers the range from theory to algorithms Includes a self-contained chapter on the linear case Details ISBN3642183506 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Series Vector Optimization Year 2011 ISBN-10 3642183506 ISBN-13 9783642183508 Publication Date 2011-05-27 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Format Hardcover Short Title VECTOR OPTIMIZATION W/INFIMUM Language English Media Book Pages 206 Edition 2011th DEWEY 519.6 Illustrations X, 206 p. DOI 10.1007/978-3-642-18351-5 Author Andreas Löhne Alternative 9783642268410 Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96242116;

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