Vector optimization with infimum and supremum / Andreas Lohne

By:

Lohne, Andreas

Material type: Text

TextPublication details: Berlin : Springer, 2011Description: x, 206p. 24cmISBN:

9783642183508

Subject(s):

DDC classification:

519.6 LOH

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Book	Calcutta	519.6 LOH (Browse shelf(Opens below))	Available		IIMC-133087

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Previous	519.6 LEI Topics in optimization /	519.6 LEV The Basics of practical optimization /	519.6 LIB Global optimization :	519.6 LOH Vector optimization with infimum and supremum /	519.6 MED Stochastic optimal linear estimation and control /	519.6 MED Stochastic optimal liner estimation and control /	519.6 MER Optimization theory and the design of feedback control systems /	Next

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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