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Vector Optimization with Infimum and Supremum

by Andreas Löhne
Save 35% Save 35%
Current price ₹8,005.00
Original price ₹12,314.00
Original price ₹12,314.00
Original price ₹12,314.00
(-35%)
₹8,005.00
Current price ₹8,005.00

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Book cover type: Hardcover
  • ISBN13: 9783642183508
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 206
  • Original Price: EUR 109.99
  • Language: English
  • Edition: N/A
  • Item Weight: 454 grams
  • BISAC Subject(s): Operations Research, Algebra / General, and Applied

From the 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.

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