The Pascoletti–Serafini Scalarization Scheme and Linear Vector Optimization

N. T. T. Huong () and N. D. Yen ()
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N. T. T. Huong: Le Qui Don University
N. D. Yen: Vietnam Academy of Science and Technology

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 2, No 12, 559-576

Abstract: Abstract The Pascoletti–Serafini scalarization scheme for general vector optimization problems is studied. It is specified to linear vector optimization to give minimal representation formulae for the weakly efficient solution set and the efficient solution set. Several facts on connectedness of the solution sets of Pascoletti–Serafini’s scalar auxiliary problems, both for linear vector optimization and for nonlinear vector optimization, are established.

Keywords: Vector optimization; Linear vector optimization; The Pascoletti–Serafini scalarization; Representation formula; Solution connectedness (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-013-0294-8

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