Branch-and-Bound Variant of an Outcome-Based Algorithm for Optimizing over the Efficient Set of a Bicriteria Linear Programming Problem

J. Fülöp and L. D. Muu
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J. Fülöp: Hungarian Academy of Sciences
L. D. Muu: Institute of Mathematics

Journal of Optimization Theory and Applications, 2000, vol. 105, issue 1, No 3, 37-54

Abstract: Abstract The paper presents a finite branch-and-bound variant of an outcome-based algorithm proposed by Benson and Lee for minimizing a lower-semicontinuous function over the efficient set of a bicriteria linear programming problem. Similarly to the Benson-Lee algorithm, we work primarily in the outcome space. Dissimilarly, instead of constructing a sequence of consecutive efficient edges in the outcome space, we use the idea of generating a refining sequence of partitions covering the at most two-dimensional efficient set in the outcome space. Computational experience is also presented.

Keywords: multiple-criteria decision making; efficient set; global optimization; branch-and-bound methods (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004657827134

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