On Sensitivity in Linear Multiobjective Programming

L. V. Thuan and D. T. Luc
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L. V. Thuan: Hanoi Institute of Mathematics
D. T. Luc: University of Avignon

Journal of Optimization Theory and Applications, 2000, vol. 107, issue 3, No 11, 615-626

Abstract: Abstract In this paper, we prove that, if the data of a linear multiobjectiveprogramming problem are smooth functions of a parameter, then in theparameter space there is an open dense subset where the efficient solutionset of the problem can be locally represented as a union of some faces whosevertices and directions are smooth functions of the parameter.

Keywords: linear multiobjective programming; efficient solutions; sensitivity; smooth representation (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1026455401079

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