Biconvex programming approach to optimization over the weakly efficient set of a multiple objective affine fractional problem

Biconvex programming approach to optimization over the weakly efficient set of a multiple objective affine fractional problem

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Article ID: iaor2006361
Country: Netherlands
Volume: 28
Issue: 2
Start Page Number: 81
End Page Number: 92
Publication Date: Mar 2001
Journal: Operations Research Letters
Authors: ,
Keywords: programming: fractional, programming: multiple criteria
Abstract:

We formulate the problem of optimizing a convex function over the weakly efficient set of a multicriteria affine fractional program as a special biconvex problem. We propose a decomposition algorithm for solving the latter problem. The proposed algorithm is a branch-and-bound procedure taking into account the affine fractionality of the criterion functions.

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