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

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. (C) 2001 Published by Elsevier Science B.V.