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In this paper we present some duality assertions to a non-convex multiobjective fractional optimization problem. To the primal problem we attach an intermediate multiobjective convex optimization problem, using an approach due to Dinkelbach ([6]), for which we construct then a dual problem. This is expressed in terms of the conjugates of the numerator and… (More)

- Robert Chares, François Glineur
- Math. Meth. of OR
- 2008

We consider the single-facility location problem with mixed norms, i.e. the problem of minimizing the sum of the distances from a point to a set of fixed points in R n , where each distance can be measured according to a different p-norm. We show how this problem can be expressed into a structured conic format by decomposing the nonlinear components of the… (More)

The present paper is a continuation of [2] where we deal with the duality for a multiobjective fractional optimization problem. The basic idea in [2] consists in attaching an intermediate multiobjective convex optimization problem to the primal fractional problem, using an approach due to Dinkelbach ([6]), for which we construct then a dual problem… (More)

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