Multicriteria fractional programming-An approach by means of conjugate functions

Multicriteria fractional programming-An approach by means of conjugate functions

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Article ID: iaor19952280
Country: Germany
Volume: 16
Issue: 4
Start Page Number: 249
End Page Number: 254
Publication Date: Dec 1994
Journal: OR Spektrum
Authors: ,
Keywords: programming: fractional
Abstract:

This paper deals with multicriteria fractional problems. Since these problems in general are not convex, the basic problem will be transformed into a convex optimization problem by using an extension of the conception of Dinkelbach to vector optimization. It will be formulated a dual problem to the transformed optimization problem, where conjugate functions are used. There will be proved strong and converse duality theorems with conclusions to basic fractional problem.

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