Duality for fractional transportation problem

Duality for fractional transportation problem

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Article ID: iaor19982464
Country: Belgium
Volume: 37
Start Page Number: 121
End Page Number: 133
Publication Date: Jan 1995
Journal: Cahiers du Centre d'tudes de Recherche Oprationnelle
Authors: ,
Keywords: programming: fractional
Abstract:

The main purpose of this paper is to introduce a dual problem of the following fractional transportation problem min f(X) = i=1m Σj=1n cij xij)/(Σi=1m Σj=1n dij xij) subject to j=1n xijai, i=1, ..., m; i=1m xijbj, j=1, ..., n; and xij ≥ 0, i=1, ..., m and j=1, ..., n. Weak, direct and converse duality theorems regarding the relationship between primal and dual problems are established. Finally, a numerical example is presented.

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