2019•International Journal of Operational ResearchRequires access

A new method for solving linear fractional programming problem with absolute value functions

S. A. Edalatpanah, Tarni Mandal, Sapan Kumar Das

Abstract

In this paper, we propose a new model for linear fractional programming problem with absolute value functions. The major contribution of this paper is that transformation of linear fractional programming problem into separate linear programming problems with some theorems and then solution of these problems by popular algorithm. This work also used to simplex type algorithms to arrive at an optimal solution for a linear programming problem with absolute value. Moreover, we compare this method with an existing method. Numerical experiments are also given to illustrate the assertions.

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Key concepts: Simplex algorithm, Linear programming, Linear-fractional programming, Fractional programming, Criss-cross algorithm, Mathematical optimization, Mathematics, Transformation (genetics)