Parametric approach for linear fractional programming with interval coefficients in the objective function

Abstract

Articles you may be interested inParametric approach for an absolute value linear fractional programming with interval coefficients in the objective function AIP Conf.Abstract. In this paper, the linear fractional programming problem with interval coefficients in the objective function is considered. The aim of the paper is to show that a parametric approach, which is an iterative procedure, can be utilized to solve such problem. Questions of how to select the best coefficient through the intervals and also selecting the best value of decision variables are answered in this paper. Finally, the proposed method yields to the optimal solution. An example is given to show the efficiency of the method.

Generating Pareto Optimal Solutions of Multi-Objective LFPP With Interval Coefficients Using E-Constraint Method

“…Jain and Arya [12] proposed an inverse optimization model to find out the solutions of a linear fractional programming problem. Borza et al [3] derived a method to solve LFPP with interval coefficients in the objective function. Effati and Pakdaman [8] converted the objective function with interval coefficients to an interval valued objective function.…”

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“…The objective space for multiple objectives linear fractional programming with equal denominators was given by Tantawy (2007). Borza, Rambely, and Saraj (2012) solved linear fractional programming problems with interval coefficients in the objective function only. Sapan and Mandal (2015) presented a new method for solving a class of single constraint linear fractional programming problem.…”

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“…In addition (2012) Babul [3] he studies a technique for solving special type quadratic programming problems. Also in (2012) Borza, Sham and Saraj [4] studied and suggested Solving Linear Fractional Programming Problems with Interval Coefficients in the Objective Function. A New Approach.…”