A Parametric Approach to Solve Bounded-Variable LFP by Converting into LP

• Main Authors: Sajal Chakroborty, M. Babul Hasan
• Format: Article
• Language: English
• Published: Operations research society of Taiwan 2016-06-01
• Series: International Journal of Operations Research
• Subjects: Bounded variable; AMPL; Linear Fractional Programming; Objective Function; Linear Programming
• Online Access: http://www.orstw.org.tw/ijor/vol13no2/IJOR2016_vol13_no2_p047_p057_final.pdf

In this paper, we have developed a new technique for solving bounded-variable linear fractional programming problems by converting into linear programming problems. In this technique, we have proposed to convert fractional objective function into linear objective function by making a relationship between the numerator and denominator with a parameter. A number of numerical examples are illustrated to demonstrate our technique. We have also developed a computer code by using a mathematical programming language AMPL and then present a comparison of our method with existing relevant methods.