1Director-Research (Additional Charge), M. D. S. University, Ajmer & Department of Mathematics, S. P. C. Government College, Ajmer, India, E-mail: drjainsanjay@gmail.com
2Department of Mathematics, Engineering College Ajmer, Affiliated to Bikaner Technical University, Bikaner, India, dradarshmangal1@gmail.com
Online published on 10 September, 2021.
In this paper, an attempt has been made to solve Multi-objective Linear Programming Problem (MOLPP) by using various techniques. The individual objective function involved in the MOLPP is solved by AHA simplex algorithm. After that, with the help of values of objective function obtained by AHA simplex algorithm; the objective function of original MOLPP is transformed into an objective function of a single LPP by using various techniques viz., Chandra Sen's technique, averaging techniques and new averaging techniques and then the solution can be recovered by applying Modified Fourier elimination technique. The method is quite useful because the calculations involved are simple in nature and takes least time. The method has been illustrated by a numerical example.
Multi-objective Linear Programming Problem, AHA Simplex Algorithm, Modified Fourier Elimination Technique, Objective Function, Chandra Sen's technique, Averaging technique, New Averaging technique, AHA Simplex Algorithm
