Author(s)

Farhana Akond Pramy^1*, Md. Ainul Islam²

¹Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka, Bangladesh.
²Department of Mathematics, University of Dhaka, Dhaka, Bangladesh.

In this paper, a modified method to find the efficient solutions of multi-objective linear fractional programming (MOLFP) problems is presented. While some of the previously proposed methods provide only one efficient solution to the MOLFP problem, this modified method provides multiple efficient solutions to the problem. As a result, it provides the decision makers flexibility to choose a better option from alternatives according to their financial position and their level of satisfaction of objectives. A numerical example is provided to illustrate the modified method and also a real life oriented production problem is modeled and solved.

Linear Programming (LP), Linear Fractional Programming (LFP), Multi-Objective Linear Programming (MOLP), Multi-Objective Linear Fractional Programming (MOLFP)

Akond Pramy, F. and Islam, M. (2017) Determining Efficient Solutions of Multi-Objective Linear Fractional Programming Problems and Application. Open Journal of Optimization, 6, 164-175. doi: 10.4236/ojop.2017.64011.