SOLVING LINEAER FRACTIONAL PROGRAMMING PROBLEMS USING A NEW HOMOTOPY PERTURBATION METHOD
K. "Sapan, and M. "Tarni. Operations Research and Applications : An International Journal (ORAJ)2 (3):
A new Homotopy Perturbation Method (HPM) is used to find exact solutions for the system of Linear Fractional Programming Problem (LFPP) with equality constraints. In best of my knowledge, first time we are going to introduce a new technique using Homotopy for solving LFP problem. The Homotopy Perturbation method (HPM) and factorization technique are used together to build a new method. A new technique is also used to convert LFPP to Linear programming problem (LPP). The results betray that our proposed method is very easy and effective compare to the existing method for solving LFP problems with equality constraints applied in real life situations. To illustrate the proposed method numerical examples are solved and the obtained results are discussed.