FUZZY PROGRAMMING TECHNIQUE TO SOLVE BI-OBJECTIVE TRANSPORTATION PROBLEM

Bodkhe S.G.¹*, Bajaj V.H.²*, Dhaigude R.M.^3
1Department of Statistics, Dr. B. A. Marathwada University, Aurangabad, 431004, MS
²Department of Statistics, Dr. B. A. Marathwada University, Aurangabad, 431004, MS
³Department of Mathematics, A. S. C. Collage, Badnapur, Jalna, MS
* Corresponding Author : vhbajaj@gmail.com

Received : -     Accepted : -     Published : 15-06-2010
Volume : 2     Issue : 1       Pages : 46 - 52
Int J Mach Intell 2.1 (2010):46-52
DOI : http://dx.doi.org/10.9735/0975-2927.2.1.46-52

Keywords : Transportation problem, Fuzzy programming, Linear and nonlinear membership functions, Bi criteria optimization technique
Conflict of Interest : None declared

In a transportation problem generally a single criterion of minimizing the total transportation cost is considered but in certain practical situations two or more objectives are relevant. For example, the objectives may be minimization of total cost, consumption of certain scarce resources such as energy, total deterioration of goods during transportation etc. Clearly, this problem can be solved using any of the multiobjective linear programming techniques, but the computational efforts needed would be prohibitive in many cases. In this paper, The Bi-objective transportation problem, where only objectives are considered as fuzzy. We apply the fuzzy programming technique with hyperbolic membership function to solve a biobjective transportation problem as vector minimum problem.

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