Solution of Multi-Objective Transportation Problem Via Fuzzy Programming Algorithm

Abstract

This paper is on the solution of multi-objective transportation problem via fuzzy programming algorithm. The data for this paper was collected by an egg dealer in whose main office is located at Orji Owerri Imo State Nigeria, who supplies the product to different wholesalers (destinations) after taking it from different poultry farm (sources), and the time and cost of transportation from source i to destination j were recorded. TORA statistical software was employed in the data analysis, and the results of the analysis revealed that if we use the hyperbolic membership function, then the crisp model becomes linear. The result also revealed that the optimal compromise solution does not alter if we compare it with the solution obtained by the linear membership function. Thus, if we compare it with the solution obtained by the linear membership function, it is shown that the fuzzy optimal values do not depend on the chosen membership function be it linear or non-linear membership function.