An Alternate for the Initial Basic Feasible Solution of Category 1 Uncertain Transportation Problems

Transportation plays a major role in the industrial and corporate world and so as uncertainty. Several ways have been given in the literature to deal with the imprecision originated from various uncontrollable factors and conditions. In this paper, we consider transportation problems with uncertainty in transportation costs and propose an alternate algorithm to find its initial basic feasible solution. The grade value for the zero costs is defined and is used to find the initial solution. Numerical examples with transportation costs represented by different kinds of fuzzy numbers have been added to illustrate the proposed methodology. A comparison of the obtained results with those obtained by the existing ones indicates that the proposed algorithm yields better results than the existing methods of finding the initial basic feasible solution like fuzzy north-west method, fuzzy least cost method and the fuzzy Vogel’s approximation method.