Interval-Fuzzy Fixed Charge Transportation Problems

Abstract

The fixed charge transportation problem (FCTP) is a variant of the well-known transportation problem in which the price of conveying products from a source to a sink is made up of a set cost and a continuous cost proportionate to the number of goods sent. The transportation system and FCTP with uncertain parameters are inextricably linked. Fuzzy numbers or interval numbers can be used to successfully handle these imprecise values. The cost coefficients, supplies, and demands are all represented as interval numbers in this paper. A modified interval version of Vogel's Approximation process is used to obtain the initial basic feasible solution (IBFS) of the interval fixed charge transportation problem (IFCTP), which is then optimized using interval version of MODI method. A numerical example is provided to show the efficiency of the proposed method.