Revised interval ASM method for multi-objective interval transportation problems

Abstract

In this paper, a revised version of interval ASM method is proposed for solving multi objective interval transportation problems without converting them to their crisp equivalent forms. Multi-objective transportation problems (MOITP) involving interval parameters are considered. By assigning suitable weights to each objective function, the multiple objective interval transportation problem is reduced to a single objective interval transportation problem (SOITP). Initial basic feasible solution is obtained by applying the proposed method with the help of new interval arithmetic and ranking functions and the optimality is tested using the interval version of MODI method. A numerical example is provided to illustrate the efficiency of the proposed method.