REVISED INTERVAL ASM METHOD FOR MULTI-OBJECTIVE INTERVAL TRANSPORTATION PROBLEMS

REVISED INTERVAL ASM METHOD FOR MULTI-OBJECTIVE INTERVAL TRANSPORTATION PROBLEMS

G. Sudha, K. Ganesan, I. Silambarasan

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Abstract

In this paper, a revised version of interval ASM method is proposed for solv- ing multi objective interval transportation problems without converting them to their crisp equivalent forms. Multi-objective transportation problems (MOITP) involving in- terval parameters are considered. By assigning suitable weights to each objective func- tion, the multiple objective interval transportation problem is reduced to a single objec- tive 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 e ciency of the proposed method.

Keywords

Interval Numbers, New interval arithmetic, Ranking, Interval initial feasible solution, ASM method.