In this paper, a multi-index, bi-criteria, fixed charge transportation problem (MIBCFCTP) is considered in which the parameters of cost and duration are taken as trapezoidal fuzzy numbers. An algorithm incorporating an extended VAM and an extended MODI method is developed to find Pareto optimal solutions of the problem. The algorithm is illustrated with a numerical example and solutions obtained are compared with existing methods.
In this paper, fuzzy multi index bi-criteria fixed charge bottleneck transportation problem (FMIBCFCBTP) is considered and for the first time all parameters are taken as trapezoidal fuzzy numbers. An algorithm is developed to find fuzzy time-cost trade-off pairs of FMIBCFCBTP. A numerical example is given to explain the proposed algorithm.
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