Abstract

This paper addresses a multi-period fixed charge transportation problem (MPFCTP), which includes transportation, inventories, and backlog. The objective is to determine the size of the shipments in each period, inventory at the end of each period, and backlog at the end of each period, so that, the total cost of them are minimised. Two approximate heuristics, one by relaxing the fixed cost, and the other by an equivalent variable cost are proposed and illustrated as a solution methodology to find the lower bound and approximate solutions. The capability of the proposed heuristics in handling the MPFCTP problem is analysed by comparing the approximate solutions with the lower bound value.

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