Total shipping cost/completion-date trade-off in transportation problem with additional restriction (original) (raw)

Journal of Interdisciplinary Mathematics, 1998

Abstract

Abstract The standard cost minimizing transportation problem aims at the cost of transportation, while the time minimizing transportation problem focuses attention only on minimizing the time of transportation. In between the two extremes of minimization of cost and minimization of time, there exist a number of situations where a Transportation System Decision Maker would like a partial trade-off on cost to attain a certain degree of time advantages. In this paper, trade-off between the total shipping cost and time of transport is analyzed by solving the transportation problem with an additional restriction. An algorithm generating all solutions that are pareto-optimal with respect to the shipping cost and completion-date is developed for its solution.

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