Solving the Trapezoidal Fuzzy Transportation Problems via New Heuristic

Abstract

The transportation problem is a one of the principal topics in operational research where goods are initially stored at different sources and need to be livered to destination in such a way the total transportation cost is minimum. In this paper, we consider the transportation problem in a trapezoidal fuzzy environment and we introduce the column-row heuristic Dhouib-Matrix-TP1 to solve it in just p iterations (where p is the maximal number between the total number of sources and destinations). The Dhouib-Matrix-TP1 heuristic is enhanced with the robust ranking function and with a new operation for selection based on mean and min metrics. To justify the proposed method, several numerical experiments are given to show the effectiveness of the new technique in solving the trapezoidal fuzzy transportation problems.