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Graph Contraction Technique as an Alternative Approach to Solving Balanced Transportation Problem

Ben Obakpo Johnson*, Dr. A. D. Akwu and Dr. T. T. Ashezua
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Ben Obakpo Johnson*: Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria
Dr. A. D. Akwu: Department of Mathematics/Statistics/Computer Science, University of Agriculture, Makurdi, Benue State, Nigeria
Dr. T. T. Ashezua: Department of Mathematics/Statistics/Computer Science, University of Agriculture, Makurdi, Benue State, Nigeria

Academic Journal of Applied Mathematical Sciences, 2018, vol. 4, issue 5, 34-42

Abstract: In this work, we present an alternative method, namely, Graph Contraction Technique for solving the transportation problem which is a special class of Linear Programming Problem. We represented the transportation problem as a bipartite graph and solved it iteratively. To illustrate the method, two numerical examples are solved and the obtained solutions are compared with those obtained via Vogel approximation method. The present method yields the same initial basic feasible solutions of the problem. However, the present method is found to be very easy to understand; use and implement compared to the Vogel approximation method and can be applied on real life transportation problems by the decision makers.

Keywords: Optimization; Graph; Transportation; Spanning tree; Network flow (search for similar items in EconPapers)
Date: 2018
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