Maximum {Supplies, Demands} Method to Find the Initial Transportation Problem

  • Dhia A.S. Kadhem University of Duhok
  • Mardeen Sh. Taher University of Duhok
Keywords: The

Abstract

In this paper, we have developed an additional method using the Maximum {Supplies, Demands} and combining both of them with the minimum cost to find an initial solution which is very close to the optimal or at most it is the optimum solution. The transportation algorithm follows the exact steps of the simplex method. However, instead of using the regular simplex tableau, we take advantage of the special structure of the transportation model to organize the computation in a more convenient form. There are several methods for finding the initial basic feasible solution (BFS) of Transportation Problem (TP). But, there is no suitable answer to the question: Which method is the best one

Author Biographies

Dhia A.S. Kadhem, University of Duhok

Dept. of Mathematics, Faculty of Science, University of Duhok, Kurdistan Region – Iraq

Mardeen Sh. Taher, University of Duhok

Dept. of Mathematics, Faculty of Science, University of Duhok, Kurdistan Region – Iraq

References

antzig, G., Linear Programming and Extensions, Princeton University Press, Princeton, NJ, 1963.
Hillier F., and Lieberman G. Introduction to Operations Research. Holden-Day, 2001
Rardin, R.L., Optimization in Operations Research. Englewood Cliffs: Prentice Hall, 1998
Shri Deo Sharma and Dhia A. Kadhem, A new method for initial solution of transportation problem, Acta Ciencia Indica, Vol. XVM, No.1,11(1989)
Taha, H.A., Operations Research: An Introduction. Englewood Cliffs: Prentice Hall, Seven Edition, 2003
Winston W.L., Operations Research: Applications and Algorithms, Duxbury Press, Wadsworth Inc. 2004,
Published
2013-09-30
How to Cite
Kadhem, D., & Taher, M. (2013). Maximum {Supplies, Demands} Method to Find the Initial Transportation Problem. Science Journal of University of Zakho, 1(2), 849-853. Retrieved from https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/430
Section
Science Journal of University of Zakho