A New Approach for Finding the Initial Solution of the Unbalanced Transportation Problem

Authors

  • Qazi Shoeb Ahmad Department of Statistics, Science Unit, Deanship of Educational Services, Qassim University, Buraidah, Kingdom of Saudi Arabia

DOI:

https://doi.org/10.24203/ajbm.v8i4.6304

Keywords:

Transportation problem, unbalanced transportation problem, initial basic feasible solution, Vogel’s approximation method

Abstract

A transportation problem deals with two different problems balanced transportation problem or unbalanced transportation problem. This paper points out how Goyal’s modification of Vogel’s approximation method for the unbalanced transportation problem can be improved by subtracting or adding suitable constants to the cost matrix, rows and columns of the cost matrix. In this paper, a new method is proposed for solving unbalanced transportation problem which gives optimal or very near to optimal solution.

References

Ahmad Q. S., “A new approach for initial solution of transportation problem”, The Manager, ISSN: 0973-8231, Vol. 3, No.1, 65-66, January-June, 2008.

Dantzig, G.B., Linear Programming and Extensions, Princeton, NJ: Princeton University Press, 1963.

Goyal S. K., “A note on a heuristic for obtaining an initial solution for the transportation problem”, Journal of Operational Research Society, Vol. 42(9), 819-821, 1991.

Goyal S. K., “Improving VAM for unbalanced transportation problems”, Journal of Operational Research Society, Vol. 35, pp. 1113-1114, 1984.

Kirca O. and Satir A., “A heuristic for obtaining an initial solution for the transportation problem”, Journal of Operational Research Society, Vol. 41(9), pp. 865-871, 1990.

Murthy K. G., Linear and Combinatorial Programming, Wiley (Inter Science), New York, 1976

Ramakrishnan C. S., “An improvement to Goyal’s modified VAM for the unbalanced transportation problem”, Journal of Operational Research Society, Vol. 39, pp. 609-610, 1988.

Reinfeld N. V. and Vogel W. R., Mathematical Programming, pp. 59-70. Prentice Hall, Englewood Cliffs, N.J., 1958

Sharma, R. R. K. and K. D. Sharma, “A new dual based procedure for the transportation problem”, European Journal of Operational Research, Vol.122 (3), pp. 611-624, 2000.

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Published

2020-10-30

How to Cite

Ahmad, Q. S. (2020). A New Approach for Finding the Initial Solution of the Unbalanced Transportation Problem . Asian Journal of Business and Management, 8(4). https://doi.org/10.24203/ajbm.v8i4.6304

Issue

Vol. 8 No. 4 (2020): October 2020

Section

Articles

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Copyright (c) 2020 Asian Journal of Business and Management

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