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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 19 | Number 3 | Year 2015 | Article Id. IJMTT-V19P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P523

A Brief Study on Paradox in Transportation Problem


Raghbir Dyal
Abstract

Paradox occurs in a linear transportation problem, but it is related to the classical transportation problem. This paper is an attempt to show that after obtaining optimal solution of transportation problem we can increase the quantity of transportation at lesser cost. Sufficient condition for existence of paradox is proved.

Keywords
Transportation Problem, Initial Basic Feasible Solution, Optimal Solution
References

[1] Arora, S., Puri, M.C.(1997) On lexicographic optimal solutions in transportation problem. Optimization 39, 383-403.
[2] Arora, S., Puri, M.C.(2001) On a standard time transportation problem. ASOR Bulletin 20, 2-14.
[3] Bansal, S., Puri, M.C.(1980) A min max problem. ZOR 24, 191-200.
[4] Bhatia, H.L., Swarup, K. Puri, M.C. (1977) A procedure for time minimizing transportation problem. Indian Journal of Pure and Applied Mathematics 8, 920-929.
[5] Dantzig, G. B. (1951). Linear Programming and Extensions. Princeton,NJ:Princeton University Press.
[6] Gupta, A. Khanna S. Puri, M. C. (1993). A Paradox in Linear Transportation Problems. Optimization. 27, 375-387
[7] Hitchcock FL (1941) The Distribution of a product from several sources to numerous localities. J. Math. Phy. 20: 224- 230.

Citation :

Raghbir Dyal, "A Brief Study on Paradox in Transportation Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 3, pp. 185-188, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P523

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