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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 26 | Number 2 | Year 2015 | Article Id. IJMTT-V26P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V26P515

A Brief Study of LD-VAM to Find Initial Feasible Solution of Transportation Problem


Raghbir Dyal
Abstract

This paper gives note on LD-VAM (logical development of Vogel approximation method), which is given by Das et al, in 2014. This paper shows that LD-VAM method does not always gives better initial solution than VAM. A counter example is given to prove the claim.

Keywords
Transportation Problem, Initial Basic Feasible Solution, Optimal Solution, LD-VAM.
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] Das et al (2014) Logical development of Vogel approximation method (LD-VAM); An approach to find basic feasible solution of transportation problems. An International Journal of Scientific and Technology Reasearch 3(2), 42-48
[7] Gupta, A. Khanna S. Puri, M. C. (1993). A Paradox in Linear Transportation Problems. Optimization. 27, 375-387
[8] 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 of LD-VAM to Find Initial Feasible Solution of Transportation Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 26, no. 2, pp. 69-71, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V26P515

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