A comparative study of ASM and NWCR method in transportation problem

Downloads

DOI:

https://doi.org/10.26637/mjm502/010

Abstract

The transportation model is a special class of the linear programming problem. It deals with the situation in which commodity is shipped from sources to destinations. The objective is to minimize the total shipping cost while satisfying both the supply limit and the demand requirements. In this paper, a new method named ASM-method for finding an optimal solution for a transportation problem. The most attractive feature of this method is that it requires very simple arithmetical and logical calculation. So it is very easy to understand and use.

Keywords:

Transportation problem, optimal solution, ASM (Assigning Shortest Minimax)-method, NWCR method

Mathematics Subject Classification:

90B06, 90C08, 68T27, 68T37
  • B. Satheesh Kumar Department of Mathematics, Dr. N. G. P. Arts and Science College, Coimbatore- 641048, Tamil Nadu, India.
  • R. Nandhini Department of Mathematics, Dr. N. G. P. Arts and Science College, Coimbatore- 641048, Tamil Nadu, India.
  • T. Nanthini Department of Mathematics, Dr. N. G. P. Arts and Science College, Coimbatore- 641048, Tamil Nadu, India.
  • Pages: 321-327
  • Date Published: 01-04-2017
  • Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)

A. Quddoos, S. Javaid and M.M. Khalid, A new method for finding an optimal solution for Transportation problem, International Journal on Computer Science and Engineering, 4(7)(2012), 12711274.

M. K. Hasan, Direct methods for finding optimal solution of a transportation problems are not always reliable, International Refereed Journal of Engineering and Science, 1(2)(2012), 46-52.

H.A.Taha, Operations Research: An Introduction, Fifth Edition, Prentice Hall of India, New Delhi, 1996.

A. Charnes, W.W. Cooper and A. Henderson, An Introduction to Linear Programming, Wiley, New York, 1953.

V. J. Sudhakar, N. Arunsankar and T. Karpagam, A new approach for finding an optimal solution for transportation problems, European Journal of Scientific Research, 68(2012), 254-257.

P. Pandian and G. Natarajan, A new method for finding an optimal solution for transportation problems, International Journal of Mathematical Sciences and Engineering Applications , 4(2010), 59-65.

H. Arsham, Postoptimality analysis of the transportation problem, Journal of the Operational Research Society, 43(2)(1992), 121-139. DOI: https://doi.org/10.1057/jors.1992.18

A. Edward Samuel and M. Venkatachalapathy, Modified Vogels Approximation Method for Fuzzy Transportation Problems, Applied Mathenatical Sciences, 28(2011), 1367-1372.

J. K. Sharma, Operations Research: Theory and Applications, Macmillan Publishers India Limited, New Delhi, 2005.

  • NA

Metrics

PDF views
95
Jul 2017Jan 2018Jul 2018Jan 2019Jul 2019Jan 2020Jul 2020Jan 2021Jul 2021Jan 2022Jul 2022Jan 2023Jul 2023Jan 2024Jul 2024Jan 2025Jul 2025Jan 20269
|

Published

01-04-2017

How to Cite

B. Satheesh Kumar, R. Nandhini, and T. Nanthini. “A Comparative Study of ASM and NWCR Method in Transportation Problem”. Malaya Journal of Matematik, vol. 5, no. 02, Apr. 2017, pp. 321-7, doi:10.26637/mjm502/010.