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Solution of Fuzzy Transportation Problem using Improved VAM with Roubast Ranking Technique

by Surjeet Singh Chauhan, Nidhi Joshi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 82 - Number 15
Year of Publication: 2013
Authors: Surjeet Singh Chauhan, Nidhi Joshi
10.5120/14237-1165

Surjeet Singh Chauhan, Nidhi Joshi . Solution of Fuzzy Transportation Problem using Improved VAM with Roubast Ranking Technique. International Journal of Computer Applications. 82, 15 ( November 2013), 6-8. DOI=10.5120/14237-1165

@article{ 10.5120/14237-1165,
author = { Surjeet Singh Chauhan, Nidhi Joshi },
title = { Solution of Fuzzy Transportation Problem using Improved VAM with Roubast Ranking Technique },
journal = { International Journal of Computer Applications },
issue_date = { November 2013 },
volume = { 82 },
number = { 15 },
month = { November },
year = { 2013 },
issn = { 0975-8887 },
pages = { 6-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume82/number15/14237-1165/ },
doi = { 10.5120/14237-1165 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:57:48.158783+05:30
%A Surjeet Singh Chauhan
%A Nidhi Joshi
%T Solution of Fuzzy Transportation Problem using Improved VAM with Roubast Ranking Technique
%J International Journal of Computer Applications
%@ 0975-8887
%V 82
%N 15
%P 6-8
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The present paper attempts to study the solution of Fuzzy transportation problem so as to find the least transportation cost of commodities when supply, demand and cost of the commodities are represented by fuzzy numbers. Panadian[1] and other authors have presented arithmetic operations, alpha level and simple ranking by various other operations. Pandian[1] has obtained some methods for fuzzy transportation problem. This paper proposes a ranking method to find the fuzzy optimal solution of balanced fuzzy transportation problem using trapezoidal fuzzy numbers with improved Vogel's Approximation Method. This algorithm is found to be more efficient than other existing algorithms. The procedure for the solution is illustrated with a numerical example. Further, comparative study among the new algorithm and the other existing algorithms is established by means of sample problem. The advantages of the proposed method over existing methods are also discussed. Moreover, the proposed representation of trapezoidal fuzzy numbers over existing representation are also discussed.

References
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  7. Poonam Shugani, S. H. Abbas, Vijay Gupta. 2012. Unbalanced Fuzzy Transportation Problem With Roubast Ranking Technique, Asian Journal of Current Engineering and Maths 1: 3, 94 – 97.
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  10. Serdar Korukoglu and Serkan Balli. 2010. An improved vogel's approximation method for the transportation problem, Mathematical and computational Applications, Article in press.
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Index Terms

Computer Science
Information Sciences

Keywords

Optimization Fuzzy transportation problem Ranking technique Trapezoidal fuzzy number optimal solution Improved VAM Total opportunity cost.

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