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Fuzzy Transshipment Problem

by B. Abirami, R. Sattanathan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 46 - Number 17
Year of Publication: 2012
Authors: B. Abirami, R. Sattanathan
10.5120/7012-9632

B. Abirami, R. Sattanathan . Fuzzy Transshipment Problem. International Journal of Computer Applications. 46, 17 ( May 2012), 40-45. DOI=10.5120/7012-9632

@article{ 10.5120/7012-9632,
author = { B. Abirami, R. Sattanathan },
title = { Fuzzy Transshipment Problem },
journal = { International Journal of Computer Applications },
issue_date = { May 2012 },
volume = { 46 },
number = { 17 },
month = { May },
year = { 2012 },
issn = { 0975-8887 },
pages = { 40-45 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume46/number17/7012-9632/ },
doi = { 10.5120/7012-9632 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:40:01.957770+05:30
%A B. Abirami
%A R. Sattanathan
%T Fuzzy Transshipment Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 46
%N 17
%P 40-45
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The fuzzy transportation problem in which available commodity frequently moves from one source to another source or destination before reaching its actual destination is called a fuzzy transshipment problem. To solve the fuzzy transshipment problem by linear programming problem using Simplex-type Algorithm by [1]. The advantage of this algorithm is that it does not use any artificial variables and it also reduces the iterations to get an optimum solution.

References
  1. H. Arsham and A. B. Kahn, A simplex-type algorithm for general transportation problems: An alternative to Stepping-stone, Journal of Operational Research Society, 40(1989), 581-590.
  2. A. Nagoor Gani, A. Edward Samuel and D. Anuradha, Simplex Type Algorithm for solving Fuzzy Transportation Problem, Tamsui Oxford Journal of Information and Mathematical Sciences 27(1)(2011) 89-98.
  3. N. Mahdavi-Amiri and S. H. Nasseri, Duality results and a dual simplex method for linear programming problems with trapezoidal fuzzy variables, Fuzzy Sets and Systems 158(2007) 1961-1978.
  4. R. R. Yager, A procedure for ordering fuzzy subsets of the unit interval, Inform. Sci 24(1981) 143-161.
  5. Amit Kumar, Amarpreet Kaur, Anila Gupta, Fuzzy Linear Programming Approach for Solving Fuzzy Transportation Problems with Transshipment Math Model Algor(2011)10:163-180.
  6. R. E. Belman and L. A. Zadeh, Decision making in a fuzzy Environment, Management science,17(1970),B141- B164.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy Transshipment Problem Arsham-khan's Algorithm Trapezoidal Fuzzy Numbers.

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