A New Method to Solve Interval Transportation Problems

The present paper aims to propose an alternative solution approach in obtaining the optimal interval to an interval transportation problem (ITP) in which the cost-coefficients of the objective function, source and destination parameters are all in the fonn of interval. In this paper, the single obje...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2020-10, Vol.16 (4), p.802-811
Main Authors: Habiba, Ummey, Quddoos, Abdul
Format: Article
Language:English
Subjects:
Comparative studies
Mathematical models
Numbers
Supply & demand
Transportation problem
Online Access:Get full text
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Summary:The present paper aims to propose an alternative solution approach in obtaining the optimal interval to an interval transportation problem (ITP) in which the cost-coefficients of the objective function, source and destination parameters are all in the fonn of interval. In this paper, the single objective interval transportation problem is transfonned into an equivalent crisp bi-objective transportation problem where the left-limit and width of the interval are to be minimized. The solution to this bi-objective model is then obtained with the help of fuzzy programming technique. A set of twenty random numerical examples has been solved using the proposed approach. A comparative study has also been made between the proposed solution method and the method proposed by Das et al.(1999) which shows that the proposed method provides better solutions for eleven out of twenty problems.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v1614.3269