Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems

S G Acharyulu; Dr. K V V Chandra Mouli

Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems

S G Acharyulu * §

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drkvsau

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Dr. K V V Chandra Mouli

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§ GITAM Institute of Technology, GITAM University

Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems

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Abstract

The multi-objective transportation problem refers to a special class of vector minimum linear programming problem, in which constraints are of inequality type and all the objectives are non-commensurable and conflict with each other. A common problem encountered in solving such multi-objective problems is that to identify a compromise solution among a large number of non-dominated solutions, the decision maker has to develop a utility function for meeting the desired goal. In this paper, fuzzy membership functions are considered and deviation goals also taken for each objective function. Fuzzy max-min operator is implemented to show the effectiveness of the proposed methodology. LINGO software package is used to solve constrained optimization problem. To illustrate the proposed method, two numerical examples are solved and the results have been compared with interactive, fuzzy and deviation criterion approaches.

References

15 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

S G Acharyulu, drkvsau, Dr. K V V Chandra Mouli. . "Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems". Global Journal of Research in Engineering - B: Automotive Engineering GJRE-B Volume 11 (GJRE Volume 11 Issue B3).

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GJRE Volume 11 Issue B3

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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Classification

GJRE B Classification FOR Code: 080309

Submission ReceivedJanuary 13, 2011
Peer Review Double Blind
Handling Editor
Accepted February 3, 2011
Published February 15, 2011

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v1.2

Language

English

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Article Matrices

Total Score: 113

Country: India

Subject: Global Journal of Research in Engineering

Authors: Dr.K Venkatasubbaiah, S G Acharyulu, Dr. K V V Chandra Mouli (PhD/Dr. count: 2)

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Publish Date: 2011 02, Tue

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Total Views: 8.1K

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