Minimizing cost and time through single objective function in multi-choice interval valued transportation problem

This paper explores the study of Transportation Problem (TP) under the light of multi-choice environment with interval analysis. The parameters of TP follow multi-choice interval-valued type so this form of TP is called Multi-Choice Interval Transportation Problem (MCITP). Introduction of time is an...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 32; no. 3; pp. 1697 - 1709
Main Authors Roy, Sankar Kumar, Maity, Gurupada
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2017
Sage Publications Ltd
Subjects
Cost engineering
Transportation problem
binary variable
multi-choice programming
transformation technique
Transportation problem
interval number
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ISSN1064-1246
1875-8967
DOI10.3233/JIFS-151656

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Summary:This paper explores the study of Transportation Problem (TP) under the light of multi-choice environment with interval analysis. The parameters of TP follow multi-choice interval-valued type so this form of TP is called Multi-Choice Interval Transportation Problem (MCITP). Introduction of time is an important notion in TP of this paper. Transportation time and cost, both are minimized through single objective function of TP, which is the main aim of this paper. A procedure is shown for converting from MCITP to deterministic TP and then solve it. A case study is included to illustrate the usefulness of the paper. Finally, concluding remarks and an outlook for future study are presented to this paper.
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ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-151656