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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| Published in | Journal of intelligent & fuzzy systems Vol. 32; no. 3; pp. 1697 - 1709 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
London, England
SAGE Publications
01.01.2017
Sage Publications Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1064-1246 1875-8967 |
| DOI | 10.3233/JIFS-151656 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Roy, Sankar Kumar Maity, Gurupada |
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| Cites_doi | 10.1016/j.apm.2012.04.024 10.1016/j.trc.2015.06.012 10.1504/IJOR.2014.064021 10.1016/S0305-0483(03)00054-9 10.1080/00207543.2014.939236 10.1002/sapm1941201224 10.1007/BF03046907 10.1016/j.disopt.2008.04.004 10.1016/j.dam.2014.09.008 10.1287/mnsc.25.1.73 10.1287/mnsc.6.4.366 10.3233/IFS-151625 10.1016/j.ejor.2015.03.034 10.1002/nav.3800180405 10.1016/j.apm.2007.09.008 10.1504/IJOR.2016.080143 10.4018/ijsds.2014070101 10.1002/nav.3800160307 10.1016/j.omega.2005.07.009 |
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| References | 2015; 57 2015; 181 2011; 1 1960; 6 2015; 246 2015; 53 1941; 20 1977; 86 2008; 32 1969; 16 2013; 6 2007; 35 2003; 31 2014; 21 2016; 11 1976; 5 2013; 37 2014; 5 1979; 25 2015; 29 2014; 2 1971; 18 1981; 18 2016 2016; 27 1977; 8 2014; 33 e_1_3_2_26_2 e_1_3_2_27_2 e_1_3_2_28_2 Roy S.K. (e_1_3_2_19_2) 2011; 1 Maity G. (e_1_3_2_15_2) 2014; 2 e_1_3_2_21_2 e_1_3_2_22_2 e_1_3_2_24_2 e_1_3_2_25_2 Roy S.K. (e_1_3_2_23_2) 2016 Maity G. (e_1_3_2_13_2) 2016; 11 Prakash S. (e_1_3_2_18_2) 1981; 18 Bhatia H.L. (e_1_3_2_3_2) 1977; 8 Midya S. (e_1_3_2_16_2) 2014; 33 e_1_3_2_9_2 e_1_3_2_8_2 e_1_3_2_7_2 e_1_3_2_17_2 e_1_3_2_6_2 Roy S.K. (e_1_3_2_20_2) 2013; 6 e_1_3_2_10_2 e_1_3_2_5_2 e_1_3_2_11_2 e_1_3_2_4_2 e_1_3_2_12_2 e_1_3_2_2_2 e_1_3_2_14_2 |
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| Title | Minimizing cost and time through single objective function in multi-choice interval valued transportation problem |
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