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Year 2016, Volume: 45 Issue: 5, 1485 - 1518, 01.10.2016

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Multi-stage multi-objective solid transportation problem for disaster response operation with type-2 triangular fuzzy variables

Year 2016, Volume: 45 Issue: 5, 1485 - 1518, 01.10.2016

Abstract

In this paper, for the first time we formulate and solve multi-stage solid transportation problem (MSSTP) to minimize the total cost and time with type-2 fuzzy transportation parameters. During transportation period, loading, unloading cost and time, volume and weight for each item, limitation of volume and weight for each vehicle are normally imprecise and taken into account to formulate the models. To remove the uncertainty of the type-2 fuzzy transportation parameters from objective functions and constraints, we apply CV-Based reduction methods and generalized credibility measure. Disasters are unexpected situations that require significant logistical deployment to transport equipment and humanitarian goods in order to help and provide relief to victims and sometime this transportation is not possible directly from supply point to destination. Again, the availabilities at supply points and requirements at destinations are not known precisely due to disaster. For this reason, we formulate the multi-stage solid transportation problems under uncertainty (type-2 fuzzy). The models are illustrated with a numerical example. Finally, generalized reduced gradient technique (LINGO.13.0 software) is used to solve the models.

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There are 2 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Statistics
Authors

Abhijit Baidya This is me

Uttam Kumar Bera This is me

Manoranjan Maiti This is me

Publication Date October 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 5

Cite

APA Baidya, A., Bera, U. K., & Maiti, M. (2016). Multi-stage multi-objective solid transportation problem for disaster response operation with type-2 triangular fuzzy variables. Hacettepe Journal of Mathematics and Statistics, 45(5), 1485-1518.
AMA Baidya A, Bera UK, Maiti M. Multi-stage multi-objective solid transportation problem for disaster response operation with type-2 triangular fuzzy variables. Hacettepe Journal of Mathematics and Statistics. October 2016;45(5):1485-1518.
Chicago Baidya, Abhijit, Uttam Kumar Bera, and Manoranjan Maiti. “Multi-Stage Multi-Objective Solid Transportation Problem for Disaster Response Operation With Type-2 Triangular Fuzzy Variables”. Hacettepe Journal of Mathematics and Statistics 45, no. 5 (October 2016): 1485-1518.
EndNote Baidya A, Bera UK, Maiti M (October 1, 2016) Multi-stage multi-objective solid transportation problem for disaster response operation with type-2 triangular fuzzy variables. Hacettepe Journal of Mathematics and Statistics 45 5 1485–1518.
IEEE A. Baidya, U. K. Bera, and M. Maiti, “Multi-stage multi-objective solid transportation problem for disaster response operation with type-2 triangular fuzzy variables”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, pp. 1485–1518, 2016.
ISNAD Baidya, Abhijit et al. “Multi-Stage Multi-Objective Solid Transportation Problem for Disaster Response Operation With Type-2 Triangular Fuzzy Variables”. Hacettepe Journal of Mathematics and Statistics 45/5 (October 2016), 1485-1518.
JAMA Baidya A, Bera UK, Maiti M. Multi-stage multi-objective solid transportation problem for disaster response operation with type-2 triangular fuzzy variables. Hacettepe Journal of Mathematics and Statistics. 2016;45:1485–1518.
MLA Baidya, Abhijit et al. “Multi-Stage Multi-Objective Solid Transportation Problem for Disaster Response Operation With Type-2 Triangular Fuzzy Variables”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, 2016, pp. 1485-18.
Vancouver Baidya A, Bera UK, Maiti M. Multi-stage multi-objective solid transportation problem for disaster response operation with type-2 triangular fuzzy variables. Hacettepe Journal of Mathematics and Statistics. 2016;45(5):1485-518.