Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy Variables

Prepositioning emergency supplies serves an important function in disaster relief operations. This paper presents a new class of fuzzy prepositioning emergency supplies model for three-echelon humanitarian logistics network, in which the postdisaster acquisition and transportation costs, the supplie...

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Main Author: Xuejie Bai
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/9275192
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spelling doaj-87c6d3d4dd494c989ab2165c6a1c1b5e2020-11-24T22:24:25ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/92751929275192Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy VariablesXuejie Bai0College of Science, Hebei Agricultural University, Baoding, Hebei 071001, ChinaPrepositioning emergency supplies serves an important function in disaster relief operations. This paper presents a new class of fuzzy prepositioning emergency supplies model for three-echelon humanitarian logistics network, in which the postdisaster acquisition and transportation costs, the suppliers’ supply, and affected areas’ demand are uncertain and characterized by type-2 fuzzy variables with known possibility distributions. Since the inherent complexity of fuzzy prepositioning problem may be troublesome, the existing methods are no longer effective in dealing with the proposed model directly. We first derive the optimistic and pessimistic values formula for credibility value-at-risk (CVaR) reduced fuzzy variable of type-2 trapezoidal fuzzy variable. On the basis of formula obtained, we can convert original fuzzy prepositioning model into its equivalent parametric mixed integer programming form, which can be solved by conventional algorithms or general-purpose software. Finally, some numerical experiments have been performed to illustrate the effectiveness of the proposed model and solution strategy.http://dx.doi.org/10.1155/2016/9275192
collection DOAJ
language English
format Article
sources DOAJ
author Xuejie Bai
spellingShingle Xuejie Bai
Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy Variables
Discrete Dynamics in Nature and Society
author_facet Xuejie Bai
author_sort Xuejie Bai
title Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy Variables
title_short Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy Variables
title_full Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy Variables
title_fullStr Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy Variables
title_full_unstemmed Optimal Decisions for Prepositioning Emergency Supplies Problem with Type-2 Fuzzy Variables
title_sort optimal decisions for prepositioning emergency supplies problem with type-2 fuzzy variables
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2016-01-01
description Prepositioning emergency supplies serves an important function in disaster relief operations. This paper presents a new class of fuzzy prepositioning emergency supplies model for three-echelon humanitarian logistics network, in which the postdisaster acquisition and transportation costs, the suppliers’ supply, and affected areas’ demand are uncertain and characterized by type-2 fuzzy variables with known possibility distributions. Since the inherent complexity of fuzzy prepositioning problem may be troublesome, the existing methods are no longer effective in dealing with the proposed model directly. We first derive the optimistic and pessimistic values formula for credibility value-at-risk (CVaR) reduced fuzzy variable of type-2 trapezoidal fuzzy variable. On the basis of formula obtained, we can convert original fuzzy prepositioning model into its equivalent parametric mixed integer programming form, which can be solved by conventional algorithms or general-purpose software. Finally, some numerical experiments have been performed to illustrate the effectiveness of the proposed model and solution strategy.
url http://dx.doi.org/10.1155/2016/9275192
work_keys_str_mv AT xuejiebai optimaldecisionsforprepositioningemergencysuppliesproblemwithtype2fuzzyvariables
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