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

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  • Xuejie Bai

Abstract

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.

Suggested Citation

  • Xuejie Bai, 2016. "Optimal Decisions for Prepositioning Emergency Supplies Problem with Type‐2 Fuzzy Variables," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:9275192
    DOI: 10.1155/2016/9275192
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    1. Burcu Balcik & Deniz Ak, 2014. "Supplier Selection for Framework Agreements in Humanitarian Relief," Production and Operations Management, Production and Operations Management Society, vol. 23(6), pages 1028-1041, June.
    2. Rawls, Carmen G. & Turnquist, Mark A., 2010. "Pre-positioning of emergency supplies for disaster response," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 521-534, May.
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