Two-stage multiobjective optimization for emergency supplies allocation problem under integrated uncertainty
type: Item
instance of: scholarly article
title: Two-stage multiobjective optimization for emergency supplies allocation problem under integrated uncertainty
zbMATH Open document ID: 1400.90268
DOI: 10.1155/2016/2823835
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper proposes a new two-stage optimization method for emergency supplies allocation problem with multisupplier, multiaffected area, multirelief, and multivehicle. The triplet of supply, demand, and the availability of path is unknown prior to the extraordinary event and is descriptive with fuzzy random variable. Considering the fairness, timeliness, and economical efficiency, a multiobjective expected value model is built for facility location, vehicle routing, and supply allocation decisions. The goals of proposed model aim to minimize the proportion of demand nonsatisfied and response time of emergency reliefs and the total cost of the whole process. When the demand and the availability of path are discrete, the expected values in the objective functions are converted into their equivalent forms. When the supply amount is continuous, the equilibrium chance in the constraint is transformed to its equivalent one. To overcome the computational difficulty caused by multiple objectives, a goal programming model is formulated to obtain a compromise solution. Finally, an example is presented to illustrate the validity of the proposed model and the effectiveness of the solution method.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 90B85
Mathematics Subject Classification ID: 90B06
Mathematics Subject Classification ID: 90C15
zbMATH DE Number: 6952971
author: Xue-Jie Bai
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2823835
OpenAlex ID: W2343098676
Wikidata QID: Q59130744
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description: scientific article; zbMATH DE number 6952971