Sustainable facility location‐allocation problem under uncertainty
Sustainable facility location‐allocation problem under uncertainty
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DOI：
10.1002/cpe.4521
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发表时间：
2019-05
期刊：
影响因子：
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通讯作者：
Cheng Wang;Zhuo Hu;Ming Xie;Yuxiang Bian
中科院分区：
文献类型：
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作者：
Cheng Wang;Zhuo Hu;Ming Xie;Yuxiang Bian
研究了不确定环境下的可持续设施选址-分配问题，同时考虑了经济和可持续两个维度。在乐观值准则、悲观值准则和Hurwicz准则下，分别建立了三种置信度约束的数学模型，研究了该问题。导出了模型相应的明确决定式，并讨论了模型的几个性质。理论分析表明，模型的最优目标值关键取决于决策者给定的预定置信水平。此外，在置信度约束的Hurwicz准则模型中，问题的总代价随着Hurwicz系数的增大而减小。为了评估我们的新模型的性能，进行了几个数值例子。数值结果是通过使用标准的优化软件LINGO。
This paper addresses a sustainable facility location‐allocation problem under uncertain environment with considering economic and sustainable dimensions simultaneously. We establish three types of belief degree constrained mathematical models to investigate the problem under the optimistic value criterion, the pessimistic value criterion, and the Hurwicz criterion. The corresponding crisp determinants of the models are derived, and several properties of the models are also discussed. The theoretical analysis demonstrates that the optimal objective values of the models crucially depend on the predetermined confidence level given by decision makers. What's more, the total cost of the problem in the belief degree constrained Hurwicz criterion model decreases as Hurwicz coefficient becomes larger. To evaluate the performance of our novel models, several numerical examples are conducted. The numerical results are obtained by using the standard optimization software LINGO.