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Robust Optimization Model for Bi-objective Emergency Medical Service Design Problem with Demand Uncertainty

机译:需求不确定性的双目标紧急医疗服务设计问题鲁棒优化模型

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摘要

Bi-objective Emergency Medical Service Design Problem is a problem to determining the location of the station Emergency Medical Service among all candidate station location, the determination of the number of emergency vehicles allocated to stations being built so as to serve medical demand. This problem is a multi-objective problem that has two objective functions that minimize cost and maximize service. In real case there is often uncertainty in the model such as the number of demand. To deal the uncertainty on the bi-objective emergency medical service problem is using Robust Optimization which gave optimal solution even in the worst case. Model Bi-objective Emergency Medical Service Design Problem is formulated using Mixed Integer Programming. In this research, Robust Optimization is formulated for Bi-objective Emergency Medical Service Design Problem through Robust Counterpart formulation by assuming uncertainty in demand is box uncertainty and ellipsoidal uncertainty set. We show that in the case of bi-objective optimization problem, the robust counterpart remains computationally tractable. The example is performed using Lexicographic Method and Branch and Bound Method to obtain optimal solution.
机译:双目标紧急医疗服务设计问题是确定所有候选站位置中站应急医疗服务的位置的问题,确定分配给车站的紧急车辆的数量以便为医疗需求提供服务。此问题是一个多目标问题,具有两个目标功能,可最大限度地降低成本和最大化服务。在实际情况下,在诸如需求次数之类的模型中通常存在不确定性。为了应对双目标紧急医疗服务问题的不确定性,使用稳健的优化,即使在最坏的情况下也能提供最佳解决方案。模型使用混合整数规划配制了双目标紧急医疗服务设计问题。在该研究中,通过稳健的对应于配方通过假设需求不确定性是框不确定性和椭圆形不确定性集的稳健对手配方,配制了鲁棒优化。我们表明,在双目标优化问题的情况下,稳健的对应物仍然是计算易行的。使用词典方法和分支和绑定方法来执行该示例以获得最佳解决方案。

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