A Markov Chain Model for an EMS System with Repositioning

A Markov Chain Model for an EMS System with Repositioning
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DOI:
10.1111/j.1937-5956.2012.01362.x
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发表时间:
2013-01
影响因子:
5
通讯作者:
R. Alanis;Ármann Ingólfsson;Bora Kolfal
R. Alanis;Ármann Ingólfsson;Bora Kolfal
中科院分区:
管理学3区
文献类型:
--
作者:
R. Alanis;Ármann Ingólfsson;Bora Kolfal

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我们提出并分析了一个二维马尔可夫链模型的紧急医疗服务系统,重新定位救护车使用合规表政策,这是在实践中常用的。该模型通过固定点迭代求解。我们验证模型对几种情况下的详细仿真模型。我们证明,该模型提供了准确的近似各种系统的性能指标,如响应时间分布和分布的忙碌救护车的数量,它可以用来识别接近最优的合规表。我们的数值结果表明,性能在很大程度上取决于所使用的顺应性表,这表明选择一个设计良好的顺应性表的重要性。
We propose and analyze a two‐dimensional Markov chain model of an Emergency Medical Services system that repositions ambulances using a compliance table policy, which is commonly used in practice. The model is solved via a fixed‐point iteration. We validate the model against a detailed simulation model for several scenarios. We demonstrate that the model provides accurate approximations to various system performance measures, such as the response time distribution and the distribution of the number of busy ambulances, and that it can be used to identify near‐optimal compliance tables. Our numerical results show that performance depends strongly on the compliance table that is used, indicating the importance of choosing a well‐designed compliance table.