Infinite-server queueing models of demand in healthcare: A review of applications and ideas for further work

Infinite-server queueing models of demand in healthcare: A review of applications and ideas for further work
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医疗保健需求的无限服务器排队模型:对进一步工作的应用程序和想法的回顾

DOI:
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发表时间:
2020
影响因子:
3.6
通讯作者:
D. Suen
D. Suen
中科院分区:
管理学4区
文献类型:
--
作者:
D. Worthington;M. Utley;D. Suen

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尽管无限资源的假设显然不切实际,但无限服务排队模型在排队理论及其应用的发展中发挥了核心作用。医疗保健建模应用程序肯定从这些模型中受益,在这些模型中,可以说它们最重要的是为分析具有单个或多个节点、多个服务器和时变到达的系统中的“提供负载”提供了基础。在这篇文章中,我们提供了到目前为止主要的医疗保健应用的回顾,确定和巩固了基础的理论结果,并对应用的性质进行了评论。最后,我们确定了潜在的进一步医疗保健应用,它们与现有理论和方法的关系,以及对新理论和方法的需求,包括使用无限服务器模型和其他建模方法。
Abstract Despite the apparently unrealistic assumption of infinite resources, infinite-server queueing models have played a central role in the development of queueing theory and its applications. Healthcare modelling applications have certainly benefited from these models, where arguably their greatest importance has been to provide the basis for the analysis of “offered load” in systems with single or multiple nodes with multiple servers and time-varying arrivals. In this paper, we provide a review of major healthcare applications to date, identifying and consolidating the underpinning theoretical results and commenting on the nature of the applications. We conclude by identifying potential further healthcare applications, their relationships to existing theory and methods, and the need for new theory and methods, including the use of infinite-server models alongside other modelling methodologies.