A game theoretic model of the behavioural gaming that takes place at the EMS - ED interface

A game theoretic model of the behavioural gaming that takes place at the EMS - ED interface
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DOI:
10.1016/j.ejor.2022.07.001
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发表时间:
2022-07
期刊:
Eur. J. Oper. Res.
影响因子:
--
通讯作者:
M. Panayides;Vince Knight;Paul Harper
M. Panayides;Vince Knight;Paul Harper
中科院分区:
其他
文献类型:
--
作者:
M. Panayides;Vince Knight;Paul Harper

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本研究描述了一个三人博弈理论模型的发展和应用之间的两个共享系统和一个服务,分配个人给他们。由此产生的模型用于探索所有参与者之间的动态。这项工作的第一个方面是开发一个具有两个连续等待空间的排队系统,其中战略管理行为对应于个人如何使用这些等待空间。两种建模技术部署:离散事件模拟和马尔可夫链。马尔可夫链系统的状态概率用于提取排队模型的性能度量(例如,每个等候室的平均时间,每个房间中的平均个体数等)。随后提出了一个三人博弈模型之间的两个系统和服务,分配个人给他们。特别地,这可以被看作是一个2人正规形式的游戏,其中效用由具有自己的策略和目标的第三个玩家确定。利用逆向归纳法,得到了两个博弈系统之间的正规型博弈的效用。该特定系统具有许多应用,包括在医疗保健中的那些应用,其中它捕获紧急医疗服务(EMS)和急诊部(艾德)之间的紧急行为。本文探讨了时间目标措施对患者幸福感的影响。
This research describes the development and application of a 3-player game theoretic model between two queueing systems and a service that distributes individuals to them. The resultant model is used to explore dynamics between all players. The first aspect of this work is the development of a queueing system with two consecutive waiting spaces where the strategic managerial behaviour corresponds to how individuals use these waiting spaces. Two modelling techniques are deployed: discrete event simulation and Markov chains. The state probabilities of the Markov chain system are used to extract the performance measures of the queueing model (e.g. mean time in each waiting room, mean number of individuals in each room, etc.). A 3-player game theoretic model is subsequently proposed between the two queueing systems and the service that distributes individuals to them. In particular this can be viewed as a 2-player normal-form game where the utilities are determined by a third player with its own strategies and objectives. A backwards induction technique is used to get the utilities of the normal-form game between the two queueing systems. This particular system has many applications, including those in healthcare where it captures the emergent behaviour between the Emergency Medical Service (EMS) and the Emergency Department (ED). The impact of time-target measures on patient well-being is explored in this paper.