Optimal Strategy in Queueing Systems in Emergency Department

Zeng Hui, Tian Ruiling, Liu Yupeng and Hou Yumei
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Zeng Hui: College of Economics and Management, College of Science, Yanshan University, Qinhuangdao, China
Tian Ruiling: College of Science, Yanshan University, Qinhuangdao, China
Liu Yupeng: First Hospital of QINHUANGDAO, Qinhuangdao, China
Hou Yumei: College of Economics and Management, Yanshan University, Qinhuangdao, China

International Journal of Information Technology and Web Engineering (IJITWE), 2018, vol. 13, issue 1, 69-80

Abstract: The authors' study a noncooperative game problem for queueing control in emergency department (ED). One of the challenges to emergency department (ED) is the control of the urgent patients and the non-urgent patients. The urgent patient which is the primary customer, can be considered as the service interruption in a queueing system. The service interruptions occur frequently and can incur significant delays for the non-urgent patients. Therefore, a non-urgent patient needs to decide whether to join the queue or leave. The scenario is modeled as an M/M/1 queueing game with server interruption where each patient wants to optimize his benefit. It is shown that the individually optimal strategy for joining the queue is characterized by a threshold of queue length. The socially optimal threshold of queue length is also obtained. To bridge the gap between the individually and socially optimal strategies, a pricing mechanism is proposed to toll the service of each non-urgent patient, thus equalizing the two optimal strategies.

Date: 2018
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