An M/M/1 and M/M/2 queuing solution to improve virtual scheduling in healthcare

A. Wang, Shiheng Guan, Kai S. Koong, L. Koong
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Abstract

More and more hospitals and healthcare providers are using virtual queues to better schedule patients. By participating in virtual queues, patients can avoid the prolonged and unpredictable waiting times at healthcare facilities. However, as long as there is a queue, patients will still experience frustration and fear with making the wrong decision during their waiting period. Using queuing theory, this paper provides a virtual queuing system (M/M/1 and M/M/2 models) that incorporates an added service feature that can reduce frustration, minimise fear and improve the delivery of e-healthcare. Two additional potential benefits that can accrue from this proposed virtual system are job creation and revenue generation.
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改善医疗保健中的虚拟调度的M/M/1和M/M/2队列解决方案
越来越多的医院和医疗保健提供商正在使用虚拟队列来更好地安排患者。通过参与虚拟队列,患者可以避免在医疗机构长时间和不可预测的等待时间。然而,只要排队,患者仍然会因为在等待期间做出错误的决定而感到沮丧和恐惧。利用排队理论,本文提供了一个虚拟排队系统(M/M/1和M/M/2模型),该系统包含了一个附加的服务功能,可以减少挫败感,最大限度地减少恐惧,并改善电子医疗保健的交付。这一虚拟系统所带来的另外两个潜在好处是创造就业机会和创收。
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