论文标题
高优先级的预期等待时间在延迟累积的优先级队列中,并申请了医疗保健KPIS
High-Priority Expected Waiting Times in the Delayed Accumulating Priority Queue with Applications to Health Care KPIs
论文作者
论文摘要
我们通过利用经典的保护法来进行延迟的APQ中的高优先级客户的预期等待时间提供了第一个分析表达式。此外,我们描述了一种算法,以计算低优先级和高优先级客户的预期等待时间,这仅需要在我们的实验中迅速收敛的总和。这些见解用于证明卫生保健从业人员应如何选择积累率和延迟水平以优化常见的关键绩效指标(KPI)。特别是,我们证明,对于某些非平凡的KPI,始终优先使用延迟为零的积累优先级队列。最后,我们对高优先级等待时间分布的指数近似质量进行了详细研究,我们用来优化对两个类别等待时间分布的排队参数的选择。
We provide the first analytical expressions for the expected waiting time of high-priority customers in the delayed APQ by exploiting a classical conservation law for work-conserving queues. Additionally, we describe an algorithm to compute the expected waiting times of both low-priority and high-priority customers, which requires only the truncation of sums that converge quickly in our experiments. These insights are used to demonstrate how the accumulation rate and delay level should be chosen by health care practitioners to optimize common key performance indicators (KPIs). In particular, we demonstrate that for certain nontrivial KPIs, an accumulating priority queue with a delay of zero is always preferable. Finally, we present a detailed investigation of the quality of an exponential approximation to the high-priority waiting time distribution, which we use to optimize the choice of queueing parameters with respect to both classes' waiting time distributions.