面向非标准到达过程的多服务器系统人员配备（CS P）---蔡秋纯

服务系统的到达过程通常显示（i）大于预期的波动，（ii）时变率和（iii）时间相关性。因此，我们引入了一种结合了这三个特征的特定非均匀泊松过程。最终的到达过程将输入到无限服务器系统中，然后将其用作多服务器副本的代理。这导致了基于平方根人员编制原则的人员编制规则，该原则承认了三个功能。在时隙上对服务器稍作重新排列后，即使在高度变化和高度相关的条件下，我们也成功稳定了系统性能。我们将到达流模型与来自急诊部门的真实数据进行拟合，并（通过模拟）演示新颖的人员配备规则的性能。

原文标题：Staffing for many-server systems facing non-standard arrival processes

原文：Arrival processes to service systems often display (i) larger than anticipated fluctuations, (ii) a time-varying rate, and (iii) temporal correlation. Motivated by this, we introduce a specific non-homogeneous Poisson process that incorporates these three features. The resulting arrival process is fed into an infinite-server system, which is then used as a proxy for its many-server counterpart. This leads to a staffing rule based on the square-root staffing principle that acknowledges the three features. After a slight rearrangement of servers over the time slots, we succeed to stabilize system performance even under highly varying and strongly correlated conditions. We fit the arrival stream model to real data from an emergency department and demonstrate (by simulation) the performance of the novel staffing rule.

原文作者：M. Heemskerk, M. Mandjes, B. Mathijsen

原文地址：https://arxiv.org/abs/2006.00515