论文标题

面临非标准到达流程的多个服务器系统的人员配备

Staffing for many-server systems facing non-standard arrival processes

论文作者

Heemskerk, M., Mandjes, M., Mathijsen, B.

论文摘要

到达服务系统的到达过程通常显示(i)比预期的波动大,(ii)随时间变化的速率和(iii)时间相关。在此激励的情况下,我们引入了一个特定的非均匀泊松过程,其中包含了这三个功能。最终的到达过程被馈入无限的服务器系统,然后将其用作其多个服务器对应物的代理。这导致了基于正方根人员配备原则的人员配备规则,该原则承认这三个功能。在时间插槽中稍微重新排列服务器后,即使在高度变化和强烈相关的条件下,我们也能够稳定系统性能。我们将到达流模型符合急诊科的真实数据,并(通过模拟)新型人员配置规则的性能。

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.

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