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arXiv 2006.00515cs.PFmath.PR
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面临非标准抵达流程的多服务器系统的人员配置

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

M. Heemskerk, M. Mandjes, B. Mathijsen

摘要:

到达服务系统的过程通常显示(i)大于预期的波动,(ii)随时间变化的速率,以及(iii)时间相关性。出于这一点,我们引入了一个特定的非齐次泊松过程,结合这三个功能。最终的到达过程被送入一个无限服务器系统,然后该系统被用作其多服务器系统的代理。这导致了一个基于平方根人员配置原则的人员配置规则,该原则承认这三个特征。经过轻微的重新安排服务器的时隙,我们成功地稳定系统性能,即使在高度变化和强相关的条件下。我们适合的到达流模型,从急诊科的真实数据,并证明(通过模拟)的新的人员配置规则的性能。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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