Staffing large-scale service systems with distributional uncertainty
Staffing large-scale service systems with distributional uncertainty
复制标题
为具有分布不确定性的大规模服务系统配备人员
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
J. Hasenbein
中科院分区：
文献类型：
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作者：
Ying Chen;J. Hasenbein
本文分析了大型单站装配系统的人员配备问题。系统管理员操作一个Erlang-C排队系统，该系统具有对顾客排队概率的服务质量约束。然而，在这个模型中，到达率是不确定的，甚至到达率分布是不完全知道的经理。相反，管理者对到达率分布和均值的支持度有一个估计。目标是确定满足服务质量约束所需的服务器数量。两个案例进行了探讨。首先，约束是强制执行的整体延迟概率，给定的概率，不同的可行的到达率分布被选择。在第二种情况下，每个可能的分布都必须满足约束。对于这两个问题，渐近最优解的开发基于Halfin-Whitt型缩放。
This paper analyzes a staffing level problem for large-scale single-station queueing systems. The system manager operates an Erlang-C queueing system with a quality-of-service constraint on the probability that a customer is queued. However, in this model, the arrival rate is uncertain in the sense that even the arrival-rate distribution is not completely known to the manager. Rather, the manager has an estimate of the support of the arrival-rate distribution and the mean. The goal is to determine the number of servers needed to satisfy the quality-of-service constraint. Two cases are explored. First, the constraint is enforced on an overall delay probability, given the probability that different feasible arrival-rate distributions are selected. In the second case, the constraint has to be satisfied by every possible distribution. For both problems, asymptotically optimal solutions are developed based on Halfin–Whitt type scalings.