Time-Varying Queues
Time-Varying Queues
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发表时间：
2018
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通讯作者：
W. Whitt
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作者：
W. Whitt
服务系统中存在大量的队列，但最自然的直接模型通常是时变队列，这可能需要超越随机教科书的非标准分析方法。本文对时变排队系统进行了综述。最近的大多数文献关注多服务器队列，这出现在大规模的服务系统中，例如在客户联络中心和医院急诊室，但是也有一些关于具有时变到达的单服务器队列的新工作，这出现在某些设置中，例如飞机即将降落在机场，来到交通路口的汽车和等待医院特殊手术室的医务人员。多服务器队列和单服务器队列的理解是加强了繁忙的交通限制，这已经扩展到时变模型以及平稳模型。
: Service systems abound with queues, but the most natural direct models are often time-varying queues, which may require nonstandard analysis methods beyond stochastic textbooks. This paper provides an overview of time-varying queues. Most of the recent literature concerns many-server queues, which arise in large-scale service systems, such as in customer contact centers and hospital emergency departments, but there also has been some new work on single-server queues with time-varying arrivals, which arise in some settings, such as airplanes coming to land at an airport, cars coming to a traffic intersection and medical staff waiting for the availability of special operating rooms in a hospital. The understanding of many-server queues and single-server queues is enhanced by heavy-traffic limits, which have been extended to time-varying models as well as stationary models.