Queues with Choice via Delay Differential Equations
Queues with Choice via Delay Differential Equations
复制标题
通过延迟微分方程进行选择的队列
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Elizabeth Wesson
中科院分区：
文献类型：
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作者：
Jamol Pender;R. Rand;Elizabeth Wesson
延迟或队列长度信息可能会影响客户加入队列的决策。因此，排队系统的管理人员必须了解他们提供的信息将如何影响系统的性能。为此，我们构建并分析了两个二维确定性流体模型，该模型包含了基于延迟队列长度信息的客户选择行为。在第一个流体模型中，客户根据多项Logit模型加入每个队列，但是，客户收到的队列长度信息延迟了一个常数Δ。我们根据Δ的值证明了延迟会导致模型中的振荡或异步行为。在第二个模型中，客户通过队列长度的移动平均值接收有关队列长度的信息。虽然经验表明，给病人移动平均信息导致振荡和异步行为发生在美国医院，我们分析和…
Delay or queue length information has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of queueing systems to understand how the information that they provide will affect the performance of the system. To this end, we construct and analyze two two-dimensional deterministic fluid models that incorporate customer choice behavior based on delayed queue length information. In the first fluid model, customers join each queue according to a Multinomial Logit Model, however, the queue length information the customer receives is delayed by a constant Δ. We show that the delay can cause oscillations or asynchronous behavior in the model based on the value of Δ. In the second model, customers receive information about the queue length through a moving average of the queue length. Although it has been shown empirically that giving patients moving average information causes oscillations and asynchronous behavior to occur in U.S. hospitals, we analytically and ...