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On the relation between the mean and variance of delay in dynamic queues with random capacity and demand

机译：容量和需求随机的动态队列中延迟均值与方差之间的关系

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This paper investigates the distribution of delays during a repeatedly occurring demand peak in a congested facility with random capacity and demand, such as an airport or an urban road. Congestion is described in the form of a dynamic queue using the Vickrey bottleneck model and assuming Nash equilibrium in arrival times. The paper shows that the expected delay and the variance of delay vary differently over time during the peak and must hence be considered separately. The paper gives some characterization of how the expected delay and the variance of delay are related, which explain the looping phenomenon that has now been observed a number of times. Empirical illustration is provided.
机译：本文研究在容量和需求随机的拥挤设施（例如机场或城市道路）中，重复出现的需求高峰期间的延迟分布。使用Vickrey瓶颈模型并假设到达时间达到纳什均衡，以动态队列的形式描述拥塞。该文件显示，在峰值期间，预期的延迟和延迟的方差会随时间变化，因此必须单独考虑。本文对预期延迟和延迟方差之间的关系进行了一些表征，从而解释了现已观察到许多次的循环现象。提供了经验说明。

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