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Analysing queueing at toll plazas using a coupled, multiple-queue, queueing system model: application to toll plaza design

机译:使用耦合的多队列排队系统模型分析收费广场的排队:在收费广场设计中的应用

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摘要

A vehicle approaching a toll plaza observes the queues at each of the available toll-lanes before choosing which to join. This choice process, the arrival process of vehicles and the service characteristics of the toll-booths, affect the queues and delay the drivers. In this paper, queueing at a toll plaza is modelled as a multiple-queue queueing system where the arrival process to a queue (toll-lane) is dependent on the state of all the queues. In the past, such systems have been modelled mathematically only for two queues and are not applicable for toll plazas with three or more toll-lanes. The proposed model determines the steady-state probability density function (pdf) for the queues at large toll plazas. This study is used to determine the number of toll-lanes or the length of the upstream queueing area required to achieve certain user-specified levels-of-service. Expected delay and maximum queue length are used as level-of-service measures. Indicative design charts are also provided.
机译:接近收费站的车辆在选择要加入的收费站之前会观察每个可用收费通道的队列。这种选择过程,车辆的到达过程以及收费站的服务特性会影响排队并延误驾驶员。在本文中,收费站的排队被建模为多队列排队系统,其中到达队列(收费通道)的过程取决于所有队列的状态。过去,此类系统仅在数学上针对两个队列进行建模,不适用于具有三个或更多收费通道的收费广场。所提出的模型确定了在大通行费广场排队的稳态概率密度函数(pdf)。该研究用于确定实现某些用户指定的服务水平所需的收费通道数或上游排队区的长度。预期的延迟和最大队列长度用作服务水平度量。还提供了指示性设计图。

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