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Study on the Calculation Models of Bus Delay at Bays Using Queueing Theory and Markov Chain

机译:基于排队论和马尔可夫链的海湾客车延误计算模型研究。

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摘要

Traffic congestion at bus bays has decreased the service efficiency of public transit seriously in China, so it is crucial to systematically study its theory and methods. However, the existing studies lack theoretical model on computing efficiency. Therefore, the calculation models of bus delay at bays are studied. Firstly, the process that buses are delayed at bays is analyzed, and it was found that the delay can be divided into entering delay and exiting delay. Secondly, the queueing models of bus bays are formed, and the equilibrium distribution functions are proposed by applying the embedded Markov chain to the traditional model of queuing theory in the steady state; then the calculation models of entering delay are derived at bays. Thirdly, the exiting delay is studied by using the queueing theory and the gap acceptance theory. Finally, the proposed models are validated using field-measured data, and then the influencing factors are discussed. With these models the delay is easily assessed knowing the characteristics of the dwell time distribution and traffic volume at the curb lane in different locations and different periods. It can provide basis for the efficiency evaluation of bus bays.
机译:公交车站的交通拥堵严重降低了中国公交的服务效率,因此系统地研究公交的理论和方法至关重要。但是,现有研究缺乏计算效率的理论模型。因此,研究了海湾公交车延误的计算模型。首先,分析了公交车在港区的延误过程,发现延误可分为入港延误和出港延误。其次,形成了公交车站排队模型,通过将嵌入的马尔可夫链应用于稳态的传统排队理论模型,提出了平衡分配函数。然后进入间隔计算模型。第三,利用排队论和间隙接受理论研究了退出时延。最后,利用实测数据对提出的模型进行了验证,然后讨论了影响因素。使用这些模型,可以知道在不同位置和不同时段的路缘车道上的停留时间分布和交通量的特征,从而轻松评估延迟。它可以为评估公交车厢的效率提供依据。

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