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考虑时变性与状态相关性的通道流体排队模型 预览

A Time-varying and State-dependent Fluid Queuing Model for Metro Station Corridor System
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摘要 将地铁车站通道系统描述为容量为C的可服务部分和容量无限的排队等待区域两部分,从系统的角度出发,考虑交通需求的随机时变性、服务能力的状态相关性及系统的随机性等实际交通特性,基于流体逼近的思想建立通道系统流体排队模型,用以捕捉系统动态性能及确定客流预警阈值。同时,改进现有固定点稳态流体逼近和数值积分算法实现模型的求解,该算法的计算复杂度仅为时间步长的线性函数。利用成都市地铁犀浦车站的调查数据,通过离散事件仿真建模对比验证模型的有效性。实验结果表明,无论交通需求强度如何变化,该排队模型与仿真结果的平均相对误差为4.94%,且获得的动态性能指标可捕捉任意时刻的队列累积及消散情况。 A metro station corridor system can be divided into two parts:a serviceable part with a capacity C and a queue waiting area with an infinite capacity.From the system perspective,considering actual traffic characteristics such as the time-varying demand,state-dependent service ability,and system randomness,a fluid queuing model of a corridor system is established based on the concept of fluid approximation,to capture the dynamic performance of the system and determine the warning threshold of passenger flow.At the same time,an existing pointwise stationary fluid flow approximation and a numerical integration algorithm are extended to solve the model.The computational complexity of the algorithm is only a linear function of the number of time slices.Based on the commuting data of the Xipu metro station in Chengdu,the validity of the model is verified by comparing its results with those obtained using a discrete event simulation model.Simulation experiments show that the proposed model and algorithm perform well with an average relative error of 4.94%regardless of the variations in traffic intensity.Moreover,the obtained dynamic performance measures can capture queue accumulation and dissipation at any time slice.
作者 马媛 赵斌 蒋阳升 MA Yuan;ZHAO Bin;JIANG Yang-sheng(School of Transportation and Logistics,Southwest Jiaotong University,Chengdu 611756,China;National Engineering Laboratory of Integrated Transportation Big Data Application Technology,Chengdu 611756,China)
出处 《交通运输工程与信息学报》 2019年第3期91-99,共9页 Journal of Transportation Engineering and Information
基金 国家自然科学基金资助项目(51578465)
关键词 城市交通 地铁车站通道系统 流体排队模型 状态相关性 动态性能分析 客流预警阈值 urban traffic metro station corridor system fluid queuing model state-dependent dynamic performance analysis passenger flow pre-warning threshold
作者简介 马媛(1995-),女,回族,宁夏石嘴山人,西南交通大学交通运输与物流学院硕士研究生,主要研究方向为轨道交通运营与规划管理;通信作者:蒋阳升(1976—),男,汉族,湖南衡阳人,西南交通大学交通运输与物流学院教授,博士生导师,主要研究方向为交通与物流系统规划与管理、智慧交通与交通大数据分析。
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