考虑列车-乘客交互的城市轨道交通基本图
Fundamental diagram of urban rail transit considering train-passenger interaction
AI总结：
本文提出了一种考虑列车-乘客交互的城市轨道交通简单但物理且动态模型，通过推导基本图并开发宏观模型来分析动态交通分配，通过与微观模拟比较验证模型准确性，为轨道交通管理策略的数学分析提供了新方法。
摘要：
城市轨道交通在高峰时段通常以高服务频率运营以满足大量乘客需求，但这种运营可能受到两种拥堵类型的影响：列车拥堵和乘客拥堵，二者相互作用。这种延迟对许多公共交通系统来说是个问题，因为交互作用会放大延迟。然而，目前缺乏可处理的模型来描述这些现象，这使得一般拥堵公共交通系统的管理策略分析变得困难。为填补这一空白，本文提出了一种简单但物理且动态的城市轨道交通模型。首先，推导了考虑上述物理交互的公共交通系统基本图（即列车流量、列车密度和乘客流量之间的理论关系）。然后，基于基本图开发了公共交通系统的宏观模型，用于动态交通分配。最后，通过与微观模拟比较验证了宏观模型的准确性。所提出的模型对城市轨道交通管理策略的数学分析具有帮助，类似于城市交通的宏观基本图。
英文摘要：
Urban rail transit often operates with high service frequencies to serve heavy passenger demand during rush hours. Such operations can be delayed by two types of congestion: train congestion and passenger congestion, both of which interact with each other. This delay is problematic for many transit systems, since it can be amplified due to the interaction. However, there are no tractable models describing them; and it makes difficult to analyze management strategies of congested transit systems in general and tractable ways. To fill this gap, this article proposes simple yet physical and dynamic model of urban rail transit. First, a fundamental diagram of transit system (i.e., theoretical relation among train-flow, train-density, and passenger-flow) is analytically derived considering the aforementioned physical interaction. Then, a macroscopic model of transit system for dynamic transit assignment is developed based on the fundamental diagram. Finally, accuracy of the macroscopic model is investigated by comparing to microscopic simulation. The proposed models would be useful for mathematical analysis on management strategies of urban rail transit systems, in a similar way that the macroscopic fundamental diagram of urban traffic did.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
