2017/08/07 by Toru Seo, Seo, Toru, Kentaro Wada +3
Engineering · Social Sciences · #FOS: Computer and information sciences #FOS: Electrical engineering #Multiagent Systems (cs.MA) #Railway Systems and Energy Efficiency #Systems and Control (eess.SY) #Traffic Prediction and Management Techniques #Transportation Planning and Optimization #electronic engineering #information engineering
paper · doi:10.48550/arxiv.1708.02147
openalex publication_date 2017/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.