Fundamental diagram of urban rail transit considering train–passenger interaction
Document Type
Journal Article
Publication Date
2023
Subject Area
place - urban, mode - rail, economics - pricing, operations - capacity, planning - travel demand management, planning - methods
Keywords
Public transport, Rush hour, Fundamental diagram, Macroscopic fundamental diagram, Dynamic transit assignment
Abstract
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, such as optimal dynamic pricing for travel demand management.
Rights
Permission to publish the abstract has been given by SpringerLink, copyright remains with them.
Recommended Citation
Seo, T., Wada, K. & Fukuda, D. (2023). Fundamental diagram of urban rail transit considering train–passenger interaction. Transportation 50, 1399–1424.
