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Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq

To explain day-to-day (DTD) route-choice behaviors and traffic dynamics observed in a series of lab experiments, Part I of this research proposed a discrete choice-based analytical dynamic model (Qi et al., 2023). Although the deterministic…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

Traffic prediction is necessary not only for management departments to dispatch vehicles but also for drivers to avoid congested roads. Many traffic forecasting methods based on deep learning have been proposed in recent years, and their…

Machine Learning · Computer Science 2020-05-12 Jichen Wang , Weiguo Zhu , Yongqi Sun , Chunzi Tian

Origin-destination (OD) demand matrices are crucial for transit agencies to design and operate transit systems. This paper presents a novel temporal Bayesian model designed to estimate transit OD matrices at the individual bus-journey level…

Applications · Statistics 2024-11-28 Xiaoxu Chen , Zhanhong Cheng , Lijun Sun

The Biham-Middleton-Levine (BML) traffic model, a cellular automaton with east-bound and north-bound cars moving by turns on a square lattice, has been an underpinning model in the study of collective behaviour by cars, pedestrians and even…

Cellular Automata and Lattice Gases · Physics 2015-06-11 L. E. Olmos , J. D. Muñoz

The Origin-Destination~(OD) networks provide an estimation of the flow of people from every region to others in the city, which is an important research topic in transportation, urban simulation, etc. Given structural regional urban…

Machine Learning · Computer Science 2023-06-12 Can Rong , Jingtao Ding , Zhicheng Liu , Yong Li

This paper is concerned with a conservation law model of traffic flow on a network of roads, where each driver chooses his own departure time in order to minimize the sum of a departure cost and an arrival cost. The model includes various…

Analysis of PDEs · Mathematics 2016-03-28 Alberto Bressan , Ke Han

We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill-Whitham-Richards model where the velocity in each lane depends only on the density in the same lane. The model…

Analysis of PDEs · Mathematics 2018-12-05 Helge Holden , Nils Henrik Risebro

System-level decision making in transportation needs to understand day-to-day variation of network flows, which calls for accurate modeling and estimation of probabilistic dynamic travel demand on networks. Most existing studies estimate…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Wei Ma , Sean Qian

To improve the routing decisions of individual drivers and the management policies designed by traffic operators, one needs reliable estimates of travel time distributions. Since congestion caused by both recurrent patterns (e.g., rush…

Physics and Society · Physics 2022-10-13 Nikki Levering , Marko Boon , Michel Mandjes

We study numerically the behavior of the Biham-Middleton-Levine traffic model in three dimensions. Our extensive numerical simulations show that the phase diagram for this model in three dimensions is markedly different from that in one and…

Condensed Matter · Physics 2009-10-31 H. F. Chau , K. Y. Wan

Traffic congestion remains a major challenge for modern urban transportation, diminishing both efficiency and quality of life. While autonomous driving technologies and reinforcement learning (RL) have shown promise for improving traffic…

Multiagent Systems · Computer Science 2025-07-09 Muyang Fan , Songyang Liu , Shuai Li , Weizi Li

Dynamic origin-destination (OD) demand is central to transportation system modeling and analysis. The dynamic OD demand estimation problem (DODE) has been studied for decades, most of which solve the DODE problem on a typical day or several…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Wei Ma , Zhen , Qian

Public transportation system commuters are often interested in getting accurate travel time information to plan their daily activities. However, this information is often difficult to predict accurately due to the irregularities of road…

Machine Learning · Computer Science 2020-04-09 Ayobami E. Adewale , Amnir Hadachi

Long-term traffic modelling is fundamental to transport planning, but existing approaches often trade off interpretability, transferability, and predictive accuracy. Classical travel demand models provide behavioural structure but rely on…

Machine Learning · Computer Science 2026-03-30 Yue Li , Shujuan Chen , Akihiro Shimoda , Ying Jin

The emergence of data-driven demand analysis has led to the increased use of generative modelling to learn the probabilistic dependencies between random variables. Although their apparent use has mostly been limited to image recognition and…

Machine Learning · Statistics 2020-05-11 Melvin Wong , Bilal Farooq

Recent transportation network studies on uncertainty and reliability call for modeling the probabilistic O-D demand and probabilistic network flow. Making the best use of day-to-day traffic data collected over many years, this paper…

Methodology · Statistics 2024-12-20 Wei Ma , Zhen Qian

The paper presents an approach to estimate Origin-Destination (OD) flows and their path splits, based on traffic counts on links in the network. The approach called Compressive Origin-Destination Estimation (CODE) is inspired by Compressive…

Systems and Control · Computer Science 2014-07-23 Borhan M. Sanandaji , Pravin P. Varaiya

This paper studies how to integrate rider mode preferences into the design of On-Demand Multimodal Transit Systems (ODMTS). It is motivated by a common worry in transit agencies that an ODMTS may be poorly designed if the latent demand,…

Optimization and Control · Mathematics 2022-09-22 Beste Basciftci , Pascal Van Hentenryck

We consider a strongly coupled ODE-PDE system representing moving bottlenecks immersed in vehicular traffic. The PDE consists of a scalar conservation law modeling the traffic flow evolution and the ODE models the trajectory of a slow…

Analysis of PDEs · Mathematics 2018-01-16 Thibault Liard , Benedetto Piccoli