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This paper uses supervised learning, random search and deep reinforcement learning (DRL) methods to control large signalized intersection networks. The traffic model is Cellular Automaton rule 184, which has been shown to be a…

Artificial Intelligence · Computer Science 2025-04-07 Jorge A. Laval , Hao Zhou

Leveraging the concept of the macroscopic fundamental diagram (MFD), perimeter control can alleviate network-level congestion by identifying critical intersections and regulating them effectively. Considering the time-varying nature of…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Can Chen , Yunping Huang , Hongwei Zhang , Shimin Wang , Martin Guay , Shu-Chien Hsu , Renxin Zhong

In this paper, we reveal the relationship between entropy rate and the congestion in complex network and solve it analytically for special cases. Finding maximizing entropy rate will lead to an improvement of traffic efficiency, we propose…

Physics and Society · Physics 2017-09-15 Yuhang Fan , Hanyuan Liu , Shibo He

This study addresses the urban transit pattern design problem, optimizing stop sequences, headways, and fleet sizes across multiple routes and periods simultaneously to minimize user costs (composed of riding, waiting, and transfer times)…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Max T. M. Ng , Draco Tong , Hani S. Mahmassani , Omer Verbas , Taner Cokyasar

We propose a stochastic model for the intersection of two urban streets. The traffic state at the crossroads is controlled by a set of traffic lights, which periodically switch to red and green with a total period of T. Vehicular dynamics…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Nima Hamedani Radja

Urban rail transit provides significant comprehensive benefits such as large traffic volume and high speed, serving as one of the most important components of urban traffic construction management and congestion solution. Using real…

Machine Learning · Computer Science 2023-05-05 Yiming Hu , Yangchuan Huang , Shuying Liu , Yuanyang Qi , Danhui Bai

We propose a framework for constructing microscopic traffic models from microscopic acceleration patterns that can in principle be experimental measured and proper averaged. The exact model thus obtained can be used to justify the…

Adaptation and Self-Organizing Systems · Physics 2015-04-07 Bo Yang , Xihua Xu , John Z. F. Pang , Christopher Monterola

A class of queueing networks which may have an arbitrary topology, and consist of single-server fork-join nodes with both infinite and finite buffers is examined to derive a representation of the network dynamics in terms of max-plus…

Optimization and Control · Mathematics 2012-12-05 Nikolai K. Krivulin

This paper presents a rigorous analytical model of traffic dynamics on a circular track, demonstrating the emergence of standing oscillations resulting from microscopic driver behaviour, delay responses, and proximity pressure. Without…

Adaptation and Self-Organizing Systems · Physics 2025-07-10 Craig S Wright

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a…

Dynamical Systems · Mathematics 2013-07-31 Wen-Long Jin

This paper develops boundary feedback control laws in order to damp out traffic oscillations in the congested regime of the linearized two-class Aw-Rascle (AR) traffic model. The macroscopic second-order two-class AR traffic model consists…

Optimization and Control · Mathematics 2019-05-17 Mark Burkhardt , Huan Yu , Miroslav Krstic

Traffic congestion has lead to an increasing emphasis on management measures for a more efficient utilization of existing infrastructure. In this context, this paper proposes a novel framework that integrates real-time optimization of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Samarth Gupta , Ravi Seshadri , Bilge Atasoy , A. Arun Prakash , Francisco Pereira , Gary Tan , Moshe Ben-Akiva

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

Statistical Mechanics · Physics 2009-11-10 Dirk Helbing

It is known that autonomous cars can increase road capacities by maintaining a smaller headway through vehicle platooning. Recent works have shown that these capacity increases can influence vehicles' route choices in unexpected ways…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Xiaoyu Ma , Negar Mehr

We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equations. We also show that the non-local transport equations…

Analysis of PDEs · Mathematics 2019-02-12 Umberto Biccari , Dongnam Ko , Enrique Zuazua

Robust travel time predictions are of prime importance in managing any transportation infrastructure, and particularly in rail networks where they have major impacts both on traffic regulation and passenger satisfaction. We aim at…

Machine Learning · Computer Science 2023-12-22 Farid Arthaud , Guillaume Lecoeur , Alban Pierre

A key measure of performance and comfort in a road traffic network is the travel time that the users of the network experience to complete their journeys. Travel times on road traffic networks are stochastic, highly variable, and dependent…

Dynamical Systems · Mathematics 2014-08-18 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

While bringing convenience to people, the growing number of vehicles on road already cause inevitable traffic congestion. Some traffic congestion happen with observable reasons, but others occur without apparent reasons or bottlenecks,…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Jiancheng Fang , Yu Xiang , Yu Huang , Yilong Cui , Wenyong Wang
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