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We consider the steady-state distribution of the sojourn time of a job entering an M/GI/1 queue with the foreground-background scheduling policy in heavy traffic. The growth rate of its mean, as well as the limiting distribution, are…

Probability · Mathematics 2017-12-12 Bart Kamphorst , Bert Zwart

We present Thinking While Driving, a concurrent routing framework that integrates LLMs into a graph-based traffic environment. Unlike approaches that require agents to stop and deliberate, our system enables LLM-based route planning while…

Multiagent Systems · Computer Science 2025-12-12 Xiaopei Tan , Muyang Fan

Anticipation in traffic means that drivers estimate their leaders' velocities for future timesteps. In the article a specific stochastic car--following model with non--unique flow--density relation is investigated with respect to…

Statistical Mechanics · Physics 2009-11-10 Nils Eissfeldt , Peter Wagner

This paper aims to the conditions of traffic flow evolving to stability and the stability of equilibrium under demand time-varying of traffic networks. The general framework of the evolution of flow dynamics by adopting evolutionary game…

Physics and Society · Physics 2018-07-26 Xingguang Chen

Many-particle simulations of vehicle interactions have been quite successful in the qualitative reproduction of observed traffic patterns. However, the assumed interactions could not be measured, as human interactions are hard to quantify…

Statistical Mechanics · Physics 2009-11-10 Milan Krbalek , Dirk Helbing

Traffic flow prediction is an important research issue for solving the traffic congestion problem in an Intelligent Transportation System (ITS). Traffic congestion is one of the most serious problems in a city, which can be predicted in…

Artificial Intelligence · Computer Science 2017-09-26 Yuanfang Chen , Mohsen Guizani , Yan Zhang , Lei Wang , Noel Crespi , Gyu Myoung Lee

When there are significant service disruptions in public transit systems, passengers usually need guidance to find alternative paths. This paper proposes a path recommendation model to mitigate congestion during public transit disruptions.…

Optimization and Control · Mathematics 2025-05-20 Baichuan Mo , Haris N. Koutsopoulos , Max Zuo-Jun Shen , Jinhua Zhao

Reinforcement learning (RL) holds significant promise for adaptive traffic signal control. While existing RL-based methods demonstrate effectiveness in reducing vehicular congestion, their predominant focus on vehicle-centric optimization…

Machine Learning · Computer Science 2025-07-24 Bibek Poudel , Xuan Wang , Weizi Li , Lei Zhu , Kevin Heaslip

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

Numerical Analysis · Mathematics 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp

Inter-city highway transportation is significant for citizens' modern urban life and generates heterogeneous sensory data with spatio-temporal characteristics. As a routine analysis in transportation domain, daily traffic volume estimation…

Machine Learning · Computer Science 2023-08-14 Weilong Ding , Tianpu Zhang , Zhe Wang

We have revealed general physical conditions for the {\it maximization} of the network throughput at which free flow conditions are ensured, i.e., traffic breakdown cannot occur in the whole traffic or transportation network. A physical…

Physics and Society · Physics 2016-06-15 Boris S. Kerner

In this paper, we aim to mitigate congestion in traffic management systems by guiding travelers along system-optimal (SO) routes. However, we recognize that most theoretical approaches assume perfect driver compliance, which often does not…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Heeseung Bang , Jung-Hoon Cho , Cathy Wu , Andreas A. Malikopoulos

We develop a Markovian traffic equilibrium model for ride-hailing in which vehicles, whether empty or hired, make sequential order-acceptance and link-choice decisions over a traffic network to maximize total discounted return in an…

Computer Science and Game Theory · Computer Science 2026-04-24 Song Gao , Hanyu Cheng , Chiwei Yan , Guocheng Jiang

Nowadays, traffic monitoring systems have access to real time data, e.g. through GPS devices. We propose a new traffic model able to take into account these data and, hence, able to describe the effects of unpredictable accidents. The well…

Analysis of PDEs · Mathematics 2014-11-11 Rinaldo M. Colombo , Francesca Marcellini

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

The quest for optimal/stable paths in graphs has gained attention in a few practical or theoretical areas. To take part in this quest this chapter adopts an equilibrium-oriented approach that is abstract and general: it works with…

Computer Science and Game Theory · Computer Science 2007-12-11 Stéphane Le Roux

Autonomous driving requires reasoning about interactions with surrounding traffic. A prevailing approach is large-scale imitation learning on expert driving datasets, aimed at generalizing across diverse real-world scenarios. For online…

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

Traffic congestion has become one of the major problems in the urban cities according to the increasing number of vehicles in those cities, obsolete technologies used on the roads of those cities, inappropriate road design, and many other…

Multiagent Systems · Computer Science 2020-09-01 Maythem K. Abbas , Mohd N. Karsiti , Madzlan Napiah , Brahim B. Samir , Marwan Al-Jemeli

The capability of traffic-information systems to sense the movement of millions of users and offer trip plans through mobile phones has enabled a new way of optimizing city traffic dynamics, turning transportation big data into insights and…

Social and Information Networks · Computer Science 2021-07-19 Fan Yang , Alina Vereshchaka , Bruno Lepri , Wen Dong