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Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal…

Physics and Society · Physics 2013-10-21 Mark J Panaggio , Bertrand J Ottino-Löffler , Peiguang Hu , Daniel M Abrams

In road traffic networks, large traffic volumes may lead to extreme delays. These severe delays are caused by the fact that, whenever the maximum capacity of a road is approached, speeds drop rapidly. Therefore, the focus in this paper is…

Optimization and Control · Mathematics 2023-06-08 Nikki Levering , Rudesindo Núñez-Queija

The efficiency of traffic flows in urban areas is known to crucially depend on signal operation. Here, elements of signal control are discussed, based on the minimization of overall travel times or vehicle queues. Interestingly, we find…

Physics and Society · Physics 2015-05-13 Dirk Helbing , Amin Mazloumian

Congestion control algorithms are crucial in achieving high utilization while preventing overloading the network. Over the years, many different congestion control algorithms have been developed, each trying to improve in specific…

Networking and Internet Architecture · Computer Science 2019-03-12 Belma Turkovic , Fernando A. Kuipers , Steve Uhlig

We extend the definition of a Stochastic Hybrid Automaton (SHA) to overcome limitations that make it difficult to use for on-line control. Since guard sets do not specify the exact event causing a transition, we introduce a clock structure…

Optimization and Control · Mathematics 2012-03-26 Ali Kebarighotbi , Christos G. Cassandras

We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise macroscopic quantities, such as traffic volume or average…

Optimization and Control · Mathematics 2019-11-11 Simone Cacace , Fabio Camilli , Raul De Maio , Andrea Tosin

This work introduces an integrated approach to optimizing urban traffic by combining predictive modeling of vehicle flow, adaptive traffic signal control, and a modular integration architecture through distributed messaging. Using real-time…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Ismail Zrigui , Samira Khoulji , Mohamed Larbi Kerkeb

In this paper we study a traffic intersection with vehicle-actuated traffic signal control. Traffic lights stay green until all lanes within a group are emptied. Assuming general renewal arrival processes, we derive exact limiting…

Probability · Mathematics 2014-09-11 Marko Boon , Ivo Adan , Erik Winands , Doug Down

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

Statistical Mechanics · Physics 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

This paper examines the IDM microscopic car-following model from a dynamical systems perspective, analyzing the effects of delay on congestion formation. Further, a case of mixed-autonomy is considered by controlling one car with…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Trevor McClain , Rahul Bhadani

Complex urban road networks with high vehicle occupancy frequently face severe traffic congestion. Designing an effective strategy for managing multiple traffic lights plays a crucial role in managing congestion. However, most current…

Machine Learning · Computer Science 2024-08-15 Taeyoung Yun , Kanghoon Lee , Sujin Yun , Ilmyung Kim , Won-Woo Jung , Min-Cheol Kwon , Kyujin Choi , Yoohyeon Lee , Jinkyoo Park

The Intelligent Transportation System (ITS) targets to a coordinated traffic system by applying the advanced wireless communication technologies for road traffic scheduling. Towards an accurate road traffic control, the short-term traffic…

Machine Learning · Computer Science 2017-01-10 Xun Zhou , Changle Li , Zhe Liu , Tom H. Luan , Zhifang Miao , Lina Zhu , Lei Xiong

We introduce a new conservation-based approach for traffic coordination modeling and control in a network of interconnected roads (NOIR) with switching movement phase rotations at every NOIR junction. For modeling of traffic evolution, we…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Hossein Rastgoftar , Xun Liu , Jean-Baptiste Jeannin

Accurate traffic flow prediction is crucial for optimizing traffic management, enhancing road safety, and reducing environmental impacts. Existing models face challenges with long sequence data, requiring substantial memory and…

Machine Learning · Computer Science 2024-05-10 Zhiqi Shao , Xusheng Yao , Ze Wang , Junbin Gao

The utilization of traffic conflict indicators is crucial for assessing traffic safety, especially when the crash data is unavailable. To identify traffic conflicts based on traffic flow characteristics across various traffic states, we…

Physics and Society · Physics 2023-08-01 Shengxuan Ding , Mohamed Abdel-Aty , Ou Zheng , Zijin Wang , Dongdong Wang

While the development of fully autonomous vehicles is one of the major research fields in the Intelligent Transportation Systems (ITSs) domain, the upcoming longterm transition period - the hybrid vehicular traffic - is often neglected.…

Networking and Internet Architecture · Computer Science 2019-11-22 Benjamin Sliwa , Thomas Liebig , Tim Vranken , Michael Schreckenberg , Christian Wietfeld

Increased amount of vehicular traffic on roads is a significant issue. High amount of vehicular traffic creates traffic congestion, unwanted delays, pollution, money loss, health issues, accidents, emergency vehicle passage and traffic…

Computer Vision and Pattern Recognition · Computer Science 2020-05-06 Devashish Prasad , Kshitij Kapadni , Ayan Gadpal , Manish Visave , Kavita Sultanpure

Detecting emergency vehicles arrival on roads has been the focus for many researchers. It is quite important to detect the emergency vehicles (e.g; ambulance) arrival to traffic light to give the green light for it to pass through. Many…

Multiagent Systems · Computer Science 2020-09-01 Maythem K. Abbas , Mohd Noh Karsiti , Madzlan Napiah , Samir Brahim

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

Statistical Mechanics · Physics 2009-11-10 Martin Treiber , Dirk Helbing

We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic…

Numerical Analysis · Mathematics 2016-12-13 Florent Berthelin , Thierry Goudon , Bastien Polizzi , Magali Ribot