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We use the asymmetric simple exclusion process for describing vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The approaching cars to the intersection point yield to each other to avoid…

Physics and Society · Physics 2008-01-25 M. Ebrahim Foulaadvand , Mehdi Neek-Amal

We propose a stochastic model for the intersection of two urban streets. The vehicular traffic at the intersection is controlled by a set of traffic lights which can be operated subject to fix-time as well as traffic adaptive schemes.…

Condensed Matter · Physics 2012-03-19 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani

Interaction between vehicles and pedestrians is seen in many areas such as crosswalks and intersections. In this paper, we study a totally asymmetric simple exclusion process with a bottleneck at a boundary caused by an interaction. Due to…

Physics and Society · Physics 2015-06-19 Hidetaka Ito , Katsuhiro Nishinari

Transitions between two lanes often have a significant impact on various forms of road traffic. To address this problem, we have developed a two-lane asymmetric simple exclusion process model and two hypothetical traffic control strategies,…

Physics and Society · Physics 2022-12-14 Yuming Dong , Xiaolu Jia , Daichi Yanagisawa , Akihito Nagahama , Katsuhiro Nishinari

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

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

Statistical Mechanics · Physics 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

We study the impact of global traffic light control strategies in a recently proposed cellular automaton model for vehicular traffic in city networks. The model combines basic ideas of the Biham-Middleton-Levine model for city traffic and…

Statistical Mechanics · Physics 2009-11-07 Elmar Brockfeld , Robert Barlovic , Andreas Schadschneider , Michael Schreckenberg

We give a rigorous solution of an optimisation problem of minimizing the expected delay caused by encountering a red traffic light on a road journey. The problem incorporates simple constraints on maximum speed, acceleration and braking…

Optimization and Control · Mathematics 2025-12-03 Márton Balázs , Edward Crane , Alexander Tallis

The traffic flow through a light signal is explored by using the optimal velocity model and its improvement known as full velocity differences model. The simulations consider a single line of identical cars, equally spaced, and with no…

Physics and Society · Physics 2017-12-07 Juan Carlos Cardona

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

Based of simulations of a stochastic three-phase traffic flow model, we reveal that at a signalized city intersection under small link inflow rates at which a vehicle queue developed during the red phase of light signal dissolves fully…

Physics and Society · Physics 2015-05-30 Boris S. Kerner

We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the ensuing rarefaction wave has a rich spatial structure. The…

Statistical Mechanics · Physics 2019-05-31 K. Zhang , P. L. Krapivsky , S. Redner

We consider a one-dimensional stochastic reaction-diffusion generalizing the totally asymmetric simple exclusion process, and aiming at describing single lane roads with vehicles that can change speed. To each particle is associated a jump…

Statistical Mechanics · Physics 2011-09-09 Cyril Furtlehner , Jean-Marc Lasgouttes

An urban traffic system is a heterogeneous system, which consists of different types of intersections and dynamics. In this paper, we focus on one type of heterogeneous traffic network, which consists of signalized junctions and…

Optimization and Control · Mathematics 2017-05-11 Yicheng Zhang , Rong Su , Yi Zhang , Chunyang Sun

A macroscopic model is proposed to depict the traffic dynamics involved in urban traffic systems. The link dynamics are described based on the cell-transmission model and bounded by the link capacities, while the flow dynamics are proposed…

Optimization and Control · Mathematics 2020-02-25 Yicheng Zhang

We present a model of traffic flow on generic urban road networks based on cellular automata. We apply this model to an existing road network in the Australian city of Melbourne, using empirical data as input. For comparison, we also apply…

Cellular Automata and Lattice Gases · Physics 2011-04-28 Jan de Gier , Timothy M Garoni , Omar Rojas

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

We propose a model for the intersection of two urban streets. The traffic status of the crossroads is controlled by a set of traffic lights which periodically switch to red and green with a total period of T. Two different types of…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Masoud Nematollahi

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

Today's fixed-cycle traffic signaling is highly suboptimal and aggravates traffic congestion and waste of energy in urban areas. In addition, it offers no quality-of-service guarantee and makes travel time prediction extremely hard. While…

Systems and Control · Computer Science 2017-05-17 Lei Miao , Lijian Xu
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