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In discrete time, $\ell$-blocks of red lights are separated by $\ell$-blocks of green lights. Cars arrive at random. The maximum line length of idle cars is fully understood for $\ell = 1$, but only partially for $2 \leq \ell \leq 3$.

History and Overview · Mathematics 2018-11-01 Steven Finch , Guy Louchard

We consider a car-following model described by a delay difference equation and give its exact solutions that present propagation of a traffic jam. This model is a discrete-time version of the delayed optimal-velocity model; in the continuum…

Cellular Automata and Lattice Gases · Physics 2015-09-29 Keisuke Matsuya , Masahiro Kanai

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with…

Analysis of PDEs · Mathematics 2007-05-23 G. M. Coclite , B. Piccoli

We consider the problem of controlling a vehicle to arrive at a fixed destination while minimizing a combination of energy consumption and travel time. Our model includes vehicle speed and accelaration limits, aerodynamic drag, rolling…

Optimization and Control · Mathematics 2023-06-13 Nicholas Moehle

Finding an optimal solution of signal traffic control durations is a computationally intensive task. It is typically O(T3) in time, and O(T2) in space, where T is the length of the control interval in discrete time steps. In this paper, we…

Data Structures and Algorithms · Computer Science 2014-07-22 Sameh Samra , Ahmed El-Mahdy , Yasutaka Wada

Traffic signal control is safety-critical for our daily life. Roughly one-quarter of road accidents in the U.S. happen at intersections due to problematic signal timing, urging the development of safety-oriented intersection control.…

Machine Learning · Computer Science 2023-03-01 Wenlu Du , Junyi Ye , Jingyi Gu , Jing Li , Hua Wei , Guiling Wang

Smart and decentralized control systems have recently been proposed to handle the growing traffic congestion in urban cities. Proposed smart traffic light solutions based on Wireless Sensor Network and Vehicular Ad-hoc NETwork are either…

Multiagent Systems · Computer Science 2020-05-14 Willy Carlos Tchuitcheu , Christophe Bobda , Md Jubaer Hossain Pantho

Traffic congestion is one of the major challenges faced by the transportation industry. While this problem carries a high economical and environmental cost, the need for an efficient design of optimal paths for passengers in multilayer…

Physics and Society · Physics 2022-06-10 Abdullahi Adinoyi Ibrahim , Daniela Leite , Caterina De Bacco

We consider a system to optimize duration of traffic signals using multi-agent deep reinforcement learning and Vehicle-to-Everything (V2X) communication. This system aims at analyzing independent and shared rewards for multi-agents to…

Artificial Intelligence · Computer Science 2020-02-25 Azhar Hussain , Tong Wang , Cao Jiahua

In discrete time, $\ell$-blocks of red lights are separated by $\ell$-blocks of green lights. Cars arrive at random. \ We seek the distribution of maximum line length of idle cars, and justify conjectured probabilistic asymptotics…

Probability · Mathematics 2021-03-09 Steven Finch , Guy Latouche , Guy Louchard , Beatrice Meini

The increasing wireless communication capabilities of vehicles creates opportunities for more efficient intersection management strategies. One promising approach is the replacement of traffic lights with a system wherein vehicles run…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-20 Kaya Alpturer , Joseph Y. Halpern , Ron van der Meyden

In this work, we develop a collection of novel methods for the entropic-regularised optimal transport problem, which are inspired by existing mirror descent interpretations of the Sinkhorn algorithm used for solving this problem. These are…

Optimization and Control · Mathematics 2025-07-17 Vishwak Srinivasan , Qijia Jiang

We present a microscopic driving algorithm that prescribes the acceleration using three parameters: the distance to the leading vehicle, to the next traffic light and to the nearest stopping point when the next traffic light is in the red…

Physics and Society · Physics 2021-04-16 Enrique Pazos

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

Optimization and Control · Mathematics 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

This paper offers an integrative data-driven physics-inspired approach to model and control traffic congestion in a resilient and efficient manner. While existing physics-based approaches commonly assign density and flow traffic states by…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Hossein Rastgoftar , Ella Atkins

The raising level of traffic imposes a great demand in the growth of intelligent traffic systems. With increase in complexity of alleviation, finding solutions to traffic congestion problem have become one of the challenges. Various…

Networking and Internet Architecture · Computer Science 2019-11-05 Kunal Verma , Vishal Paike

As an example for the optimization of unstable flows, we present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. It exploits the naturally occuring fluctuations of traffic flow and…

Statistical Mechanics · Physics 2009-10-31 Bernardo A. Huberman , Dirk Helbing

Traffic signal control is a challenging real-world problem aiming to minimize overall travel time by coordinating vehicle movements at road intersections. Existing traffic signal control systems in use still rely heavily on oversimplified…

Artificial Intelligence · Computer Science 2022-08-09 Chi-Chun Chao , Jun-Wei Hsieh , Bor-Shiun Wang

Traffic congestion games abstract away from the costs of junctions in transport networks, yet, in urban environments, these often impact journey times significantly. In this paper we equip congestion games with traffic lights, modelled as…

Computer Science and Game Theory · Computer Science 2019-12-16 Charlotte Roman , Paolo Turrini

This paper develops an optimal acceleration/speed profile for a single autonomous vehicle crossing multiple signalized intersections without stopping in free flow mode. The design objective is to produce both time and energy efficient…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Xiangyu Meng , Christos G. Cassandras
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