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The proliferation of connected and automated vehicles (CAVs) has positioned mixed traffic environments, which encompass both CAVs and human driven vehicles (HDVs), as critical components of emerging mobility systems. Signalized…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Filippos N. Tzortzoglou , Logan E. Beaver , Andreas A. Malikopoulos

The jam phases in a two-dimensional cellular automata model of traffic flow are investigated by computer simulations. Two different types of the jam phases are found. The spatially diagonal long-range correlation obeys the power law at the…

patt-sol · Physics 2009-10-28 Shin-ichi Tadaki , Macoto Kikuchi

We study intersection access control for autonomous vehicles. Platoon forming algorithms, which aim to organize individual vehicles in platoons, are very promising. To create those platoons, we slow down vehicles before the actual arrival…

Data Structures and Algorithms · Computer Science 2024-12-20 R. W. Timmerman , M. A. A. Boon

This work addresses the problem of autonomous traffic management at an isolated intersection for connected and automated vehicles. We decompose the trajectory of each vehicle into two phases: the provisional phase and the coordinated phase.…

Optimization and Control · Mathematics 2021-10-22 Darshan Gadginmath , Pavankumar Tallapragada

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

Work zone is one of the major causes of non-recurrent traffic congestion and road incidents. Despite the significance of its impact, studies on predicting the traffic impact of work zones remain scarce. In this paper, we propose a data…

Machine Learning · Computer Science 2024-06-03 Qinhua Jiang , Xishun Liao , Yaofa Gong , Jiaqi Ma

The back-pressure algorithm is a well-known throughput-optimal algorithm. However, its delay performance may be quite poor even when the traffic load is not close to network capacity due to the following two reasons. First, each node has to…

Networking and Internet Architecture · Computer Science 2010-05-31 Loc Bui , R. Srikant , Alexander Stolyar

The major advances in intelligent transportation systems are pushing societal services toward autonomy where road management is to be more agile in order to cope with changes and continue to yield optimal performance. However, the…

Systems and Control · Electrical Eng. & Systems 2024-09-19 Dayuan Tan , Mohamed Younis , Wassila Lalouani , Shuyao Fan , Guozhi Song

This paper considers an unsignalized intersection used by two traffic streams. A stream of cars is using a primary road, and has priority over the other stream. Cars belonging to the latter stream cross the primary road if the gaps between…

Optimization and Control · Mathematics 2018-02-20 Abhishek , Marko Boon , Michel Mandjes , Rudesindo Núñez-Queija

The transit times are obtained for a symmetrized (two identical bosons) and an antisymmetrized (two identical fermions) quantum colliding configuration. Considering two identical particles symmetrically impinging on a one-dimensional…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

A Wardrop equilibrium for multiple routes requires equal travel time on each path used. With real-time traffic data regarding travel times, it is important to analyze how to use the information provided. In particular, can a Wardrop…

Physics and Society · Physics 2009-09-02 L. C. Davis

It is commonly seen that buses are blocked by the ones in front serving passengers and have to queue outside a curbside bus stop although there are vacant berths at the stop. The resultant bus delays degrade the service level of urban…

Optimization and Control · Mathematics 2021-11-30 Wanjing Ma , Shiqi Ou , Chunhui Yu

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

This paper introduces a novel approach employing extreme value theory to analyze queue lengths within a corridor controlled by adaptive controllers. We consider the maximum queue lengths of a signalized corridor consisting of nine…

Systems and Control · Electrical Eng. & Systems 2024-08-05 Shakib Mustavee , Pushkin Kachroo , Shaurya Agarwal

Two models of a queue are proposed: a human queue and two lines of vehicles before a narrowing. In both models, a queuer tries to evaluate his waiting time, taking into account the delay caused by intruders who jump to the queue front. As…

Physics and Society · Physics 2023-07-19 M. J. Krawczyk , P. Gronek , M. Nawojczyk , K. Kulakowski

We investigate a microscopical structure in a chain of cars waiting at a red signal on signal-controlled crossroads. Presented is an one-dimensional space-continuous thermodynamical model leading to an excellent agreement with the data…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Milan Krbalek

This paper investigates the mathematical modeling and the stability of multi-lane traffic in the microscopic scale, studying a model based on two interaction terms. To do this we propose simple lane changing conditions and we study the…

Classical Analysis and ODEs · Mathematics 2023-12-05 Matteo Piu , Gabriella Puppo

A new delay equation is introduced to describe the punctuated evolution of complex nonlinear systems. A detailed analytical and numerical investigation provides the classification of all possible types of solutions for the dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 V. I. Yukalov , E. P. Yukalova , D. Sornette

We present in this paper a method to estimate urban traffic state with communicating vehicles. Vehicles moving on the links of the urban road network form queues at the traffic lights. We assume that a proportion of vehicles are equipped…

Systems and Control · Computer Science 2020-02-28 Cyril Nguyen Van Phu , Nadir Farhi

We present a novel approach to understand vehicular traffic jams by studying a simple model, Elementary Cellular Automaton Rule 184 (ECA 184). Using key traffic observables, such as the total delay and relaxation time, as well as…

Statistical Mechanics · Physics 2025-11-11 Aryaman Jha , Kurt Wiesenfeld , Garyoung Lee , Jorge Laval