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It is well-known that the fundamental diagram in a realistic traffic system is featured by capacity drop. From a mesoscopic approach, we demonstrate that such a phenomenon is linked to the unique properties of stochastic noise, which, when…

Applications · Statistics 2025-03-21 Mariana Pereira de Melo , Leon Alexander Valencia , Wei-Liang Qian

We extend Stochastic Flow Models (SFMs), used for a large class of discrete event and hybrid systems, by including the delays which typically arise in flow movement. We apply this framework to the multi-intersection traffic light control…

Systems and Control · Computer Science 2017-11-09 Rui Chen , Christos G. Cassandras

This paper considers a single link with traffic light boundary conditions at both ends, and investigates the traffic evolution over time with various signal and system configurations. A hydrodynamic model and a modified stochastic domain…

Physics and Society · Physics 2019-05-07 Lele Zhang , Caley Finn , Timothy M. Garoni , Jan de Gier

Driving styles have a great influence on vehicle fuel economy, active safety, and drivability. To recognize driving styles of path-tracking behaviors for different divers, a statistical pattern-recognition method is developed to deal with…

Machine Learning · Statistics 2018-02-12 Wenshuo Wang , Junqiang Xi , Xiaohan Li

For a class of data-fitted macroscopic traffic models, the influence of the choice of the stagnation density on the model accuracy is investigated. This work builds on an established framework of data-fitted first-order…

Physics and Society · Physics 2013-08-05 Shimao Fan , Benjamin Seibold

Effects of a bottleneck in a linear trafficway is investigated using a simple cellular automaton model. Introducing a blockage site which transmit cars at some transmission probability into the rule-184 cellular automaton, we observe three…

Condensed Matter · Physics 2009-10-22 S. Yukawa , M. Kikuchi , S. -I. Tadaki

This paper develops a stochastic and unifying framework to examine variability in car-following (CF) dynamics of commercial automated vehicles (AVs) and its direct relation to traffic-level dynamics. The asymmetric behavior (AB) model by…

Applications · Statistics 2024-01-02 Xinzhi Zhong , Yang Zhou , Soyoung Ahn , Danjue Chen

Unlike equilibrium statistical mechanics, with its well-established foundations, a similar widely-accepted framework for non-equilibrium statistical mechanics (NESM) remains elusive. Here, we review some of the many recent activities on…

Statistical Mechanics · Physics 2015-05-30 T. Chou , K. Mallick , R. K. P. Zia

The coordinated and efficient distribution of limited resources by individual decisions is a fundamental, unsolved problem. When individuals compete for road capacities, time, space, money, goods, etc., they normally make decisions based on…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Martin Schoenhof , Daniel Kern

The present paper proposes a novel interpretation of the widely scattered states (called synchronized traffic) stimulated by Kerner's hypotheses about the existence of a multitude of metastable states in the fundamental diagram. Using…

Soft Condensed Matter · Physics 2009-11-07 Ihor Lubashevsky , Reinhard Mahnke , Peter Wagner , Sergey Kalenkov

Here we study a driven lattice gas model for microtubule depolymerizing molecular motors, where traffic jams of motors induce stochastic switching between microtubule growth and shrinkage. We term this phenomenon \enquote{traffic dynamic…

Statistical Mechanics · Physics 2015-05-07 Louis Reese , Anna Melbinger , Erwin Frey

In this paper we present a theoretical analysis of a recently proposed two-dimensional Cellular Automata model for traffic flow in cities with the novel ingredient of turning capability. Numerical simulations of this model show that there…

comp-gas · Physics 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

We have studied the distribution of traffic flow $q$ for the Nagel-Schreckenberg model by computer simulations. We applied a large-deviation approach, which allowed us to obtain the distribution $P(q)$ over more than one hundred decades in…

Data Analysis, Statistics and Probability · Physics 2019-12-11 Wiebke Staffeldt , Alexander K. Hartmann

The Lagrangian approach is natural to study issues of turbulent dispersion and mixing. We propose in this work a general Lagrangian stochastic model including velocity and acceleration as dynamical variables for inhomogeneous turbulent…

Fluid Dynamics · Physics 2020-05-01 Alessio Innocenti , Nicolas Mordant , Nick Stelzenmuller , Sergio Chibbaro

We propose a statistical learning-based traffic speed estimation method that uses sparse vehicle trajectory information. Using a convolutional encoder-decoder based architecture, we show that a well trained neural network can learn…

Physics and Society · Physics 2020-06-15 Ouafa Benkraouda , Bilal Thonnam Thodi , Hwasoo Yeo , Monica Menendez , Saif Eddin Jabari

As connected and autonomous vehicles become more widespread, platooning has emerged as a key strategy to improve road capacity, reduce fuel consumption, and enhance traffic flow. However, the benefits of platoons strongly depend on their…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oumaima Barhoumi , Ghazal Farhani , Taufiq Rahman , Mohamed H. Zaki , Sofiène Tahar

It is shown that the desire for smooth and comfortable driving is directly responsible for the occurrence of complex spatio-temporal structures (``synchronized traffic'') in highway traffic. This desire goes beyond the avoidance of…

Statistical Mechanics · Physics 2009-11-07 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

We consider the problem of minimizing a convex function that is evolving according to unknown and possibly stochastic dynamics, which may depend jointly on time and on the decision variable itself. Such problems abound in the machine…

Optimization and Control · Mathematics 2023-05-30 Joshua Cutler , Dmitriy Drusvyatskiy , Zaid Harchaoui

The causal connection between congestions and velocity changes at different locations induces various statistical features, which we identify and measure in detail. We carry out an empirical analysis of large-scale traffic data on a local…

Physics and Society · Physics 2024-10-10 Shanshan Wang , Michael Schreckenberg , Thomas Guhr

This paper presents a rigorous analytical model of traffic dynamics on a circular track, demonstrating the emergence of standing oscillations resulting from microscopic driver behaviour, delay responses, and proximity pressure. Without…

Adaptation and Self-Organizing Systems · Physics 2025-07-10 Craig S Wright
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