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Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

Physics and Society · Physics 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

We consider a transportation system of heterogeneously connected vehicles, where not all vehicles are able to communicate. Heterogeneous connectivity in transportation systems is coupled to practical constraints such that (i) not all…

Systems and Control · Computer Science 2016-08-29 Shanyu Zhou , Hulya Seferoglu

The Static User Equilibrium is a powerful framework for the theoretical study of traffic. Despite the restricting assumption of stationary flows that intuitively limit its application to real traffic systems, many operational models…

Physics and Society · Physics 2016-08-19 Juste Raimbault

The balanced vehicular traffic model is a macroscopic model for vehicular traffic flow. We use this model to study the traffic dynamics at highway bottlenecks either caused by the restriction of the number of lanes or by on-ramps or…

Physics and Society · Physics 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle

The weaving ramp scenario is a critical bottleneck in highway networks due to conflicting flows and complex interactions among merging, exiting, and through vehicles. In this work, we propose a game-theoretic model to capture and predict…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Haohui He , Kexin Wang , Ruolin Li

It is understood that congestion in traffic can be interpreted in terms of the instability of the equation of dynamic motion. The evolution of a traffic system from an unstable or metastable state to a globally stable state bears a strong…

Physics and Society · Physics 2016-12-06 Wei-Liang Qian , Bin Wang , Kai Lin , Romuel F. Machado , Yogiro Hama

Although routing applications increasingly affect individual mobility choices, their impact on collective traffic dynamics remains largely unknown. Smart communication technologies provide accurate traffic data for choosing one route over…

Physics and Society · Physics 2021-11-29 Verena Krall , Max F. Burg , Friedrich Pagenkopf , Henrik Wolf , Marc Timme , Malte Schröder

Up-to-date information wirelessly communicated among vehicles can be used to select the optimal route between a given origin and destination. To elucidate how to make use of such information, simulations are performed for autonomous…

Physics and Society · Physics 2017-04-05 L. C. Davis

We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results obtained by the nonlocal, gas-kinetic-based…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Ansgar Hennecke , Martin Treiber

We analyze traffic data from a highway section containing one effective on-ramp. Based on two criteria, local velocity variation patterns and expansion (or nonexpansion) of congested regions, three distinct congested traffic states are…

Condensed Matter · Physics 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

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

To improve the routing decisions of individual drivers and the management policies designed by traffic operators, one needs reliable estimates of travel time distributions. Since congestion caused by both recurrent patterns (e.g., rush…

Physics and Society · Physics 2022-10-13 Nikki Levering , Marko Boon , Michel Mandjes

Despite the availability of large empirical data sets and the long history of traffic modeling, the theory of traffic congestion on freeways is still highly controversial. In this contribution, we compare Kerner's three-phase traffic theory…

Physics and Society · Physics 2011-08-25 Martin Treiber , Arne Kesting , Dirk Helbing

Predicting selfish behavior in public environments by considering Nash equilibria is a central concept of game theory. For the dynamic traffic assignment problem modeled by a flow over time game, in which every particle tries to reach its…

Optimization and Control · Mathematics 2020-07-06 Hoang Minh Pham , Leon Sering

This paper analyzes the use of variable speed limits to optimize travel time reliability for commuters. The investigation focuses on a traffic corridor with a bottleneck subject to the capacity drop phenomenon. The optimization criterion is…

Optimization and Control · Mathematics 2025-09-16 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Equilibrium modeling is common in a variety of fields such as game theory and transportation science. The inputs for these models, however, are often difficult to estimate, while their outputs, i.e., the equilibria they are meant to…

Optimization and Control · Mathematics 2014-05-20 Dimitris Bertsimas , Vishal Gupta , Ioannis Ch. Paschalidis

Aiming at the problem of driver's perception lag and low utilization efficiency of space-time resources in expressway ramp confluence area, based on the preemptive spatiotemporal trajectory Adjustment system, from the perspective of…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Yuan Li , Xiaoxue Xu , Xiang Dong , Junfeng Hao , Tao Li , Sana Ullaha , Chuangrui Huang , Junjie Niu , Ziyan Zhao , Ting Peng

We propose a two phase time dependent vehicle routing and scheduling optimization model that identifies the safest routes, as a substitute for the classical objectives given in the literature such as shortest distance or travel time,…

Artificial Intelligence · Computer Science 2017-10-20 Aschkan Omidvar , Eren Erman Ozguven , O. Arda Vanli , R. Tavakkoli-Moghaddam

Several factors influence traffic congestion and overall traffic dynamics. Simulation modeling has been utilized to understand the traffic performance parameters during traffic congestions. This paper focuses on driver behavior of route…

Systems and Control · Electrical Eng. & Systems 2019-07-17 Ben Benzaman , Erfan Pakdamanian

In route selection problems, the driver's personal preferences will determine whether she prefers a route with a travel time that has a relatively low mean and high variance over one that has relatively high mean and low variance. In…

Optimization and Control · Mathematics 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra