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We study transportation networks controlled by dynamic feedback tolls. We focus on a multiscale model whereby the dynamics of the traffic flows are intertwined with those of the routing choices. The latter are influenced by the current…

Dynamical Systems · Mathematics 2020-10-20 Giacomo Como , Rosario Maggistro

We investigate how to control optimally a traffic flow through a junction on the line by acting only on speed reduction or traffic light at the junction. We show the existence of an optimal control and, under structure assumptions, provide…

Optimization and Control · Mathematics 2023-12-27 P. Cardaliaguet , P. E. Souganidis

Moving bottlenecks, such as slow-driving vehicles, are commonly thought of as impediments to efficient traffic flow. Here, we demonstrate that in certain situations, moving bottlenecks---properly controlled---can actually be beneficial for…

Physics and Society · Physics 2017-02-28 Rabie A. Ramadan , Benjamin Seibold

Recent studies on transportation networks have shown that real-time route guidance can inadvertently induce congestion or oscillatory traffic patterns. Nevertheless, such technologies also offer a promising opportunity to manage traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Shaya Garjani , Ashish Cherukuri , Bayu Jayawardhana , Nima Monshizadeh

In this note, we propose a case study of freeway traffic flow modeled as a hybrid system. We describe two general classes of networks that model flow along a freeway with merging onramps. The admission rate of traffic flow from each onramp…

Systems and Control · Computer Science 2018-03-02 Samuel Coogan , Murat Arcak

We explore packet traffic dynamics in a data network model near phase transition point from free flow to congestion. The model of data network is an abstraction of the Network Layer of the OSI (Open Systems Interconnection) Reference Model…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Anna T. Lawniczak , Xiongwen Tang

Spatiotemporal features and physics of vehicular traffic congestion occurring due to heavy freeway bottlenecks caused by bad weather conditions or accidents are found based on simulations in the framework of three-phase traffic theory. A…

Physics and Society · Physics 2007-12-12 Boris S. Kerner

Nuclear pore complexes are constantly confronted by large fluxes of macromolecules and macromolecular complexes that need to get into and out of the nucleus. Such bi-directional traffic occurring in a narrow channel can easily lead to…

Biological Physics · Physics 2008-07-22 Ruti Kapon , Alon Topchik , David Mukamel , and Ziv Reich

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

We present a comparative study of the application of a recently introduced heuristic algorithm to the optimization of transport on three major types of complex networks. The algorithm balances network traffic iteratively by minimizing the…

Disordered Systems and Neural Networks · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

A two-dimensional cellular automaton model of traffic flow with open boundaries are investigated by computer simulations. The outflow of cars from the system and the average velocity are investigated. The time sequences of the outflow and…

adap-org · Physics 2009-10-28 Shin-ichi Tadaki

Contemporary technological challenges often involve many degrees of freedom in a distributed or networked setting. Three aspects are notable: the variables are usually associated with the nodes of a graph with limited communication…

Statistical Mechanics · Physics 2017-08-30 Nicolas Allegra , Bassam Bamieh , Partha P. Mitra , Clément Sire

As a dynamical complex system, traffic is characterized by a transition from free flow to congestions, which is mostly studied in highways. However, despite its importance in developing congestion mitigation strategies, the understanding of…

Physics and Society · Physics 2015-12-02 Feilong Wang , Daqing Li , Xiaoyun Xu , Ruoqian Wu , Shlomo Havlin

Fair queuing is becoming increasingly prevalent in the internet and has been shown to improve performance in many circumstances. Performance could be improved even more if endpoints could detect the presence of fair queuing on a certain…

Networking and Internet Architecture · Computer Science 2023-06-12 Maximilian Bachl

Flow of dissipative particles driven by peristaltic motion of a tube is numerically studied. A transition from slow unjammed flow to fast jammed flow is found through the observation of the mass flux if the minimum width of the peristaltic…

Soft Condensed Matter · Physics 2012-03-12 Naoki Yoshioka , Hisao Hayakawa

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

Other Condensed Matter · Physics 2007-05-23 Peter Wagner

The emergence of autonomous vehicles is expected to revolutionize road transportation in the near future. Although large-scale numerical simulations and small-scale experiments have shown promising results, a comprehensive theoretical…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Jiawei Wang , Keqiang Li

In transportation systems (e.g. highways, railways, airports), traffic flows with distinct origin-destination pairs usually share common facilities and interact extensively. Such interaction is typically stochastic due to natural…

Optimization and Control · Mathematics 2019-08-06 Li Jin , Yining Wen

We study dynamical transportation networks in a framework that includes extensions of the classical Cell Transmission Model to arbitrary network topologies. The dynamics are modeled as systems of ordinary differential equations describing…

Optimization and Control · Mathematics 2014-10-28 Enrico Lovisari , Giacomo Como , Anders Rantzer , Ketan Savla

In this letter, we propose a new routing strategy with a single free parameter $\alpha$ only based on local information of network topology. In order to maximize the packets handling capacity of underlying structure that can be measured by…

Physics and Society · Physics 2016-09-08 Chuan-Yang Yin , Bing-Hong Wang , Wen-Xu Wang , Tao Zhou , Hui-Jie Yang