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In this paper, we investigate safety-critical control problem of discrete-time stochastic systems with incomplete information, where safety constraints must be enforced using state estimates obtained from noisy measurements. We develop an…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jianing Zhao , Zhuoting Cai , Xiang Yin

Perimeter control maintains high traffic efficiency within protected regions by controlling transfer flows among regions to ensure that their traffic densities are below critical values. Existing approaches can be categorized as either…

Machine Learning · Computer Science 2023-06-01 Xiaocan Li , Ray Coden Mercurius , Ayal Taitler , Xiaoyu Wang , Mohammad Noaeen , Scott Sanner , Baher Abdulhai

Capacity drop is a traffic phenomenon in which the discharge flow from a queue is lower than the theoretical infrastructure capacity. This paper proposes a generic analytical method to estimate the queue discharge flow of freeway traffic.…

Physics and Society · Physics 2026-05-05 Yu Han , Pan Liu , Zhiyuan Liu , Ludovic Leclercq

Effective congestion control for data center networks is becoming increasingly challenging with a growing amount of latency sensitive traffic, much fatter links, and extremely bursty traffic. Widely deployed algorithms, such as DCTCP and…

Networking and Internet Architecture · Computer Science 2021-03-30 Prateesh Goyal , Preey Shah , Kevin Zhao , Georgios Nikolaidis , Mohammad Alizadeh , Thomas E. Anderson

In this paper we investigate numerically the model for pedestrian traffic proposed in [B.Andreianov, C.Donadello, M.D.Rosini, Crowd dynamics and conservation laws with nonlocal constraints and capacity drop, Mathematical Models and Methods…

Numerical Analysis · Mathematics 2015-03-11 Boris Andreianov , Carlotta Donadello , Ulrich Razafison , Massimiliano Daniele Rosini

In this paper, we introduce a new conservation-based approach to model traffic dynamics, and apply the model predictive control (MPC) approach to control the boundary traffic inflow and outflow, so that the traffic congestion is reduced. We…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Xun Liu , Hossein Rastgoftar

Density fluctuations in traffic current are studied by computer simulations using the deterministic coupled map lattice model on a closed single-lane circuit. By calculating a power spectral density of temporal density fluctuations at a…

chao-dyn · Physics 2009-10-28 S. Yukawa , M. Kikuchi

We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic…

Numerical Analysis · Mathematics 2016-12-13 Florent Berthelin , Thierry Goudon , Bastien Polizzi , Magali Ribot

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

We study condensation in one-dimensional transport models with a kinetic constraint. The kinetic constraint results in clustering of immobile vehicles; these clusters can grow to macroscopic condensates, indicating the onset of dynamic…

Statistical Mechanics · Physics 2015-06-18 Daniel Miedema , Astrid de Wijn , Peter Schall

In the freeway network control (FNC) problem, the operation of a traffic network is optimized using only flow control. For special cases of the FNC problem, in particular the case when all merging flows are controlled, there exist tight…

Optimization and Control · Mathematics 2018-03-30 Marius Schmitt , John Lygeros

Cycling is a green transportation mode, and is promoted by many governments to mitigate traffic congestion. However, studies concerning the traffic dynamics of bicycle flow are very limited. This study experimentally investigated bicycle…

Adaptation and Self-Organizing Systems · Physics 2019-04-15 Ning Guo , Rui Jiang , SC Wong , Qing-Yi Hao , Shu-Qi Xue , Mao-Bin Hu

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

The vibro-impact capsule system is a self-propelled mechanism that has abundant coexisting attractors and moves rectilinearly under periodic excitation when overcoming environmental resistance. In this paper, we study the control of…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Zhi Zhang , Joseph Páez Chávez , Jan Sieber , Yang Liu

The fundamental relationship of traffic flow is empirically estimated by fitting a regression curve to a cloud of observations of traffic variables. Such estimates, however, may suffer from the confounding/endogeneity bias due to omitted…

Econometrics · Economics 2021-04-07 Anupriya , Daniel J. Graham , Daniel Hörcher , Prateek Bansal

We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidden, growing clusters are formed behind slow cars and the…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

In transportation networks, a spontaneous jamming transition is often observed, e.g in urban road networks and airport networks. Because of this instability, flow distribution is significantly imbalanced on a macroscopic level. To mitigate…

Physics and Society · Physics 2015-05-27 Takahiro Ezaki , Ryosuke Nishi , Katsuhiro Nishinari

In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed…

Dynamical Systems · Mathematics 2025-04-03 Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti

Highway vehicular traffic is an inherently multi-agent problem. Traffic jams can appear and disappear mysteriously. We develop a method for traffic flow control that is applied at the vehicular level via mean-field games. We begin this work…

Optimization and Control · Mathematics 2023-06-06 Amoolya Tirumalai , John S. Baras

In this paper we propose two numerical algorithms to solve a coupled PDE-ODE system which models a slow vehicle (bottleneck) moving on a road together with other cars. The resulting system is fully coupled because the dynamics of the slow…

Dynamical Systems · Mathematics 2021-03-22 Gabriella Bretti , Emiliano Cristiani , Corrado Lattanzio , Amelio Maurizi , Benedetto Piccoli
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