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Efficient and exact algorithms are important for performing fast and accurate traffic network simulations with macroscopic traffic models. In this paper, we extend the semi-analytical Lax-Hopf algorithm in order to compute link inflows and…

偏微分方程分析 · 数学 2018-08-29 Michele Simoni , Christian Claudel

We introduce new coupling conditions for isentropic flow on networks based on an artificial density at the junction. The new coupling conditions can be derived from a kinetic model by imposing a condition on energy dissipation. Existence…

偏微分方程分析 · 数学 2020-06-17 Yannick Holle , Michael Herty , Michael Westdickenberg

We present a new, deadlock-free, routing scheme for toroidal interconnection networks, called OutFlank Routing (OFR). OFR is an adaptive strategy which exploits non-minimal links, both in the source and in the destination nodes. When…

分布式、并行与集群计算 · 计算机科学 2014-05-22 Francesco Versaci

Platooning of connected and autonomous vehicles (CAVs) has a significant potential for throughput improvement. However, the interaction between CAVs and non-CAVs may limit the practically attainable improvement due to platooning. To better…

最优化与控制 · 数学 2020-11-16 Li Jin , Mladen Cicic , Karl H. Johansson , Saurabh Amin

In the modeling of traffic networks, a signalized junction is typically treated using a binary variable to model the on-and-off nature of signal operation. While accurate, the use of binary variables can cause problems when studying large…

偏微分方程分析 · 数学 2016-03-25 Ke Han , Vikash Gayah , Benedetto Piccoli , Terry L. Friesz , Tao Yao

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

统计力学 · 物理学 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links. Popular models include infinite source…

概率论 · 数学 2010-08-17 Clément Dombry , Ingemar Kaj

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

The unreal high flows may appear on the actually congested links in the result when a monotonically increasing link travel time function of flow volume is adopted in traffic assignment. The fixed link flow results of a static traffic…

系统与控制 · 电气工程与系统科学 2020-06-02 Shengxue He

In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable congested flows. This establishes the presence of…

patt-sol · 物理学 2007-05-23 Yuji Igarashi , Katsumi Itoh , Ken Nakanishi , Kazuhiro Ogura , Ken Yokokawa

Macroscopic traffic flow is stochastic, but the physics-informed deep learning methods currently used in transportation literature embed deterministic PDEs and produce point-valued outputs; the stochasticity of the governing dynamics plays…

系统与控制 · 电气工程与系统科学 2026-03-11 Wuping Xin

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…

物理与社会 · 物理学 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

Freeway on-ramps are typical bottlenecks in the freeway network due to the frequent disturbances caused by their associated merging, weaving, and lane-changing behaviors. With real-time communication and precise motion control, Connected…

系统与控制 · 电气工程与系统科学 2021-08-05 Jie Zhu , Ivana Tasic , Xiaobo Qu

The aim of this paper is to discuss the appropriate modelling of in- and outflow boundary conditions for nonlinear drift-diffusion models for the transport of particles including size exclusion and their effect on the behaviour of…

偏微分方程分析 · 数学 2016-11-03 Martin Burger , Jan-Frederik Pietschmann

In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow models with Arrhenius look-ahead-behind (i.e., nudging) dynamics…

偏微分方程分析 · 数学 2023-04-18 Yi Hu , Yongki Lee , Shijun Zheng

This paper studies the performance of hybrid radio-frequency (RF) and free-space optical (FSO) links assuming perfect channel state information (CSI) at the receiver. Considering the cases with and without hybrid automatic repeat request…

信息论 · 计算机科学 2016-11-15 Behrooz Makki , Tommy Svensson , Thomas Eriksson , Mohamed-Slim Alouini

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

数学物理 · 物理学 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

In this paper we propose coupling conditions for a relaxation model for vehicular traffic on networks. We present a matched asymptotic expansion procedure to derive a LWR- network with well-known classical coupling conditions from the…

偏微分方程分析 · 数学 2021-03-17 Raul Borsche , Axel Klar

While macroscopic models for single or multi-lane traffic flow are well established, these models are not applicable to the dynamics and characteristics of disordered traffic which is characterized by widely different types of vehicles and…

物理与社会 · 物理学 2023-10-27 Shrey Agrawal , Venkatesan Kanagaraj , Martin Treiber

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…

物理与社会 · 物理学 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle