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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…

最优化与控制 · 数学 2025-09-16 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

A queueing model has $J\ge2$ heterogeneous service stations, each consisting of many independent servers with identical capabilities. Customers of $I\ge2$ classes can be served at these stations at different rates, that depend on both the…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Gennady Shaikhet

A bottleneck simulation of road traffic on a loop, using the deterministic cellular automata (CA) Nagel-Schreckenberg model with zero dawdling probability, reveals three types of stationary wave solutions. They consist of i) two shock…

元胞自动机与格子气 · 物理学 2009-01-12 Peter Berg , Justin Findlay

Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this…

偏微分方程分析 · 数学 2020-04-21 Mauro Garavello , Paola Goatin , Thibault Liard , Benedetto Piccoli

Connected and automated vehicles (CAVs) are expected to reshape traffic flow dynamics and present new challenges and opportunities for traffic flow modeling. While numerous studies have proposed optimal modeling and control strategies for…

偏微分方程分析 · 数学 2023-12-01 Saeed Mohammadian , Zuduo Zheng , Md. Mazharul Haque , Ashish Bhaskar

We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density $\rho$ ahead. The averaging kernel is of exponential type: $w_\varepsilon(s)=\varepsilon ^{-1}…

偏微分方程分析 · 数学 2020-05-20 Alberto Bressan , Wen Shen

We consider traffic flow dynamics for a network of signalized intersections, where the outflow from every link is constrained to be equal to a given capacity function if the queue length is positive, and equal to the minimum of cumulative…

动力系统 · 数学 2017-09-13 Pouyan Hosseini , Ketan Savla

In this paper we consider the problem of estimating emissions due to vehicular traffic on complex networks, and minimizing their effect by regulating traffic at junctions. For the traffic evolution, we consider a Generic Second Order Model,…

物理与社会 · 物理学 2022-03-10 Caterina Balzotti , Maya Briani , Benedetto Piccoli

The residual queue during a given study period (e.g., peak hour) is an important feature that should be considered when solving a traffic assignment problem under equilibrium for strategic traffic planning. Although studies have focused…

系统与控制 · 电气工程与系统科学 2025-01-14 Hao Fu , William H. K. Lam , Wei Ma , Yuxin Shi , Rui Jiang , Huijun Sun , Ziyou Gao

Many car-following models of traffic flow admit the possibility of absolute stability, a situation in which uniform traffic flow at any spacing is linearly stable. Near the threshold of absolute stability, these models can often be reduced…

斑图形成与孤子 · 物理学 2026-04-13 Douglas A. Kurtze

In this paper, we study mixed traffic systems that move along a single-lane ring-road or open-road. The traffic flow forms a platoon, which includes a number of heterogeneous human-driven vehicles (HDVs) together with only one connected and…

最优化与控制 · 数学 2021-07-29 Shima Sadat Mousavi , Somayeh Bahrami , Anastasios Kouvelas

Cooperative decision-making of Connected Autonomous Vehicles (CAVs) presents a longstanding challenge due to its inherent nonlinearity, non-convexity, and discrete characteristics, compounded by the diverse road topologies encountered in…

机器人学 · 计算机科学 2024-01-11 Zhenmin Huang , Shaojie Shen , Jun Ma

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

统计力学 · 物理学 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

We introduce a traffic flow model that incorporates clustering and passing. We obtain analytically the steady state characteristics of the flow from a Boltzmann-like equation. A single dimensionless parameter, R=c_0v_0t_0 with c_0 the…

统计力学 · 物理学 2009-10-30 E. Ben-Naim , P. L. Krapivsky

Optimal transport is a fundamental topic that has attracted a great amount of attention from the optimization community in the past decades. In this paper, we consider an interesting discrete dynamic optimal transport problem: can we…

数据结构与算法 · 计算机科学 2024-01-30 Xiaoyang Xu , Hu Ding

Models for vehicle dynamics play an important role in maneuver planning for automated driving. They are used to derive trajectories from given control inputs, or to evaluate a given trajectory in terms of constraint violation or optimality…

机器人学 · 计算机科学 2024-05-15 J. R. Ziehn , M. Ruf , M. Roschani , J. Beyerer

How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are interested in this question which we reformulate as an optimal control problem.…

最优化与控制 · 数学 2023-10-25 Mickael Bestard , Emmanuel Franck , Laurent Navoret , Yannick Privat

Motivated by the computational difficulties incurred by popular deep learning algorithms for the generative modeling of temporal densities, we propose a cheap alternative which requires minimal hyperparameter tuning and scales favorably to…

机器学习 · 统计学 2023-10-13 Jonah Botvinick-Greenhouse , Yunan Yang , Romit Maulik

In this paper, we introduce a neural network-based method to address the high-dimensional dynamic unbalanced optimal transport (UOT) problem. Dynamic UOT focuses on the optimal transportation between two densities with unequal total mass,…

最优化与控制 · 数学 2024-09-23 Wei Wan , Jiangong Pan , Yuejin Zhang , Chenglong Bao , Zuoqiang Shi

Under general assumptions on the velocity field, it is possible to construct a flow that is forward untangled. Once such a flow has been selected, the associated transport problem is well-posed.

偏微分方程分析 · 数学 2020-08-14 Sholeh Karimghasemi , Siegfried Müller , Michael Westdickenberg