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A Wardrop equilibrium for multiple routes requires equal travel time on each path used. With real-time traffic data regarding travel times, it is important to analyze how to use the information provided. In particular, can a Wardrop…

物理与社会 · 物理学 2009-09-02 L. C. Davis

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

动力系统 · 数学 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Vehicle bypassing is known to negatively affect delays at traffic diverges. However, due to the complexities of this phenomenon, accurate and yet simple models of such lane change maneuvers are hard to develop. In this work, we present a…

计算机科学与博弈论 · 计算机科学 2018-09-11 Negar Mehr , Ruolin Li , Roberto Horowitz

In this paper we carry out a computational study of a novel microscopic follow-the-leader model for traffic flow on road networks. We assume that each driver has its own origin and destination, and wants to complete its journey in minimal…

最优化与控制 · 数学 2025-11-19 Emiliano Cristiani , Francesca L. Ignoto

When optimizing transportation systems, anticipating traffic flows is a central element. Yet, computing such traffic equilibria remains computationally expensive. Against this background, we introduce a novel combinatorial optimization…

机器学习 · 计算机科学 2024-10-10 Kai Jungel , Dario Paccagnan , Axel Parmentier , Maximilian Schiffer

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

数值分析 · 数学 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with…

偏微分方程分析 · 数学 2007-05-23 G. M. Coclite , B. Piccoli

In the era of connected and automated mobility, commuters will possess strong computation power, enabling them to strategically make sequential travel choices over a planning horizon. This paper investigates the multiday traffic patterns…

最优化与控制 · 数学 2024-08-15 Minghui Wu , Yafeng Yin , Jerome P. Lynch

We study the distribution of traffic in networks whose users try to minimise their delays by adhering to a simple learning scheme inspired by the replicator dynamics of evolutionary game theory. The stable steady states of these dynamics…

概率论 · 数学 2010-02-27 Panayotis Mertikopoulos , Aris L. Moustakas

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

物理与社会 · 物理学 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

When making route decisions, travelers may engage in a certain degree of reasoning about what the others will do in the upcoming day, rendering yesterday's shortest routes less attractive. This phenomenon was manifested in a recent virtual…

综合经济学 · 经济学 2025-06-23 Minyu Shen , Feng Xiao , Weihua Gu , Hongbo Ye

Traffic navigation services have gained widespread adoption in recent years. The route recommendations generated by these services often leads to severe congestion on urban streets, raising concerns from neighboring residents and city…

系统与控制 · 电气工程与系统科学 2019-08-21 Manxi Wu , Saurabh Amin

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…

系统与控制 · 电气工程与系统科学 2019-07-17 Ben Benzaman , Erfan Pakdamanian

Advanced traffic navigation systems, which provide routing recommendations to drivers based on real-time congestion information, are nowadays widely adopted by roadway transportation users. Yet, the emerging effects on the traffic dynamics…

最优化与控制 · 数学 2023-12-19 Gianluca Bianchin , Fabio Pasqualetti

This paper is concerned with a conservation law model of traffic flow on a network of roads, where each driver chooses his own departure time in order to minimize the sum of a departure cost and an arrival cost. The model includes various…

偏微分方程分析 · 数学 2016-03-28 Alberto Bressan , Ke Han

The concept of Wardrop equilibrium plays an important role in congested traffic problems since its introduction in the early 50's. As shown in [2], when we work in two-dimensional cartesian and increasingly dense networks, passing to the…

最优化与控制 · 数学 2015-07-01 Roméo Hatchi

A simple macroscopic model for the vehicular traffic flow with hysteresis is proposed. The model includes drivers' hysteresis behavior into the classical Lighthill-Whitham-Richard (LWR) model. One novelty of the model is how the hysteresis…

偏微分方程分析 · 数学 2018-11-02 Andrea Corli , Haitao Fan

The objective of this paper is to initiate a qualitative analysis of dynamic flow in traffic networks by using the competitive equilibrium model of multiple market systems. A network is modeled as a dynamic graph where routes (edges) are…

系统与控制 · 计算机科学 2017-11-30 Dragoslav D. Šiljak

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

偏微分方程分析 · 数学 2023-07-06 Kuang Huang , Qiang Du

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…

最优化与控制 · 数学 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra
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