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This paper is concerned with a dynamic traffic network performance model, known as dynamic network loading (DNL), that is frequently employed in the modeling and computation of analytical dynamic user equilibrium (DUE). As a key component…

Optimization and Control · Mathematics 2015-03-24 Ke Han , Terry L. Friesz

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

In this paper we propose a LWR-like model for traffic flow on networks which allows one to track several groups of drivers, each of them being characterized only by their destination in the network. The path actually followed to reach the…

Optimization and Control · Mathematics 2016-06-17 Emiliano Cristiani , Fabio S. Priuli

Routing strategies for traffics and vehicles have been historically studied. However, in the absence of considering drivers' preferences, current route planning algorithms are developed under ideal situations where all drivers are expected…

Robotics · Computer Science 2021-05-04 Jizhe Zhou , Qiwei Chen , Qin Li

Modeling of urban traffic flows is required due to the complexity of their successful forecasting, as well as due to the impact of various random factors on them, and the complexity of transport systems in modern cities. Forecasting of…

Physics and Society · Physics 2023-05-02 Yekimov Sergiy

Departure time management is an efficient way in addressing the peak-hour crowding in public transport by reducing the temporal imbalance between service supply and travel demand. From the demand management perspective, the problem is to…

Optimization and Control · Mathematics 2025-05-27 Xia Zhou , Zhenliang Ma , Mark Wallace , Daniel D. Harabor

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with…

Optimization and Control · Mathematics 2016-09-26 Mattia Bongini , Giuseppe Buttazzo

Balancing traffic flow by influencing drivers' route choices to alleviate congestion is becoming increasingly more appealing in urban traffic planning. Here, we introduce a discrete dynamical model comprising users who make their own…

Physics and Society · Physics 2020-09-09 Bo Li , David Saad , Andrey Y. Lokhov

State-of-the-art driver-assist systems have failed to effectively mitigate driver inattention and had minimal impacts on the ever-growing number of road mishaps (e.g. life loss, physical injuries due to accidents caused by various factors…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Qizi Zhang , Venkata Sriram Siddhardh Nadendla , S. N. Balakrishnan , Jerome Busemeyer

A generic method for dynamic assignment used with microsimulation of pedestrian dynamics is introduced. As pedestrians - unlike vehicles - do not move on a network, but on areas they in principle can choose among an infinite number of…

Computational Engineering, Finance, and Science · Computer Science 2014-02-10 Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß , Axel Leonhardt

One of the primary challenges in urban autonomous vehicle decision-making and planning lies in effectively managing intricate interactions with diverse traffic participants characterized by unpredictable movement patterns. Additionally,…

Multiagent Systems · Computer Science 2025-05-19 Keqi Shu , Minghao Ning , Ahmad Alghooneh , Shen Li , Mohammad Pirani , Amir Khajepour

We use a method of Luczak (arXiv:1212.3231) to investigate the equilibrium distribution of a dynamic routing model on a network. In this model, there are $n$ nodes, each pair joined by a link of capacity $C$. For each pair of nodes, calls…

Probability · Mathematics 2013-06-24 Graham Brightwell , Malwina Luczak

The topologies of predictable dynamic networks are continuously dynamic in terms of node position, network connectivity and link metric. However, their dynamics are almost predictable compared with the ad-hoc network. The existing routing…

Networking and Internet Architecture · Computer Science 2018-08-20 Zengyin Yang , Qian Wu , Zhize Li , Hewu Li , Jianping Wu

The user equilibrium in traffic assignment problem is based on the fact that travelers choose the minimum-cost path between every origin-destination pair and on the assumption that such a behavior will lead to an equilibrium of the traffic…

Artificial Intelligence · Computer Science 2014-06-10 Yang Liu , Xiaoge Zhang , Yong Deng

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,…

Optimization and Control · Mathematics 2024-09-23 Wei Wan , Jiangong Pan , Yuejin Zhang , Chenglong Bao , Zuoqiang Shi

To explain day-to-day (DTD) route-choice behaviors and traffic dynamics observed in a series of lab experiments, Part I of this research proposed a discrete choice-based analytical dynamic model (Qi et al., 2023). Although the deterministic…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

Dynamic/kinematic model is of great significance in decision and control of intelligent vehicles. However, due to the singularity of dynamic models at low speed, kinematic models have been the only choice under many driving scenarios. This…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Qiang Ge , Shengbo Eben Li , Qi Sun , Sifa Zheng

In this paper, we investigate the dynamic emergence of traffic order in a distributed multi-agent system, aiming to minimize inefficiencies that stem from unnecessary structural impositions. We introduce a methodology for developing a…

Multiagent Systems · Computer Science 2025-01-28 Anahita Jain , Husni R. Idris , John-Paul Clarke

An urban traffic system is a heterogeneous system, which consists of different types of intersections and dynamics. In this paper, we focus on one type of heterogeneous traffic network, which consists of signalized junctions and…

Optimization and Control · Mathematics 2017-05-11 Yicheng Zhang , Rong Su , Yi Zhang , Chunyang Sun

This paper proposes a general equilibrium model for multi-passenger ridesharing systems, in which interactions between ridesharing drivers, passengers, platforms, and transportation networks are endogenously captured. Stable matching is…

General Economics · Economics 2023-12-06 Rui Yao , Shlomo Bekhor