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This paper applies a discrete adjoint gradient computation method for a multi-class traffic flow model on road networks. Vehicle classes are characterized by their specific velocity functions, which depend on the total traffic density,…

Analysis of PDEs · Mathematics 2026-04-02 Paola Goatin , Axel Klar , Carmen Mezquita-Nieto

Traffic congestion continues to escalate with urbanization and socioeconomic development, necessitating advanced modeling to understand and mitigate its impacts. In large-scale networks, traffic congestion can be studied using cascade…

Physics and Society · Physics 2025-02-20 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou , Bert Zwart

Numerous networks, such as transportation, distribution and delivery networks optimize their designs in order to increase efficiency and lower costs, improving the stability of its intended functions, etc. Networks that distribute goods,…

Physics and Society · Physics 2020-03-26 Fabricio L. Forgerini , Orahcio F. de Sousa

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

Transportation and distribution networks are a class of spatial networks that have been of interest in recent years. These networks are often characterized by the presence of complex structures such as central loops paired with peripheral…

Physics and Society · Physics 2023-01-23 Sebastiano Bontorin , Giulia Cencetti , Riccardo Gallotti , Bruno Lepri , Manlio De Domenico

Urban flooding disrupts traffic networks, affecting the mobility and disrupting access of residents. Since flooding events are predicted to increase due to climate change, and given the criticality of traffic networks, understanding the…

Physics and Society · Physics 2022-10-04 Akhil Anil Rajput , Sanjay Nayak , Shangjia Dong , Ali Mostafavi

We analyze different strategies aimed at optimizing routing policies in the Internet. We first show that for a simple deterministic algorithm the local properties of the network deeply influence the time needed for packet delivery between…

Other Condensed Matter · Physics 2007-12-19 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno

This paper analyzes the time-dependent relationship between the mean and variance of travel time on a single corridor under rush hour like congestion patterns. To model this phenomenon, we apply the LWR ((Lighthill & Whitham, 1955),…

Physics and Society · Physics 2025-08-28 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Data analysis and monitoring of road networks in terms of reliability and performance are valuable but hard to achieve, especially when the analytical information has to be available to decision makers on time. The gathering and analysis of…

Computers and Society · Computer Science 2018-06-18 Alejandro Vera-Baquero , Ricardo Colomo-Palacios

We study the earliest arrival problem in road networks with static time-dependent functions as arc weights. We propose and evaluate the following simple algorithm: (1) average the travel time in k time windows, (2) compute a shortest…

Data Structures and Algorithms · Computer Science 2017-07-03 Ben Strasser

Transportation planning depends on predictions of the travel times between loading and unloading locations. While accurate techniques exist for making deterministic predictions of travel times based on real-world data, making stochastic…

Applications · Statistics 2018-08-22 Rodrigo Goncalves , Rui J. de Almeida , Remco M. Dijkman

In this paper, we study a routing and travel-mode choice problem for mobility systems with a multimodal transportation network as a ``mobility game" with coupled action sets. We develop a game-theoretic framework to study the impact on…

Computer Science and Game Theory · Computer Science 2022-12-15 Ioannis Vasileios Chremos , Andreas A. Malikopoulos

We present in this paper a method to estimate urban traffic state with communicating vehicles. Vehicles moving on the links of the urban road network form queues at the traffic lights. We assume that a proportion of vehicles are equipped…

Systems and Control · Computer Science 2020-02-28 Cyril Nguyen Van Phu , Nadir Farhi

We present a simple yet effective routing strategy inspired by coverage control, which delays the onset of congestion on traffic networks, by introducing a control parameter. The routing algorithm allows a trade-off between the congestion…

Networking and Internet Architecture · Computer Science 2015-08-17 Timothy Barker , Chao Zhai , Mario di Bernardo

This paper proposes an approach to perform travel demand calibration for high-resolution stochastic traffic simulators. It employs abundant travel times at the path-level, departing from the standard practice of resorting to scarce…

Emerging Technologies · Computer Science 2025-01-10 Chao Zhang , Yechen Li , Neha Arora , Damien Pierce , Carolina Osorio

The unavoidable travel time variability in transportation networks, resulted from the widespread supply side and demand side uncertainties, makes travel time reliability (TTR) be a common and core interest of all the stakeholders in…

General Economics · Economics 2022-12-13 Zhaoqi Zang , Xiangdong Xu , Kai Qu , Ruiya Chen , Anthony Chen

Network calculus is often used to prove delay bounds in deterministic networks, using arrival and service curves. We consider a FIFO system that offers a rate-latency service curve and where packet transmission occurs at line rate without…

Networking and Internet Architecture · Computer Science 2020-08-10 Ehsan Mohammadpour , Elena Stai , Jean-Yves Le Boudec

Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

In this note, we propose a case study of freeway traffic flow modeled as a hybrid system. We describe two general classes of networks that model flow along a freeway with merging onramps. The admission rate of traffic flow from each onramp…

Systems and Control · Computer Science 2018-03-02 Samuel Coogan , Murat Arcak

The concept of resilience can be realized in natural and engineering systems, representing the ability of system to adapt and recover from various disturbances. Although resilience is a critical property needed for understanding and…

Physics and Society · Physics 2019-06-19 Limiao Zhang , Guanwen Zeng , Daqing Li , Hai-Jun Huang , H. Eugene Stanley , Shlomo Havlin