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We evaluate the robustness of agents' traffic equilibria in randomized routing games characterized by an uncertain network demand with a possibly unknown probability distribution. Specifically, we extend the so-called hose model by…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Filippo Fabiani

Iterating between a router and a traffic micro-simulation is an increasibly accepted method for doing traffic assignment. This paper, after pointing out that the analytical theory of simulation-based assignment to-date is insufficient for…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kai Nagel , Marcus Rickert , Patrice M. Simon , Martin Pieck

Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal…

Physics and Society · Physics 2013-10-21 Mark J Panaggio , Bertrand J Ottino-Löffler , Peiguang Hu , Daniel M Abrams

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…

Analysis of PDEs · Mathematics 2016-03-25 Ke Han , Vikash Gayah , Benedetto Piccoli , Terry L. Friesz , Tao Yao

In this paper, we aim at developing new methods to join machine learning techniques and macroscopic differential models for vehicular traffic estimation and forecast. It is well known that data-driven and model-driven approaches have…

Machine Learning · Computer Science 2024-12-06 Maya Briani , Emiliano Cristiani , Elia Onofri

Plasmodium stage of Physarum polycephalum behaves as a distributed dynamical pattern formation mechanism who's foraging and migration is influenced by local stimuli from a wide range of attractants and repellents. Complex protoplasmic tube…

Biological Physics · Physics 2012-04-10 Soichiro Tsuda , Jeff Jones , Andrew Adamatzky , Jonathan Mills

Foundation models have shown great promise in various fields of study. A potential application of such models is in computer network traffic analysis, where these models can grasp the complexities of network traffic dynamics and adapt to…

Machine Learning · Computer Science 2024-09-13 Louis Van Langendonck , Ismael Castell-Uroz , Pere Barlet-Ros

Microscopic traffic simulation plays a crucial role in transportation engineering by providing insights into individual vehicle behavior and overall traffic flow. However, creating a realistic simulator that accurately replicates human…

Artificial Intelligence · Computer Science 2024-05-24 Ke Guo , Zhenwei Miao , Wei Jing , Weiwei Liu , Weizi Li , Dayang Hao , Jia Pan

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

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…

Physics and Society · Physics 2009-09-02 L. C. Davis

In this paper, we present a novel algorithm to address the Network Alignment problem. It is inspired from a previous message passing framework of Bayati et al. [2] and includes several modifications designed to significantly speed up the…

Machine Learning · Computer Science 2022-01-03 Elie Mengin , Fabrice Rossi

The usage of the mobile app is unassailable in this digital era. While tons of data are generated daily, user privacy security concerns become an important issue. Nowadays, tons of techniques, such as machine learning and deep learning…

Cryptography and Security · Computer Science 2023-02-08 Lichun Gao , Mingjie Zeng , Zhanhong Huang

This study establishes Markovian traffic equilibrium assignment based on the network generalized extreme value (NGEV) model, which we call NGEV equilibrium assignment. The use of the NGEV model for route choice modeling has recently been…

Optimization and Control · Mathematics 2022-09-07 Yuki Oyama , Yusuke Hara , Takashi Akamatsu

The Static User Equilibrium is a powerful framework for the theoretical study of traffic. Despite the restricting assumption of stationary flows that intuitively limit its application to real traffic systems, many operational models…

Physics and Society · Physics 2016-08-19 Juste Raimbault

One of the potential capabilities of Connected and Autonomous Vehicles (CAVs) is that they can have different route choice behavior and driving behavior compared to human Driven Vehicles (HDVs). This will lead to mixed traffic flow with…

Systems and Control · Electrical Eng. & Systems 2023-01-27 Behzad Bamdad Mehrabani , Jakob Erdmann , Luca Sgambi , Seyedehsan Seyedabrishami , Maaike Snelder

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…

Optimization and Control · Mathematics 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra

The inefficiency of selfish routing in congested networks is a classical problem in algorithmic game theory, often captured by the Price of Anarchy (i.e., the ratio between the social cost of decentralized decisions and that of a centrally…

Computer Science and Game Theory · Computer Science 2025-08-12 Ivan Geffner , Erez Karpas , Moshe Tennenholtz

To study gap acceptance behaviour one needs the distribution (or probability density function) of gaps in the opposing stream. Further, in these times of widespread availability of large computing powers, traffic simulation has emerged as a…

Applications · Statistics 2025-12-10 Ankita Sharma , Partha Chakroborty , Pranamesh Chakraborty

Traffic flow prediction plays an important role in Intelligent Transportation Systems in traffic management and urban planning. There have been extensive successful works in this area. However, these approaches focus only on modelling the…

Artificial Intelligence · Computer Science 2025-04-22 Li Shijiao , Ma Zhipeng , He Huajun , Chen Haiyue

In this short paper we describe natural logit population games dynamics that explain equilibrium models of origin-destination matrix estimation and (stochastic) traffic assignment models (Beckmann, Nesterov--de Palma). Composition of the…

Optimization and Control · Mathematics 2023-01-27 Evgenia Gasnikova , Alexander Gasnikov , Yaroslav Kholodov , Anastasiya Zukhba