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The symbiotic branching model describes the dynamics of a spatial two-type population, where locally particles branch at a rate given by the frequency of the other type combined with nearest-neighbour migration. This model generalizes…

Probability · Mathematics 2021-07-01 Jochen Blath , Marcel Ortgiese

Agent-based models (ABM) are gaining traction as one of the most powerful modelling tools within the social sciences. They are particularly suited to simulating complex systems. Despite many methodological advances within ABM, one of the…

Multiagent Systems · Computer Science 2020-03-27 Le-Minh Kieu , Nicolas Malleson , Alison Heppenstall

Urban traffic regulation policies are increasingly used to address congestion, emissions, and accessibility in cities, yet their impacts are difficult to assess due to the socio-technical complexity of urban mobility systems. Recent…

Computers and Society · Computer Science 2026-03-13 Arianna Burzacchi , Marco Pistore

The increasing rate of urbanization has added pressure on the already constrained transportation networks in our communities. Ride-sharing platforms such as Uber and Lyft are becoming a more commonplace, particularly in urban environments.…

Computer Science and Game Theory · Computer Science 2018-03-01 Chinmaya Samal , Liyuan Zheng , Fangzhou Sun , Lillian J. Ratliff , Abhishek Dubey

Over the past decade, there has been a surge of interest in the transport community in the application of agent-based simulation models to evaluate flexible transit solutions characterized by different degrees of short-term flexibility in…

Multiagent Systems · Computer Science 2022-11-22 David Leffler , Wilco Burghout , Oded Cats , Erik Jenelius

In the real-world, self-driving vehicles are required to achieve steering maneuvers in both uncontrolled and uncertain environments while maintaining high levels of safety and passengers' comfort. Ignoring these requirements would…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Yasir K. Al-Nadawi , Hothaifa Al-Qassab , Daniel Kent , Su Pang , Vaibhav Srivastava , Hayder Radha

This paper is an extended abstract on a traffic model for the train dynamics on a metro line with a junction. The dynamic model includes control laws on the dwell and on the run time, taking into account the passenger travel demand. Our…

Optimization and Control · Mathematics 2018-11-21 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

In this paper, a novel dual-sensing driver fatigue detection method combining computer vision and physiological signal analysis is proposed. The system exploits the complementary advantages of the two sensing modalities and breaks through…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Leon C. C. K , Zeng Hui

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

Mathematical Physics · Physics 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

Traffic is essential for many dynamic processes on real networks, such as internet and urban traffic systems. The transport efficiency of the traffic system can be improved by taking full advantage of the resources in the system. In this…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 J. -Q. Dong , Z. -G. Huang , Z. Zhou , L. Huang , Z. -X. Wu , Y. Do , Y. -H. Wang

Mass transit systems are experiencing increasing congestion in many cities. The schedule-based transit assignment problem (STAP) involves a joint choice model for departure times and routes, defining a space-time path in which passengers…

Optimization and Control · Mathematics 2025-05-29 Xia Zhou , Mark Wallace , Daniel D. Harabor , Zhenliang Ma

We derive a self-duality relation for a one-dimensional model of branching and annihilating random walkers with an even number of offsprings. With the duality relation and by deriving exact results in some limiting cases involving fast…

Statistical Mechanics · Physics 2009-10-31 K. Mussawisade , J. E. Santos , G. M. Schütz , ;

We consider the impact of scheduling disciplines on performance of routing in the framework of adversarial queuing. We propose an adversarial model which reflects stalling of packets due to transient failures and explicitly incorporates…

Networking and Internet Architecture · Computer Science 2018-12-31 Bogdan S. Chlebus , Vicent Cholvi , Dariusz R. Kowalski

Bus bunching is a curse of transportation systems such as buses in a loop. Here we present an analytical method to find the number of revolutions before two buses bunch in an idealised system, as a function of the initial distance and the…

Statistical Mechanics · Physics 2021-04-30 Luca Vismara , Vee-Liem Saw , Lock Yue Chew

The lack of GPS data limits the ability to reconstruct the actual routes taken by cyclists in urban areas. This article introduces an inference method based solely on trip durations and origin-destination pairs from bike-sharing system…

Applications · Statistics 2025-12-18 Bertrand Jouve , Paul Rochet , Mohamadou Salifou

This study introduces a dynamic bus lane (DBL) strategy, referred to as the dynamic bus priority lane (DBPL) strategy, designed for mixed traffic environments featuring both manual and automated vehicles. Unlike previous DBL strategies,…

Optimization and Control · Mathematics 2025-03-03 Haoran Li , Zhenzhou Yuan , Rui Yue , Guangchuan Yang , Fan Zhang , Zong Tian , Chuang Zhu

By adapting bus routes to users' requests, Demand-Responsive Transit (DRT) can serve low-demand areas more efficiently than conventional fixed-line buses. However, a main barrier to its adoption of DRT is its unpredictability, i.e., it is…

Physics and Society · Physics 2024-11-20 Pierfrancesco Leonardi , Vincenza Torrisi , Andrea Araldo , Matteo Ignaccolo

We study a simple transport model driven out of equilibrium by reservoirs at the boundaries, corresponding to the hydrodynamic limit of the symmetric simple exclusion process. We show that a nonlocal transformation of densities and currents…

Statistical Mechanics · Physics 2007-12-03 Julien Tailleur , Jorge Kurchan , Vivien Lecomte

We study a model of wireless networks where users move at speed s, which has the original feature of being defined through a fixed-point equation. Namely, we start from a two-class Processor-Sharing queue to model one representative cell of…

Probability · Mathematics 2019-09-11 Florian Simatos , Alain Simonian

We propose a route choice model in which traveler behavior is represented as a utility maximizing assignment of flow across an entire network under a flow conservation constraint}. Substitution between routes depends on how much they…

Econometrics · Economics 2021-09-23 Mogens Fosgerau , Mads Paulsen , Thomas Kjær Rasmussen