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In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

Mathematical Physics · Physics 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

In this paper we present the discrete-time networked SIR and SEIR models and present assumptions under which they are well defined. We analyze the limiting behavior of the models and present necessary and sufficient conditions for…

Optimization and Control · Mathematics 2020-11-25 Damir Vrabac , Raphael Stern , Philip E. Paré

In this paper, we develop a mechanical system inspired microscopic traffic model to characterize the longitudinal interaction dynamics among a chain of vehicles. In particular, we extend our prior work on mass-spring-damper-clutch based…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Mohammad R. Hajidavalloo , Zhaojian Li , Dong Chen , Ali Louati , Shuo Feng , Wubing B. Qin

Autonomous vehicles are expected to navigate in complex traffic scenarios with multiple surrounding vehicles. The correlations between road users vary over time, the degree of which, in theory, could be infinitely large, thus posing a great…

Robotics · Computer Science 2019-10-24 Yaohui Guo , Vinay Varma Kalidindi , Mansur Arief , Wenshuo Wang , Jiacheng Zhu , Huei Peng , Ding Zhao

Autonomous vehicles hold great promise in improving the future of transportation. The driving models used in these vehicles are based on neural networks, which can be difficult to validate. However, ensuring the safety of these models is…

Robotics · Computer Science 2023-09-14 Maximilian Zipfl , Sven Spickermann , J. Marius Zöllner

A wide variety of sensor technologies are recently being adopted for traffic monitoring applications. Since most of these technologies rely on wired infrastructure, the installation and maintenance costs limit the deployment of the traffic…

Networking and Internet Architecture · Computer Science 2023-03-17 Halit Bugra Tulay , Can Emre Koksal

Autonomous driving is a major paradigm shift in transportation, with the potential to enhance safety, optimize traffic congestion, and reduce fuel consumption. Although autonomous vehicles rely on advanced sensors and on-board computing…

Networking and Internet Architecture · Computer Science 2025-04-22 Marcello Bullo , Amir Ashtari Gargari , Paolo Testolina , Michele Zorzi , Marco Giordani

We consider spatial stochastic models, which can be applied e.g. to telecommunication networks with two hierarchy levels. In particular, we consider two Cox processes concentrated on the edge set of a random tessellation, where the points…

Probability · Mathematics 2009-12-24 Florian Voss , Catherine Gloaguen , Volker Schmidt

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

Multiagent Systems · Computer Science 2013-02-05 Emanuele Rodaro , Öznur Yeldan

The meta distribution of the signal-to-interference-ratio (SIR) is an important performance indicator for wireless networks because, for ergodic point processes, it describes the fraction of scheduled links that achieve certain reliability,…

Information Theory · Computer Science 2020-08-27 Konstantinos Koufos , Carl P. Dettmann

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

We consider distributed consensus and vehicular formation control problems. Specifically we address the question of whether local feedback is sufficient to maintain coherence in large-scale networks subject to stochastic disturbances. We…

Optimization and Control · Mathematics 2013-04-23 Bassam Bamieh , Mihailo R. Jovanović , Partha Mitra , Stacy Patterson

The stationary isotropic Poisson line process was used to derive upper bounds on mean excess network geodesic length in Aldous and Kendall [Adv. in Appl. Probab. 40 (2008) 1-21]. The current paper presents a study of the geometry and…

Probability · Mathematics 2012-11-08 Wilfrid S. Kendall

A source traffic model for machine-to-machine communications is presented in this paper. We consider a model in which devices operate in a regular mode until they are triggered into an alarm mode by an alarm event. The positions of devices…

Networking and Internet Architecture · Computer Science 2017-09-05 Henning Thomsen , Carles Navarro Manchón , Bernard Henri Fleury

Transportation networks serve as windows into the complex world of urban systems. By properly characterizing a road network, we can therefore better understand its encompassing urban system. This study offers a geometrical approach towards…

Physics and Society · Physics 2015-07-15 Farideddin Peiravian , Sybil Derrible

In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We show in particular that the corresponding dynamical system,…

Probability · Mathematics 2007-05-23 A. Rybko , S. Shlosman

Understanding network flows such as commuter traffic in large transportation networks is an ongoing challenge due to the complex nature of the transportation infrastructure and of human mobility. Here we show a first-principles based method…

Physics and Society · Physics 2014-10-21 Yihui Ren , Mária Ercsey-Ravasz , Pu Wang , Marta C. González , Zoltán Toroczkai

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

In this paper, we consider coordinated movement of a network of vehicles consisting of a bounded number of malicious agents, that is, vehicles must reach consensus in longitudinal position and a common predefined velocity. The motions of…

Multiagent Systems · Computer Science 2021-07-30 Mostafa Safi , Seyed Mehran Dibaji , Mohammad Pirani

Novel vehicular communication methods are mostly analyzed simulatively or analytically as real world performance tests are highly time-consuming and cost-intense. Moreover, the high number of uncontrollable effects makes it practically…

Networking and Internet Architecture · Computer Science 2019-11-22 Benjamin Sliwa , Christian Wietfeld