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We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

We consider a stable open queuing network as a steady non-equilibrium system of interacting particles. The network is completely specified by its underlying graphical structure, type of interaction at each node, and the Markovian transition…

Statistical Mechanics · Physics 2015-05-18 Vladimir Y. Chernyak , Michael Chertkov , David A. Goldberg , Konstantin Turitsyn

We investigate both experimentally and theoretically the traffic of particles flowing in microfluidic obstacle networks. We show that the traffic dynamics is a non-linear process: the particle current does not scale with the particle…

Statistical Mechanics · Physics 2015-05-19 Nicolas Champagne , Romain Vasseur , Adrien Montourcy , Denis Bartolo

In transportation and other types of facilities, various queues arise when the demands of service are higher than the supplies, and many point and fluid queue models have been proposed to study such queueing systems. However, there has been…

Dynamical Systems · Mathematics 2014-05-30 Wen-Long Jin

Lyapunov drift and Lyapunov optimization are powerful techniques for optimizing time averages in stochastic queueing networks subject to stability. However, there are various definitions of queue stability in the literature, and the most…

Optimization and Control · Mathematics 2010-10-28 Michael J. Neely

Consider a (logical) link between two distributed data centers with available bandwidth designated for both deadline-driven elastic traffic, such as for scheduled synchronization services, and profitable inelastic traffic, such as for…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Patrick Kreidl

We consider a switched network, a fairly general constrained queueing network model that has been used successfully to model the detailed packet-level dynamics in communication networks, such as input-queued switches and wireless networks.…

Networking and Internet Architecture · Computer Science 2010-04-01 Devavrat Shah , John N. Tsitsiklis , Yuan Zhong

This work addresses the problem of autonomous traffic management at an isolated intersection for connected and automated vehicles. We decompose the trajectory of each vehicle into two phases: the provisional phase and the coordinated phase.…

Optimization and Control · Mathematics 2021-10-22 Darshan Gadginmath , Pavankumar Tallapragada

The interest in developing smart cities has increased dramatically in recent years. In this context an intelligent transportation system depicts a major topic. The forecast of traffic flow is indispensable for an efficient intelligent…

Machine Learning · Computer Science 2020-06-09 Ralf Rüther , Andreas Klos , Marius Rosenbaum , Wolfram Schiffmann

In several important routing contexts it is required to identify a set of routes, each of which optimizes a different criterion. For instance, in the context of vehicle routing, one route would minimize the total distance traveled, while…

Networking and Internet Architecture · Computer Science 2020-08-25 Ido Zoref , Ariel Orda

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

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

We consider a generalized processing system having several queues, where the available service rate combinations are fluctuating over time due to reliability and availability variations. The objective is to allocate the available resources,…

Networking and Internet Architecture · Computer Science 2011-05-04 Kevin Ross , Nicholas Bambos , George Michailidis

In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a…

Networking and Internet Architecture · Computer Science 2009-06-29 B. Rezaie , MR. Jahed Motlagh , M. Analoui , S. Khorsandi

In this paper, we study joint queue-aware and channel-aware scheduling of arbitrarily bursty traffic over multi-state time-varying channels, where the bursty packet arrival in the network layer, the backlogged queue in the data link layer,…

Information Theory · Computer Science 2016-06-06 Meng Wang , Juan Liu , Wei Chen

Traffic congestion has lead to an increasing emphasis on management measures for a more efficient utilization of existing infrastructure. In this context, this paper proposes a novel framework that integrates real-time optimization of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Samarth Gupta , Ravi Seshadri , Bilge Atasoy , A. Arun Prakash , Francisco Pereira , Gary Tan , Moshe Ben-Akiva

In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson process and packet sizes (hence service…

Probability · Mathematics 2015-08-28 Wanyang Dai

Recent work in decentralized, schedule-driven traffic control has demonstrated the ability to improve the efficiency of traffic flow in complex urban road networks. In this approach, a scheduling agent is associated with each intersection.…

Artificial Intelligence · Computer Science 2019-07-04 Hsu-Chieh Hu , Stephen F. Smith

The path-preference traffic flow cellular automaton is suggested to model the dynamics of transcription. The main difference from the simple traffic flow model is that it contains another preferential paths at some sites. In this paper, we…

Cellular Automata and Lattice Gases · Physics 2017-12-27 Yoichi Nakata , Yoshihiro Ohta , Sigeo Ihara

Let $X$ be the constrained random walk on ${\mathbb Z}_+^2$ with increments $(1,0)$, $(-1,0)$, $(0,1)$ and $(0,-1)$; $X$ represents, at arrivals and service completions, the lengths of two queues working in parallel whose service and…

Probability · Mathematics 2018-06-05 Kamil Demirberk Ünlü , Ali Devin Sezer

We propose a stochastic model for the intersection of two urban streets. The vehicular traffic at the intersection is controlled by a set of traffic lights which can be operated subject to fix-time as well as traffic adaptive schemes.…

Condensed Matter · Physics 2012-03-19 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani