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Adaptive management of traffic congestion in the Internet is a complex problem that can gain useful insights from a dynamical approach. In this paper we propose and analyze a one-dimensional, discrete-time nonlinear model for Internet…

Optimization and Control · Mathematics 2025-01-22 José M. Amigó , Guillem Duran , Angel Giménez , Oscar Martínez-Bonastre , José Valero

Recent literature has proved that stable dynamic routing algorithms have solid theoretical foundation that makes them suitable to be implemented in a real protocol, and used in practice in many different operational network contexts. Such…

Networking and Internet Architecture · Computer Science 2008-12-18 Luca Muscariello , Diego Perino

Urban traffic congestion, particularly at intersections, significantly affects travel time, fuel consumption, and emissions. Traditional fixed-time signal control systems often lack the adaptability to effectively manage dynamic traffic…

Artificial Intelligence · Computer Science 2025-12-01 Saahil Mahato

We present a model of traffic flow on generic urban road networks based on cellular automata. We apply this model to an existing road network in the Australian city of Melbourne, using empirical data as input. For comparison, we also apply…

Cellular Automata and Lattice Gases · Physics 2011-04-28 Jan de Gier , Timothy M Garoni , Omar Rojas

We study a multiclass M/M/1 queueing control problem with finite buffers under heavy-traffic where the decision maker is uncertain about the rates of arrivals and service of the system and by scheduling and admission/rejection decisions…

Probability · Mathematics 2019-03-19 Asaf Cohen

Control of complex turbulent dynamical systems involving strong nonlinearity and high degrees of internal instability is an important topic in practice. Different from traditional methods for controlling individual trajectories, controlling…

Dynamical Systems · Mathematics 2023-07-31 Jeffrey Covington , Di Qi , Nan Chen

In this work we study the problem of asymptotically optimal control of a well-known multi-class queuing network, referred to as the ``crisscross network,'' in heavy traffic. We consider exponential inter-arrival and service times, linear…

Probability · Mathematics 2007-05-23 Amarjit Budhiraja , Arka Prasanna Ghosh

This paper highlights several properties of large urban networks that can have an impact on machine learning methods applied to traffic signal control. In particular, we show that the average network flow tends to be independent of the…

Machine Learning · Computer Science 2022-09-07 Jorge Laval , Hao Zhou

This study introduces a novel methodology for managing train network disruptions across the entire rail network, leveraging digital tools and methodologies. The approach involves two stages, taking into account possible and practical…

Optimization and Control · Mathematics 2024-12-30 Shayan Bafandkar , Yousef Shafahi , Alireza Eslami , Alireza Yazdiani

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · Physics 2009-10-28 Kai Nagel , Maya Paczuski

Motivated by emerging applications in online matching platforms and marketplaces, we study a matching queue. Customers and servers that arrive in a matching queue depart as soon as they are matched. While state-dependent control is an…

Probability · Mathematics 2024-12-03 Sushil Mahavir Varma , Siva Theja Maguluri

Learning-based traffic signal control is typically optimized for average performance under a few nominal demand patterns, which can result in poor behavior under atypical traffic conditions. To address this, we develop a distributionally…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Shuwei Pei , Joran Borger , Arda Kosay , Muhammed O. Sayin , Saeed Ahmed

Macroscopic traffic flow models are essential for analysing traffic dynamics in highways and urban roads. While second-order models like METANET capture non-equilibrium traffic states, they often produce unrealistic speed predictions, such…

Physics and Society · Physics 2025-03-25 Weiming Zhao , Claudio Roncoli , Mehmet Yildirimoglu

To tackle ever-increasing city traffic congestion problems, researchers have proposed deep learning models to aid decision-makers in the traffic control domain. Although the proposed models have been remarkably improved in recent years,…

Machine Learning · Computer Science 2022-08-10 Hyunwook Lee , Cheonbok Park , Seungmin Jin , Hyeshin Chu , Jaegul Choo , Sungahn Ko

This paper presents a novel two-level control architecture for a fully autonomous vehicle in a deterministic environment, which can handle traffic rules as specifications and low-level vehicle control with real-time performance. At the top…

Robotics · Computer Science 2021-05-07 Erfan Aasi , Cristian Ioan Vasile , Calin Belta

Real-time traffic flow prediction can not only provide travelers with reliable traffic information so that it can save people's time, but also assist the traffic management agency to manage traffic system. It can greatly improve the…

Machine Learning · Statistics 2018-08-17 Zeren Tan , Ruimin Li

Dynamical systems governed by priority rules appear in the modeling of emergency organizations and road traffic. These systems can be modeled by piecewise linear time-delay dynamics, specifically using Petri nets with priority rules. A…

Optimization and Control · Mathematics 2024-11-20 Xavier Allamigeon , Pascal Capetillo , Stephane Gaubert

The propagation of traffic congestion along roads is a commonplace nonlinear phenomenon. When many roads are connected in a network, congestion can spill from one road to others as drivers queue to enter a congested road, creating further…

Systems and Control · Computer Science 2019-06-18 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

In this paper, we consider a dynamic equilibrium transportation problem. There is a fixed number of cars moving from origin to destination areas. Preferences for arrival times are expressed as a cost of arriving before or after the…

Optimization and Control · Mathematics 2024-09-02 Victoria Guseva , Ilya Sklonin , Irina Podlipnova , Demyan Yarmoshik , Alexander Gasnikov

In this paper, we study the well-posedness and approximate controllability of a class of network systems having delays and controls at the boundary conditions. The particularity of this work is that the network system is defined on infinite…

Optimization and Control · Mathematics 2022-08-24 Y. El Gantouh , S. Hadd , A. Rhandi