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This note describes several open questions concerning scaling limits of queue-length processes of symmetric queues in heavy traffic, distinguishing between service-time distributions with finite and infinite variance.

Probability · Mathematics 2022-02-08 Bert Zwart

We introduce a family of heavy-traffic regimes for large scale service systems, presenting a range of scalings that include both moderate and extreme heavy traffic, as compared to classical heavy traffic. The heavy-traffic regimes can be…

Probability · Mathematics 2014-11-20 A. J. E. M. Janssen , Johan S. H. van Leeuwaarden , Britt W. J. Mathijsen

The proliferation of connected and automated vehicles (CAVs) has positioned mixed traffic environments, which encompass both CAVs and human driven vehicles (HDVs), as critical components of emerging mobility systems. Signalized…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Filippos N. Tzortzoglou , Logan E. Beaver , Andreas A. Malikopoulos

Since conventional approaches could not adapt to dynamic traffic conditions, reinforcement learning (RL) has attracted more attention to help solve the traffic signal control (TSC) problem. However, existing RL-based methods are rarely…

Machine Learning · Computer Science 2021-12-07 Qiang Wu , Liang Zhang , Jun Shen , Linyuan Lü , Bo Du , Jianqing Wu

Traffic signal control is of critical importance for the effective use of transportation infrastructures. The rapid increase of vehicle traffic and changes in traffic patterns make traffic signal control more and more challenging.…

Machine Learning · Computer Science 2021-12-08 Xingshuai Huang , Di Wu , Michael Jenkin , Benoit Boulet

Intelligent traffic signal controllers, applying DQN algorithms to traffic light policy optimization, efficiently reduce traffic congestion by adjusting traffic signals to real-time traffic. Most propositions in the literature however…

Machine Learning · Computer Science 2021-09-30 Romain Ducrocq , Nadir Farhi

Motivated by the fact that intelligent traffic control systems have become inevitable demand to cope with the risk of traffic congestion in urban areas, this paper develops a distributed control strategy for urban traffic networks. Since…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Viet Hoang Pham , Kazunori Sakurama , Shaoshuai Mou , Hyo-Sung Ahn

We extend Stochastic Flow Models (SFMs), used for a large class of discrete event and hybrid systems, by including the delays which typically arise in flow movement. We apply this framework to the multi-intersection traffic light control…

Systems and Control · Computer Science 2017-11-09 Rui Chen , Christos G. Cassandras

Connected Automated Vehicles (CAVs) offer unparalleled opportunities to revolutionize existing transportation systems. In the near future, CAVs and human-driven vehicles (HDVs) are expected to coexist, forming a mixed traffic system.…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Ximin Yue , Yunlong Zhang , Zihao Li , Yang Zhou

We have previously shown in an abstract simulation (Gershenson, 2005) that self-organizing traffic lights can improve greatly traffic flow for any density. In this paper, we extend these results to a realistic setting, implementing…

Adaptation and Self-Organizing Systems · Physics 2012-11-28 Seung-Bae Cools , Carlos Gershenson , Bart D'Hooghe

We propose here an autonomous traffic signal control model based on analogy with neural networks. In this model, the length of cycle time period of traffic lights at each signal is autonomously adapted. We find a self-organizing collective…

adap-org · Physics 2008-02-03 Toru Ohira

Time-dependent fixed-time control is a cost-effective control method that is widely employed at signalized intersections in numerous countries. Existing optimization models rely on traditional delay models with specific assumptions…

Optimization and Control · Mathematics 2024-08-01 Chaopeng Tan , Yumin Cao , Xuegang , Ban , Keshuang Tang

Reinforcement learning (RL) holds significant promise for adaptive traffic signal control. While existing RL-based methods demonstrate effectiveness in reducing vehicular congestion, their predominant focus on vehicle-centric optimization…

Machine Learning · Computer Science 2025-07-24 Bibek Poudel , Xuan Wang , Weizi Li , Lei Zhu , Kevin Heaslip

In this paper, we investigate traffic signal control in a network of interconnected intersections, aiming to balance lane-level vehicle densities through optimal green-time allocation. We develop a two-lane traffic flow model that…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Xinfeng Ru , Ting Bai , Weiguo Xia , Andreas A. Malikopoulos

This paper studies the problem of congestion control and scheduling in ad hoc wireless networks that have to support a mixture of best-effort and real-time traffic. Optimization and stochastic network theory have been successful in…

Networking and Internet Architecture · Computer Science 2009-12-13 Juan Jose Jaramillo , R. Srikant

We consider an input queued switch operating under the MaxWeight scheduling algorithm. This system is interesting to study because it is a model for Internet routers and data center networks. Recently, it was shown that the MaxWeight…

Probability · Mathematics 2016-11-03 Siva Theja Maguluri , Sai Kiran Burle , R. Srikant

We establish a heavy-traffic limit theorem on convergence in distribution for the number of customers in a many-server queue when the number of servers tends to infinity. No critical loading condition is assumed. Generally, the limit…

Probability · Mathematics 2010-01-14 Anatolii A. Puhalskii , Josh E. Reed

Growing EV adoption can worsen traffic conditions if chargers are sited without regard to their impact on congestion. We study how to strategically place EV chargers to reduce congestion using two equilibrium models: one based on congestion…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Semih Kara , Yasin Sonmez , Can Kizilkale , Alex Kurzhanskiy , Nuno C. Martins , Murat Arcak

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

Optimization and Control · Mathematics 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

We study driver's optimal trajectory planning under uncertainty in the duration of a traffic light's green phase. We interpret this as an optimal control problem with an objective of minimizing the expected cost based on the fuel use,…

Optimization and Control · Mathematics 2022-01-13 Mallory E. Gaspard , Alexander Vladimirsky
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