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We extend earlier work establishing a framework for optimally controlling Connected Automated Vehicles (CAVs) crossing a signal free intersection by jointly optimizing energy and travel time. We derive explicit optimal control solutions in…

Optimization and Control · Mathematics 2019-09-04 Yue Zhang , Christos G. Cassandras

Traffic congestion in urban areas is a significant problem, leading to prolonged travel times, reduced efficiency, and increased environmental concerns. Effective traffic signal control (TSC) is a key strategy for reducing congestion.…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Maonan Wang , Yirong Chen , Yuheng Kan , Chengcheng Xu , Michael Lepech , Man-On Pun , Xi Xiong

Traffic congestion has become a nightmare to modern life in metropolitan cities. On average, a driver spending X hours a year stuck in traffic is one of most common sentences we often read regarding traffic congestion. Our aim in this…

Optimization and Control · Mathematics 2021-11-18 Harshvardhan Uppaluru , Hamid Emadi , Hossein Rastgoftar

Recently, efforts have been made to standardize signal phase and timing (SPaT) messages. These messages contain signal phase timings of all signalized intersection approaches. This information can thus be used for efficient motion planning,…

Machine Learning · Computer Science 2024-01-22 Alexander Genser , Michail A. Makridis , Kaidi Yang , Lukas Ambühl , Monica Menendez , Anastasios Kouvelas

Arterial traffic interacts with freeway traffic, yet the two are controlled independently. Arterial traffic signals do not take into account freeway traffic and how ramps control ingress traffic and have no control over egress traffic from…

Systems and Control · Electrical Eng. & Systems 2024-04-10 Tianchen Yuan , Petros A. Ioannou

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

We study networks of interacting queues governed by utility-maximising service-rate allocations in both discrete and continuous time. For {\em finite} networks we establish stability and some steady-state moment bounds under natural…

Probability · Mathematics 2019-08-21 Seva Shneer , Alexander Stolyar

A key measure of performance and comfort in a road traffic network is the travel time that the users of the network experience to complete their journeys. Travel times on road traffic networks are stochastic, highly variable, and dependent…

Dynamical Systems · Mathematics 2014-08-18 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

This work gives introduction to traffic control by connected automated vehicles. The influence of vehicle control on vehicular traffic and traffic control strategies are discussed and compared. It is highlighted that vehicle-to-everything…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tamas G. Molnar , Michael Hopka , Devesh Upadhyay , Michiel Van Nieuwstadt , Gabor Orosz

This paper has studied the minimum traffic delay at a two-phase intersection, taking into account the dynamical evolution process of queues. The feature of delay function has been studied, which indicates that the minimum traffic delay must…

Physics and Society · Physics 2016-09-21 Hong-Ze Zhang , Rui Jiang , Mao-Bin Hu , Bin Jia

This paper presents a method based on precise modeling of traffic flow using a fuzzy-real algorithm for optimal control of a signalized intersection. By improving social indicators such as security, well-fare and economy, intercity…

Systems and Control · Electrical Eng. & Systems 2020-01-07 Mohammadbagher Shahgholian , Davood Gharavian

A queueing model has $J\ge2$ heterogeneous service stations, each consisting of many independent servers with identical capabilities. Customers of $I\ge2$ classes can be served at these stations at different rates, that depend on both the…

Probability · Mathematics 2007-05-23 Rami Atar , Avi Mandelbaum , Gennady Shaikhet

We study a model for freeway traffic which includes strong noise taking into account the fluctuations of individual driving behavior. The model shows emergent traffic jams with a self-similar appearance near the throughput maximum of the…

Condensed Matter · Physics 2009-10-22 K. Nagel

Time-Sensitive Networking (TSN) is an enhancement of Ethernet which provides various mechanisms for real-time communication. Time-triggered (TT) traffic represents periodic data streams with strict real-time requirements. Amongst others,…

Networking and Internet Architecture · Computer Science 2023-07-31 Thomas Stüber , Lukas Osswald , Steffen Lindner , Michael Menth

We study the relation between the average traffic flow and the vehicle density on road networks that we call 2D-traffic fundamental diagram. We show that this diagram presents mainly four phases. We analyze different cases. First, the case…

Optimization and Control · Mathematics 2013-02-06 Nadir Farhi , Maurice Goursat , Jean-Pierre Quadrat

We derive a conservation law on a network made of two incoming branches and a single outgoing one from a discrete traffic flow model. The continuous model is obtained from the discrete one by letting the number of vehicles tend to infinity…

Analysis of PDEs · Mathematics 2024-09-04 P Cardaliaguet

We investigate how a weak constant force becomes detectable through fluctuations in anomalous transport in strongly heterogeneous media. Rather than focusing on the mean drift, we show that the key signature of the force appears in the…

Statistical Mechanics · Physics 2026-03-17 Masahiro Shirataki , Takuma Akimoto

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

The increasing global spread of electric vehicles (EVs) has introduced significant interdependence between transportation and power networks. Most of the previous studies on coupled networks focus on the formation of equilibrium states…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Jiaqi Li , Xiaoyuan Xu , Zheng Yan , Han Wang , Yue Chen

This study advocates a mathematical framework of ''transport relations'' on a network. They single out a subset of ''traffic states'' described by time, duration, position and other traffic attributes (called ''monads'' for short). Duration…

Optimization and Control · Mathematics 2013-12-10 Jean-Pierre Aubin