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We characterize the stability, metastability, and the stationary regime of traffic dynamics in a single-cell uplink wireless system. The traffic is represented in terms of spatial birth-death processes, in which users arrive as a Poisson…

Information Theory · Computer Science 2020-10-15 Ahmad AlAmmouri , Jeffrey G. Andrews , Francois Baccelli

The problem of optimization of the rolling dynamics model is considered. That providing safe movement at high frequency when interacting with the railway. Moreover, allowing to evaluate the dynamic parameters when designing new and…

Computational Engineering, Finance, and Science · Computer Science 2020-10-20 Anas M. Al-Oraiqat , Alexander Y. Ivanov , Yuriy A. Ivanov

Suppose $A$ and $B$ are two stations within the mass rapid transit network of a city. Both stations see approximately the same average daily number of passengers entering and exiting their gates. However, passengers are evenly distributed…

Physics and Society · Physics 2023-10-05 Carmen Cabrera-Arnau , Liang Wei Ng , Howard Wong , Chen Zhong

Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq

We propose a framework for generating a signal control policy for a traffic network of signalized intersections to accomplish control objectives expressible using linear temporal logic. By applying techniques from model checking and formal…

Systems and Control · Computer Science 2016-06-23 Samuel Coogan , Ebru Aydin Gol , Murat Arcak , Calin Belta

To help mitigate road congestion caused by the unrelenting growth of traffic demand, many transit authorities have implemented managed lane policies. Managed lanes typically run parallel to a freeway's standard, general-purpose (GP) lanes,…

Systems and Control · Computer Science 2019-06-14 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

There has recently been considerable interest in the stability of different fair bandwidth sharing policies for models that arise in the context of Internet congestion control. Here, we consider a connection level model, introduced by…

Probability · Mathematics 2010-10-18 Maury Bramson

For many power-limited networks, such as wireless sensor networks and mobile ad hoc networks, maximizing the network lifetime is the first concern in the related designing and maintaining activities. We study the network lifetime from the…

Networking and Internet Architecture · Computer Science 2016-06-24 Xianxia Yang , Cunlai Pu , Meichen Yan , Rajput Ramiz Sharafat , Jian Yang

We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transportation research part B: methodological, 36 (2002). We assume…

Optimization and Control · Mathematics 2020-11-10 Roland Herzog , Jan-Frederik Pietschmann , Max Winkler

Statistical mechanics of a disordered system of cars on a single-lane road is developed. Behaviour of cars is defined by conditional probability of car velocity depending on the distance and velocity of the car ahead. A system consisting of…

Statistical Mechanics · Physics 2009-08-13 Anton Šurda

Driven many-particle systems with nonlinear interactions are known to often display multi-stability, i.e. depending on the respective initial condition, there may be different outcomes. Here, we study this phenomenon for traffic models,…

Physics and Society · Physics 2009-11-13 Dirk Helbing , Mehdi Moussaid

Investigating congestion in train rapid transit systems (RTS) in today's urban cities is a challenge compounded by limited data availability and difficulties in model validation. Here, we integrate information from travel smart card data, a…

Multiagent Systems · Computer Science 2014-02-18 Nasri Bin Othman , Erika Fille Legara , Vicknesh Selvam , Christopher Monterola

We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise macroscopic quantities, such as traffic volume or average…

Optimization and Control · Mathematics 2019-11-11 Simone Cacace , Fabio Camilli , Raul De Maio , Andrea Tosin

Model predictive control has emerged as an effective approach for real-time optimal control of connected and automated vehicles. However, nonlinear dynamics of vehicle and traffic systems make accurate modeling and real-time optimization…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Yunli Shao

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

Physics and Society · Physics 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

In road traffic networks, large traffic volumes may lead to extreme delays. These severe delays are caused by the fact that, whenever the maximum capacity of a road is approached, speeds drop rapidly. Therefore, the focus in this paper is…

Optimization and Control · Mathematics 2023-06-08 Nikki Levering , Rudesindo Núñez-Queija

Railway scheduling and timetabling are common stages in the classical hierarchical railway planning process and they perhaps represent the step with major influence on user's perception about quality of service. This aspect, in conjunction…

Optimization and Control · Mathematics 2017-01-24 David Canca , Eva Barrena , Encarnación Algaba , Alejandro Zarzo

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

The effects of model parameter uncertainty on traffic flow control problems have recently drawn research attention. While the uncertainty in fundamental diagram related parameters has been investigated in the past, few articles have focused…

Optimization and Control · Mathematics 2021-03-09 Hao Liu , Christian Claudel , Randy Machemehl , Kenneth A. Perrine

This paper develops a computational framework based on a car-following model to study traffic instability and lane changes. Building upon Newell's classical first-order car-following model, we show that, both analytically and numerically,…

Optimization and Control · Mathematics 2025-01-07 Nicholas Mankowski , Hassan Mushtaq , Hanliang Guo