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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

Motion planning at urban intersections that accounts for the situation context, handles occlusions, and deals with measurement and prediction uncertainty is a major challenge on the way to urban automated driving. In this work, we address…

Robotics · Computer Science 2021-10-22 Johannes Müller , Jan Strohbeck , Martin Herrmann , Michael Buchholz

An urban traffic system is a heterogeneous system, which consists of different types of intersections and dynamics. In this paper, we focus on one type of heterogeneous traffic network, which consists of signalized junctions and…

Optimization and Control · Mathematics 2017-05-11 Yicheng Zhang , Rong Su , Yi Zhang , Chunyang Sun

The main steps of automatic control methodology include the hierarchical representation of management system and the formal definitions of input variables, object and goal of control of each management level. A Petri net model of individual…

adap-org · Physics 2008-02-03 V. Zaborovski , S. Yegorov , Y. Podgurski , Y. Shemanin

We give a rigorous solution of an optimisation problem of minimizing the expected delay caused by encountering a red traffic light on a road journey. The problem incorporates simple constraints on maximum speed, acceleration and braking…

Optimization and Control · Mathematics 2025-12-03 Márton Balázs , Edward Crane , Alexander Tallis

Real-time optimization of traffic flow addresses important practical problems: reducing a driver's wasted time, improving city-wide efficiency, reducing gas emissions and improving air quality. Much of the current research in traffic-light…

Artificial Intelligence · Computer Science 2017-02-07 Shumeet Baluja , Michele Covell , Rahul Sukthankar

We consider the traffic light control problem for a single intersection modeled as a stochastic hybrid system. We study a quasi-dynamic policy based on partial state information defined by detecting whether vehicle backlogs are above or…

Optimization and Control · Mathematics 2014-02-28 Julia L. Fleck , Christos G. Cassandras

Existing traffic control systems only possess a local perspective over the multiple scales of traffic evolution, namely the intersection level, the corridor level, and the region level respectively. But luckily, despite its complex…

Systems and Control · Electrical Eng. & Systems 2023-01-25 Cristian Axenie , Margherita Grossi

In this paper, we study the feasibility of a class of optimization-based boundary control of one-dimensional macroscopic traffic flow models, where stability and invariance are achieved by a single boundary control. We define the sets of…

Optimization and Control · Mathematics 2026-05-04 Eryn Vaid , Maria Teresa Chiri , Roberto Guglielmi , Gennaro Notomista

We apply measures of complexity, emergence and self-organization to an abstract city traffic model for comparing a traditional traffic coordination method with a self-organizing method in two scenarios: cyclic boundaries and non-orientable…

The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses mobile robot dynamics with obstacles, and the second one…

Optimization and Control · Mathematics 2018-11-06 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen

Moving bottlenecks, such as slow-driving vehicles, are commonly thought of as impediments to efficient traffic flow. Here, we demonstrate that in certain situations, moving bottlenecks---properly controlled---can actually be beneficial for…

Physics and Society · Physics 2017-02-28 Rabie A. Ramadan , Benjamin Seibold

This paper develops an optimal data aggregation policy for learning-based traffic control systems based on imagery collected from Road Side Units (RSUs) under imperfect communications. Our focus is optimizing semantic information flow from…

Optimization and Control · Mathematics 2023-06-30 Ahmad Sarlak , Xiwen Chen , Rahul Amin , Abolfazl Razi

This paper presents a new approach to congestion management at traffic-light intersections. The approach is based on controlling the relative lengths of red/green cycles in order to have the congestion level track a given reference. It uses…

Optimization and Control · Mathematics 2014-07-29 Yorai Wardi , Carla Seatzu

We combine the power flow model with the proportionally fair optimization criterion to study the control of congestion within a distribution electric grid network. The form of the mathematical optimization problem is a convex second order…

Optimization and Control · Mathematics 2018-10-04 Miroslav Gardlo , Ľuboš Buzna , Rui Carvalho , Richard Gibbens , Frank Kelly

Urban intersections are prone to delays and inefficiencies due to static precedence rules and occlusions limiting the view on prioritized traffic. Existing approaches to improve traffic flow, widely known as automatic intersection…

Robotics · Computer Science 2022-07-27 Marvin Klimke , Benjamin Völz , Michael Buchholz

This paper presents two one-dimensional mathematical models describing automobile traffic flow on straight road segments at a signalized intersection. When the traffic light is permissive, the flow density and velocity are obtained by…

Analysis of PDEs · Mathematics 2026-04-29 Akbota Senkebayeva

The raising level of traffic imposes a great demand in the growth of intelligent traffic systems. With increase in complexity of alleviation, finding solutions to traffic congestion problem have become one of the challenges. Various…

Networking and Internet Architecture · Computer Science 2019-11-05 Kunal Verma , Vishal Paike

Traffic on a circular road is described by dynamic programming equations associated to optimal control problems. By solving the equations analytically, we derive the relation between the average car density and the average car flow, known…

Optimization and Control · Mathematics 2010-02-11 Nadir Farhi

In this paper we carry out a computational study of a novel microscopic follow-the-leader model for traffic flow on road networks. We assume that each driver has its own origin and destination, and wants to complete its journey in minimal…

Optimization and Control · Mathematics 2025-11-19 Emiliano Cristiani , Francesca L. Ignoto