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We extend the convergence analysis for methods solving PDE-constrained optimal control problems containing both discrete and continuous control decisions based on relaxation and rounding strategies to the class of first order semilinear…

Optimization and Control · Mathematics 2015-09-15 Falk M. Hante

A solid system consisting of two heat conducting cylinders with a thermoelectric converter (Peltier element) between them is considered. A nonlinear model, which was previously verified by authors, is used to design a constrained control…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Alexander Gavrikov , Georgy Kostin

In this paper, methods have been explored to effectively optimise traffic signal control to minimise waiting times and queue lengths, thereby increasing traffic flow. The traffic intersection was first defined as a Markov Decision Process,…

Systems and Control · Electrical Eng. & Systems 2022-07-29 Hrishit Chaudhuri , Vibha Masti , Vishruth Veerendranath , S Natarajan

In this paper, we present a cyclically time-expanded network model for simultaneous optimization of traffic assignment and traffic signal parameters, in particular offsets, split times, and phase orders. Since travel times are of great…

Discrete Mathematics · Computer Science 2015-09-30 Ekkehard Köhler , Martin Strehler

We study an optimal control problem for traffic regulation via variable speed limit. The traffic flow dynamics is described with the Lighthill-Whitham-Richards (LWR) model with Newell-Daganzo flux function. We aim at minimizing the $L^2$…

Optimization and Control · Mathematics 2016-03-16 Maria Laura Delle Monache , Benedetto Piccoli , Francesco Rossi

The growing demand for road use in urban areas has led to significant traffic congestion, posing challenges that are costly to mitigate through infrastructure expansion alone. As an alternative, optimizing existing traffic management…

Artificial Intelligence · Computer Science 2024-09-04 Muhammad Tahir Rafique , Ahmed Mustafa , Hasan Sajid

In this paper, we address the numerical solution of the Optimal Transport Problem on undirected weighted graphs, taking the shortest path distance as transport cost. The optimal solution is obtained from the long-time limit of the gradient…

Numerical Analysis · Mathematics 2020-09-29 Enrico Facca , Michele Benzi

The transmission switching problem aims to determine the optimal network topology that minimizes the operating costs of a power system. This problem is typically formulated as a mixed-integer optimization model, which involves big-M…

Optimization and Control · Mathematics 2025-02-17 Marina Aguilar-Moreno , Salvador Pineda , Juan Miguel Morales

Based on numerical simulations of a three-phase traffic flow model, a probabilistic theory of traffic at the light signal is developed. We have found that very complex spatiotemporal self-organized phenomena determine features of city…

Physics and Society · Physics 2012-11-13 Boris S. Kerner

Red light running at signalised intersections is a growing road safety issue worldwide, leading to the rapid development of advanced intelligent transportation technologies and countermeasures. However, existing studies have yet to…

This study presents a novel approach to the vehicle routing problem by focusing on greenhouse gas emissions and fuel consumption aiming to mitigate adverse environmental effects of transportation. A time-dependent model with time windows is…

Optimization and Control · Mathematics 2017-09-19 Iman Kazemian , Samin Aref

We propose AttendLight, an end-to-end Reinforcement Learning (RL) algorithm for the problem of traffic signal control. Previous approaches for this problem have the shortcoming that they require training for each new intersection with a…

Machine Learning · Computer Science 2020-10-13 Afshin Oroojlooy , Mohammadreza Nazari , Davood Hajinezhad , Jorge Silva

In this letter, we propose a new routing strategy to improve the transportation efficiency on complex networks. Instead of using the routing strategy for shortest path, we give a generalized routing algorithm to find the so-called {\it…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gang Yan , Tao Zhou , Bo Hu , Zhong-Qian Fu , Bing-Hong Wang

Vehicle-infrastructure communication opens up new ways to improve traffic flow efficiency at signalized intersections. In this study, we assume that equipped vehicles can obtain information about switching times of relevant traffic lights…

Physics and Society · Physics 2014-04-01 Martin Treiber , Arne Kesting

Traffic congestion has large economic and social costs. The introduction of autonomous vehicles can potentially reduce this congestion by increasing road capacity via vehicle platooning and by creating an avenue for influencing people's…

Multiagent Systems · Computer Science 2021-06-10 Erdem Bıyık , Daniel A. Lazar , Ramtin Pedarsani , Dorsa Sadigh

We present in this article a semi-decentralized approach for urban traffic control, based on the TUC (Traffic responsive Urban Control) strategy. We assume that the control is centralized as in the TUC strategy, but we introduce a…

Optimization and Control · Mathematics 2015-08-06 Nadir Farhi , Cyril Nguyen Van Phu , Mouna Amir , Habib Haj-Salem , Jean-Patrick Lebacque

The goal of this work is to provide a viable solution based on reinforcement learning for traffic signal control problems. Although the state-of-the-art reinforcement learning approaches have yielded great success in a variety of domains,…

Machine Learning · Computer Science 2020-05-20 Yueh-Hua Wu , I-Hau Yeh , David Hu , Hong-Yuan Mark Liao

The emerging connected-vehicle technology provides a new dimension in developing more intelligent traffic control algorithms for signalized intersections in networked transportation systems. An important challenge for the scheduling problem…

Networking and Internet Architecture · Computer Science 2017-01-20 Ping-Chun Hsieh , Xi Liu , Jian Jiao , I-Hong Hou , Yunlong Zhang , P. R. Kumar

This paper considers a novel travel-delay-based Max Pressure algorithm for control of arbitrary transportation networks with signalized intersections. The traditional number-of-vehicle-based Max Pressure (Original-MP) algorithm has received…

Optimization and Control · Mathematics 2022-10-14 Hao Liu , Vikash V. Gayah

Inefficiencies in traffic flow through an intersection lead to stopping vehicles, unnecessary congestion, and increased accident risk. In this paper, we propose a traffic signal controller platform demonstrating the ability to increase…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Frederik Baymler Mathiesen , Garey Fleeman
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