English
Related papers

Related papers: A measure theoretic approach to traffic flow optim…

200 papers

The interest in developing smart cities has increased dramatically in recent years. In this context an intelligent transportation system depicts a major topic. The forecast of traffic flow is indispensable for an efficient intelligent…

Machine Learning · Computer Science 2020-06-09 Ralf Rüther , Andreas Klos , Marius Rosenbaum , Wolfram Schiffmann

We consider here probabilistic models of transportation flows. The main goal of this introduction is rather not to present various techniques for problem solving but to present some intuition to invent adequate and natural models having…

Probability · Mathematics 2011-10-24 V. A. Malyshev , A. A. Zamyatin

Effective traffic optimization strategies can improve the performance of transportation networks significantly. Most exiting works develop traffic optimization strategies depending on the local traffic states of congested road segments,…

Systems and Control · Electrical Eng. & Systems 2021-12-02 Fengkun Gao , Bo Yang , Cailian Chen , Xinping Guan , Yang Zhang

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

Optimization and Control · Mathematics 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

In this note, we propose a case study of freeway traffic flow modeled as a hybrid system. We describe two general classes of networks that model flow along a freeway with merging onramps. The admission rate of traffic flow from each onramp…

Systems and Control · Computer Science 2018-03-02 Samuel Coogan , Murat Arcak

Smart cities are revolutionizing the transportation infrastructure by the integration of technology. However, ensuring that various transportation system components are operating as expected and in a safe manner is a great challenge. In…

Computers and Society · Computer Science 2021-10-13 Mariam Nour , Mohamed H. Zaki

We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dynamical systems to transport a specified initial measure on…

Dynamical Systems · Mathematics 2017-11-22 Piyush Grover , Karthik Elamvazhuthi

We introduce an optimum principle for a vehicular traffic network with road bottlenecks. This network breakdown minimization (BM) principle states that the network optimum is reached, when link flow rates are assigned in the network in such…

Physics and Society · Physics 2011-02-14 Boris S. Kerner

We propose and study a model of traffic in communication networks. The underlying network has a structure that is tunable between a scale-free growing network with preferential attachments and a random growing network. To model realistic…

Networking and Internet Architecture · Computer Science 2008-06-12 Zonghua Liua , Weichuan Ma , Huan Zhang , Yin Sun , P. M. Hui

While the development of fully autonomous vehicles is one of the major research fields in the Intelligent Transportation Systems (ITSs) domain, the upcoming longterm transition period - the hybrid vehicular traffic - is often neglected.…

Networking and Internet Architecture · Computer Science 2019-11-22 Benjamin Sliwa , Thomas Liebig , Tim Vranken , Michael Schreckenberg , Christian Wietfeld

The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem is obtained, and it is used to describe several phenomena.…

Physics and Society · Physics 2015-04-10 Tal Cohen , Rohan Abeyaratne

We develop adaptive data-driven traffic light controllers for a grid-like traffic network considering straight, left-turn, and right-turn traffic flows. The analysis incorporates transit delays and blocking effects on vehicle movements…

Systems and Control · Electrical Eng. & Systems 2024-04-29 Yingqing Chen , Christos G. Cassandras

In this paper, we study the problem of traffic management in highways facing stochastic perturbations. To model the macroscopic traffic flow under perturbations, we use cell-transmission model with Markovian capacities. The decision…

Systems and Control · Computer Science 2019-07-04 Li Jin , Alexander A. Kurzhanskiy , Saurabh Amin

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

The combination of Artificial Intelligence (AI) and Internet-of-Things (IoT), which is denoted as AI-powered Internet-of-Things (AIoT), is capable of processing huge amount of data generated from a large number of devices and handling…

Systems and Control · Computer Science 2017-11-30 Ying Liu , Lei Liu , Wei-Peng Chen

A path-planning algorithm for connected and non-connected automated road vehicles on multilane motorways is derived from the opportune formulation of an optimal control problem. In this framework, the objective function to be minimized…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Panagiotis Typaldos , Markos Papageorgiou , Ioannis Papamichail

Traffic control is at the core of research in transportation engineering because it is one of the best practices for reducing traffic congestion. It has been shown in recent years that the traffic control problem involving…

Optimization and Control · Mathematics 2021-05-10 Hao Liu , Christian Claudel , Randy Machemehl

Routing optimization is a relevant problem in many contexts. Solving directly this type of optimization problem is often computationally unfeasible. Recent studies suggest that one can instead turn this problem into one of solving a…

Physics and Society · Physics 2020-12-11 Diego Baptista , Daniela Leite , Enrico Facca , Mario Putti , Caterina De Bacco

Designing and optimizing different flows in networks is a relevant problem in many contexts. While a number of methods have been proposed in the physics and optimal transport literature for the one-commodity case, we lack similar results…

Physics and Society · Physics 2021-10-13 Alessandro Lonardi , Enrico Facca , Mario Putti , Caterina De Bacco

In this paper, we introduce a traffic flow model based on a microscopic follow-the-leader model, while enforcing maximal constraints on the density and velocity of the flow. The related macroscopic model can be represented in conservative…

Numerical Analysis · Mathematics 2026-01-21 Yuanhong Wu , Shuzhi Liu , Qinglong Zhang