Luspay, Tamás and Kulcsár, Balázs and Varga, István and Zegeye, S. K. and De Schutter, B. and Verhaegen, M. (2010) On acceleration of traffic flow. In: 13th international IEEE annual conference on intelligent transportation systems. Madeira, 2010..

Full text not available from this repository.

Abstract

The paper contributes to the derivation and analysis of accelerations in freeway traffic flow models. First, a solution based on fluid dynamics and on pure mathematical manipulations is given to express accelerations. The continuoustime acceleration is then approximated by a discrete-time equivalent. By applying continues time microscopic and macroscopic traffic flow velocity definitions, spatial and material derivatives are used to describe the continuous-time and exact changes in the velocity vector field. A forward-difference Euler method is proposed to discretize the acceleration both in time and space. For applicability purposes the use of average quantities is proposed. The finite-difference approximation by space-mean speed is shown to be consistent, and its solution is convergent to the original continuous-time form. As an alternative, the acceleration obtained from a second-order macroscopic freeway model by means of physical interpretation [1] is analyzed and found to be an appropriate discrete approximations. Comparative remarks as well as future research questions conclude the paper.

Item Type:	Conference or Workshop Item (Paper)
Subjects:	Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions:	Systems and Control Lab
Depositing User:	Eszter Nagy
Date Deposited:	11 Dec 2012 15:32
Last Modified:	11 Dec 2012 15:32
URI:	https://eprints.sztaki.hu/id/eprint/5694

Update Item