A MIN-PLUS APPROACH FOR TRAFFIC FLOW MODELING

Julien Rousseau, Sébastien Lahaye, Claude Martinez, Jean-Louis Boimond

2009

Abstract

In this paper we propose a modeling method for traffic flow phenomena based on the min-plus algebra. We adopt a modular approach by dividing roadways as elementary stretches which can be combined in order to get a model for a complex infrastructure. The approach is flexible in the sense that different scales can be considered for each elementary model. In fact, whatever its size, each roadway stretch is here studied as a min-plus linear system and is modeled by its impulse response in min-plus algebra. In this first step in studying traffic flow, we focus on modeling detailing the adopted methodology. We also present simulations to validate the approach.

Paper Citation

in Harvard Style

Rousseau J., Lahaye S., Martinez C. and Boimond J. (2009). A MIN-PLUS APPROACH FOR TRAFFIC FLOW MODELING . In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-989-8111-99-9, pages 159-166. DOI: 10.5220/0002182301590166

in Bibtex Style

@conference{icinco09,
author={Julien Rousseau and Sébastien Lahaye and Claude Martinez and Jean-Louis Boimond},
title={A MIN-PLUS APPROACH FOR TRAFFIC FLOW MODELING},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2009},
pages={159-166},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002182301590166},
isbn={978-989-8111-99-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - A MIN-PLUS APPROACH FOR TRAFFIC FLOW MODELING
SN - 978-989-8111-99-9
AU - Rousseau J.
AU - Lahaye S.
AU - Martinez C.
AU - Boimond J.
PY - 2009
SP - 159
EP - 166
DO - 10.5220/0002182301590166