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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 97
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON SOFT COMPUTING TECHNOLOGY IN CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING
Edited by: Y. Tsompanakis, B.H.V. Topping
Paper 35

Stability Analysis of Multiple Vehicle Following Models

Y. Wakita, H. Shimizu, T. Tamaki and E. Kita

Graduate School of Information Science, Nagoya University, Japan

Full Bibliographic Reference for this paper
Y. Wakita, H. Shimizu, T. Tamaki, E. Kita, "Stability Analysis of Multiple Vehicle Following Models", in Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Second International Conference on Soft Computing Technology in Civil, Structural and Environmental Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 35, 2011. doi:10.4203/ccp.97.35
Keywords: Chandler model, multi-vehicle following model, stability analysis, cellular automata.

Summary
Experienced drivers often point out that the information from vehicles ahead, other than the nearest one, is important for safety and smooth driving. If a driver can obtain the information from the vehicles far ahead, he can control his vehicle more adequately and therefore, can avoid traffic jams.

The aim of this study is to discuss the importance of the information from vehicles ahead, other than the nearest one, for smooth traffic flow by using a mathematical model and cellular automata model. For this purpose, a Chandler-type vehicle following model is adopted in this study. Chandler model changes the vehicle acceleration rate according to the velocity difference between the vehicle and the nearest vehicle ahead. The Chandler-type multi-vehicle following model, which is a simple extension of the Chandler model, changes the vehicle acceleration rate according to the velocity difference between the vehicle and its multiple vehicles ahead.

Firstly, the stability analysis of the model reveals that the stable region of the parameters expands according to the increase of the number of the vehicles ahead that are referred to. Therefore, it is shown that the traffic flow becomes more stable according to the increase of the number of the vehicles ahead to be referred to.

Next, the model parameters, which are assumed from the stability analysis, are used for the cellular automata based traffic flow simulation. The results showed that vehicles can decelerate at an earlier time step, according to the increase of the number of vehicles ahead to be referred to, and therefore, the velocity may be recovered more quickly.

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