A Car-Following Model Considering Effects of Weather and Road Conditions

Abstract:

In this paper, a modified car-following model is proposed, in which, the weather and road conditions are taken into account. The stability condition of the model is obtained by using the control theory method. We investigated the property of the model using linear and nonlinear analyses. The Kortewegde Vries equation near the neutral stability line and the modified Kortewegde Vries equation around the critical point are derived by applying the reductive perturbation method. The traffic jam could be thus described by the KdV soliton and the kinkanti-kink soliton for the KdV equation and mKdV equation, respectively. Numerical simulations are carried out to verify the model, and good results are obtained with the new model.

• Periodical: Applied Mechanics and Materials (Volumes 488-489)
• Pages: 1289-1294
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.488-489.1289
• Online since: January 2014
• Authors: Lu Jing*, Peng Jun Zheng
• Keywords: Car-Following Model, KdV, KDV Equation, Mkdv Equation, Weather Conditions

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