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Discrete Dynamics in Nature and Society
Volume 2016 (2016), Article ID 3480368, 9 pages
http://dx.doi.org/10.1155/2016/3480368
Research Article

Asymptotic Stability Analysis of Binary Heterogeneous Traffic Based on Car-Following Model

Hao Wang,1,2 Qian Wan,3 and Wei Wang1,2

1Jiangsu Key Laboratory of Urban ITS, Southeast University, Nanjing 210096, China
2Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing 210096, China
3Hualan Design & Consulting Group, Nanning 530011, China

Received 26 November 2015; Revised 11 March 2016; Accepted 16 March 2016

Academic Editor: Juan R. Torregrosa

Copyright © 2016 Hao Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the asymptotic stability of Chandler Model for a heterogeneous traffic by using numerical simulations. A simple binary platoon is considered which consists of two types of vehicles. Platoon stabilities under various kinds of combinations of parameters are investigated. It is found that the stability of the binary platoon cannot be determined by the mean values of individual vehicle’s parameters. Some combinations of parameters that benefit to the platoon stability are found. Several interesting properties of binary platoon’s stability are summarized. The analytic stability criterion of heterogeneous traffic reported in the historical literature is studied. The result indicates the analytic criterion is not rigorous, which is apt to overestimate the stability of heterogeneous platoon.