A new car-following model with two delays |
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Authors: | Lei Yu Zhong-ke Shi Tong Li |
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Affiliation: | 1. College of Automation, Northwestern Polytechnical University, Xi?an, ShaanXi, China;2. Department of Mathematics, University of Iowa, Iowa City, IA, USA |
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Abstract: | A new car-following model is proposed by taking into account two different time delays in sensing headway and velocity. The effect of time delays on the stability analysis is studied. The theoretical and numerical results show that traffic jams are suppressed efficiently when the difference between two time delays decreases and those can be described by the solution of the modified Korteweg–de Vries (mKdV) equation. Traffic flow is more stable with two delays in headway and velocity than in the case with only one delay in headway. The impact of local small disturbance to the system is also studied. |
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Keywords: | Car-following model Two time delays Stability condition mKdV equation Traffic jams |
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