Journal article
A new car-following model with two delays
Physics letters. A, Vol.378(4), pp.348-357
01/17/2014
DOI: 10.1016/j.physleta.2013.11.030
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.
•We propose a new car-following model considering the effects of two different time delays in sensing headway and velocity.•Traffic jams are suppressed efficiently when the difference between two time delays decreases.•The numerical simulation is presented to confirm the theoretical results.
Details
- Title: Subtitle
- A new car-following model with two delays
- Creators
- Lei Yu - Northwestern Polytechnical UniversityZhong-ke Shi - Northwestern Polytechnical UniversityTong Li - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physics letters. A, Vol.378(4), pp.348-357
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.physleta.2013.11.030
- ISSN
- 0375-9601
- eISSN
- 1873-2429
- Grant note
- DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 11102165; DOI: 10.13039/501100007128, name: Natural Science Foundation of Shaanxi Province, award: 2013JQ7014, 2012JM1001; name: Young Scholar of Northwestern Polytechnical University; name: Foundation for Fundamental Research of Northwestern Polytechnical University, award: JC20110265
- Language
- English
- Date published
- 01/17/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984241159102771
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