Impact of leading speed pattern on oscillation evolution in stochastic linear car-following models

Jun Du, Bin Jia, Rui Jiang and Shi-Teng Zheng

Physica A: Statistical Mechanics and its Applications, 2022, vol. 594, issue C

Abstract: Understanding the spatiotemporal evolution mechanism of traffic oscillation is of great significance in the traffic flow studies. Recently, a frequency-domain stability analysis has been performed to study oscillation evolution in linear stochastic car-following models. This paper extends the analysis to investigate the impact of leading speed pattern on oscillation evolution. Speed variance of each vehicle in the car-following platoon has been derived analytically, which reveals (i) If the underlying deterministic car-following model is stable, the speed variance yielded by stochastic linear car-following model will converge to a constant value, which depends on the stochasticity strength, but is independent of the leading speed pattern. (ii) The amplitude of traffic oscillation might monotonically increase or change nonmonotonically, depending on the leading speed pattern. Numerical simulations are performed, and the results are in good agreement with the analytical ones.

Keywords: Car-following; Traffic oscillations; Concave growth; Stochastic analysis (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:594:y:2022:i:c:s037843712200098x

DOI: 10.1016/j.physa.2022.127031

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