An extended continuum model considering optimal velocity change with memory and numerical tests

Zhai Qingtao, Ge Hongxia and Cheng Rongjun

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 774-785

Abstract: In this paper, an extended continuum model of traffic flow is proposed with the consideration of optimal velocity changes with memory. The new model’s stability condition and KdV–Burgers equation considering the optimal velocities change with memory are deduced through linear stability theory and nonlinear analysis, respectively. Numerical simulation is carried out to study the extended continuum model, which explores how optimal velocity changes with memory affected velocity, density and energy consumption. Numerical results show that when considering the effects of optimal velocity changes with memory, the traffic jams can be suppressed efficiently. Both the memory step and sensitivity parameters of optimal velocity changes with memory will enhance the stability of traffic flow efficiently. Furthermore, numerical results demonstrates that the effect of optimal velocity changes with memory can avoid the disadvantage of historical information, which increases the stability of traffic flow on road, and so it improve the traffic flow stability and minimize cars’ energy consumptions.

Keywords: Traffic flow; Continuum model; Optimal velocity changes with memory; Energy consumption (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:774-785

DOI: 10.1016/j.physa.2017.08.152

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