Abstract
In this paper, a new traffic flow model called the forward-backward velocity difference (FBVD) model based on the full velocity difference model is proposed to investigate the backward-looking effect by applying a modified backward optimal velocity using generalized backward maximum speed. The FBVD model belongs to the family of microscopic models that consider spatiotemporally continuous formulations. Neutral stability conditions of the discrete car-following model are derived using the linear stability theory. The stability analysis results prove that the modified backward optimal velocity has a significant positive effect in stabilizing the traffic flow. Through nonlinear analysis, a kink-antikink solution is derived from the modified Korteweg-de Vries equation of the FBVD model to explain traffic congestion of the model. The validity of this theoretical model is checked using numerical results, according to which traffic jams were found to have been significantly diminished by the introduction of the modified backward optimal velocity.
Highlights
Traffic flow models can be classified into two types [1]: 1) the macroscopic model or continuum model, in which traffic flow is regarded as a stream of a compressible fluid and lows of conservation on mass that means what-is-called continuity law, and velocity or flux are established [2] [3] [4] [5] [6], and 2) the microscopic model or discrete model, in which every vehicle is treated as a self-driven particle composing a stream, and the main focus is to formulate the interactions between a vehicle and a vehicle, and a vehicle to road infrastructures [7] [8] [9] [10] [11]
An improved car-following model called the forward-backward velocity difference (FBVD) model derived from the conventional OVM and FVDM is proposed to account for the backward-looking effect via the introduction of a modified backward optimal velocity function for generalized backward maximum speed
The FBVD model considers the likely situation in which the focal vehicle adjusts its velocity in response to the forward gap between it and the preceding vehicle and the backward gap created by the following vehicle
Summary
The traffic flow system is leaded by the leading car in real life traffic flow system, the following car can urge its focal for some space using the horn effect when following driver has not enough space to go forward This realistic scenario has been absent in those models. A number of models are being studied to account for the backward-looking effect based on various foundational models, including the lattice hydrodynamic model, continuum model, and car-following model. In these models, the backward-looking effect is introduced by a negative sign with the forward optimal velocity function except an excellent model proposed by Kuang et al [38].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
