01698085

Component

This paper addresses the first-order extension of the Lighthill-Whitham-Richards (LWR) macroscopic traffic flow model. Although previous studies have focused on the fluid aspect of traffic flow, none have addressed the sensitivity of drivers to the number of free spaces within a certain distance ahead of the subject driver. To incorporate driver behavior, the authors used the number of free spaces ahead of subject drivers and their sensitivity to the number of free spaces within a certain distance ahead. The resulting model is a convection-diffusion model. By computing Einstein’s diffusion equation and comparing it with the diffusion coefficient in the extended model, a theoretical relation for the driver’s sensitivity was derived. A representation of the numerical results of the LWR model, the convection-diffusion model with a typical diffusion coefficient, and the extended model showed that the proposed model has a lower mean relative error value.

This paper was sponsored by TRB committee AHB45 Standing Committee on Traffic Flow Theory and Characteristics.

19-04892

English

22p

2019

Transportation Research Board 98th Annual Meeting

Digital/other

Figures; References; Tables

Behavior; Drivers; Macroscopic traffic flow; Vehicle spacing

Lighthill-Whitham-Richards traffic flow model

Highways; Planning and Forecasting

Transportation Research Board Annual Meeting 2019 Paper #19-04892

TRIS, TRB, ATRI

Dec 7 2018 9:45AM