Modeling the Pedestrian Delay at Signalized Intersections with Two-Stage Crossing: Considering Physical Queuing Length

Abstract

An improved pedestrian delay model was proposed for signalized intersections with a two-stage crossing in this paper. This delay model considers the pedestrian physical queuing length when they are waiting on the curbside and the refuge island. It can significantly improve the estimation accuracy of the second-stage delay for pedestrians. The shock wave theory and a triangular-shaped fundamental diagram were used to model pedestrian queue formation and dissipation. The proposed model is presented in a general form for estimating the first-stage delay and second-stage delay classified in 12 different scenarios. The model was compared with the existing two-stage delay model by microscopic simulations with different signal settings and pedestrian volume settings. Results show our modified model is more accurate than the existing model under medium and high pedestrian arrival rates.