Ridesharing Traffic Flow Model based on Link-based Kinematic Wave Theory

Abstract

The ridesharing is discussed in the wide range of road network policy: efficient road space usage and smooth evacuation under limited drivers. This study proposed a ridesharing traffic flow model based on the dynamic network loading (DNL) problem, formulated as a system of differential algebraic equations following Han et al. (2019). The ridesharing behavior in this study is represented by using the pick-up link and the through link set at each point in a network where travelers wait for vehicles picking them up. The proposed model minimizes the total travel time by optimizing the path choice probabilities dynamically across the whole road network. The model is formulated based on the link transmission model; thus, the calculation process is efficient. Finally, the numerical calculation is performed in a test network to verify the proposed model.