Contemporary macroscopic traffic flow models rarely distinguish user classes and their specific driving characteristics. Recently however, the authors have proposed a traffic flow model macroscopically describing multiple user-class (MUC) vehicular flow. Their model describes the aggregate-lane traffic density, velocity and velocity variances of distinct user classes, and can be perceived as an extension of traditional macroscopic single user-class models. This report represents the second report in regarding macroscopic traffic flow modelling. In this report the authors present a multiple lane generalisation of the aggregate-lane multiple user-class model. Key to its derivation is the lane-specific multiple user-class phase-space density (MUC-PSD). This can be considered as a generalisation of the traditional spatial density by considering traffic of different user classeson separate lanes, driving at a specific velocity while having a certain desired velocity. To this end, a distinction is made between unconstrainedand constrained traffic. (A)
Abstract