Macroscopic Traffic-Flow Modelling Based on Gap-Filling Behavior of Heterogeneous Traffic

Traffic-flow modelling has been of prime interest to traffic engineers and planners since the mid-20th century. Most traffic-flow models were developed for purpose characterizing homogeneous flow. Some these are extended characterize complex interactions involved in heterogeneous Existing do not driver behavior leading gap filling conditions. This study aimed at explaining gap-filling flow by using effusion model gas particles. The driver’s was characterized through developing analogies between Maxwell–Boltzmann equation gases. subsequently incorporated into Payne–Whitham (PW) replacing constant anticipation term. proposed numerically approximated Roe’s scheme, numerical simulation then carried out MATLAB. results PW therefore compared. It is concluded that new this only produces better compared model, but also captures expected reality. main difference two effect bottleneck density propagated form a shockwave travelling backwards time while does exhibit effect.