Non-poissonian Cellular Automaton Models for Vehicular Traffic

In this study, the non-Poissonian (NP) versions of four types of cellular automaton models for vehicular traffic, namely, the totally asymmetric simple exclusion process (TASEP), stochastic Fukui-Ishibashi (SFI) model, quick-start (QS) model, and slow-to-start (S2S) model, have been investigated. In these NP models, the standby time for the next movement of each particle follows an arbitrary probability distribution, therefore, the disorder of each particle movement can be controlled by the coefficient of variance (CV). Fundamental diagrams show that the flow increases when the CV decreases in all four models. A substantial improvement in the flow against the TASEP (without any extension) is observed when the CV is large in the SFI and QS models. However, such a significant impact is seen when the CV is small in the S2S model.