Abstract
This paper presents a stochastic extension of a traffic cellular automatom (CA) model with slow-to-start effect and a driver's perspective. This new model includes, as special cases, previously known traffic CA models such as Nagel-Schreckenberg model, Quick-Start model, and Slow-Start model. Fundamental diagrams and phase diagrams are numerically calculated. It is shown that metastables states in fundamental diagrams do not disappear even when stochastic effect is present, i.e., the metastable states are stable against perturbations. The combination of fundamental diagrams and approximate flow-density relations at boundaries successfully gives analytic expressions of phase transiton lines which almost coincides with those obtained from numerical simulations.
