A Probabilistic Model of Roundabouts with Application to Steady-state Analysis

Abstract

Abstract. The circulatory lane of a roundabout is divided into a finite number of cells and a difference equation is derived in order to descr ibe the time-evolution of the probability that each cell is occupied by a vehicle. The steady state solution of the equation proves stable under a mild condition. In addition, a roundabout under regular operation is shown to be sensitive to the irregular interruption in the case where the circulatory lane is crowded.