Probabilistic models of passengers service processes at bus stops

Stop time variability in bus operation is known to be very often the dominant factor which influences bunching. The aim of this paper is to study in detail the main stochastic factors which affect the times spent by buses at stops. For this purpose various realistic random representations for main determinants of the parallel and series passengers service processes at bus stops are chosen. New analytical expressions for density functions and moments of the stop time random variable are derived. The results have been tested on data from a real bus route.