A stochastic theory of passenger traffic along a transit line, with operations policy and relativity effect

Abstract

submitted to the 2nd hEART Conference, Stockholm 2013

A stochastic theory of passenger traffic along a transit line, with operations policy and relativity effect Fabien Leurent (1) Université Paris Est, Laboratoire Ville Mobilité Transport, Ecole des Ponts ParisTech

Summary Along a given transit line, passenger traffic is shaped by the line structural characteristics in terms of vehicle capacity, headways and spatial structure of both the infrastructure and the pattern of demand flows between stations. It is also submitted to a number of variability sources, related to the distribution (meaning heterogeneity) of, respectively, headways, order in schedule, vehicle types, demand levels, individual passengers. Furthermore, there is a relativity effect since the users experience travel conditions distributed specifically because of the vehicle load. The paper extends the stochastic model of Leurent et al (2012) to discrete passenger flows and a range of operations policy, with special emphasis on stopping policy.