Mean field analysis for bike and e-bike sharing systems
Résumé
Electric bikes are deployed massively in preexisting bike sharing system in order to attract new users and replace cars on a larger scale (see [2]). But this causes interactions between the two populations of bikes. In this paper, we analyze a model of an homogeneous bike sharing system where two classes of bikes interact only through the finite capacity of stations. It models systems with both electric and normal bikes, these classes requiring different subscriptions. As far as we know (see [7]), it is the first stochastic large-scale analysis for integrated e-bike and bike sharing systems. The aim of the paper is to derive explicitly the limiting stationary distribution of the state of a station when the number of stations and the fleet size of each class increase at the same rate. Analysis for a spatially heterogeneous network is in preparation and discussed in Section 4.