Modelling a vehicle-sharing station as a dual waiting system: stochastic framework and stationary analysis

Fabien Leurent (1)

1 LVMT - Laboratoire Ville, Mobilité, Transport

A waiting system with two kinds of resources, say the vehicles and the docks in a vehicle-sharing service, is considered. Two arrival flows of customers are assumed, access customers who require a vehicle versus egress customers that bring back their vehicle and require a dock at the station. The total number of docks sets a limit capacity for the service. A stochastic, markovian, state-transition model is defined, which constitutes a bi-sided capacitated queuing system. The balance equations are stated and solved, yielding a stationary distribution under two conditions of compatibility. Indicators of service quality and system performance are defined and formulated under steady state.

Mots clés: Vehicle-sharing. Stochastic model. Customer flow. Docking capacity. Waiting behavior

Domaines: Modélisation et simulation

Fabien Leurent. Modelling a vehicle-sharing station as a dual waiting system: stochastic framework and stationary analysis. 2012. ⟨hal-00757228⟩