Pricing techniques for self regulation in Vehicle Sharing Systems

We study self regulation through pricing for Vehicle Sharing Systems (VSS). Without regulation VSS have poor performances. We want to improve the efficiency of VSS using pricing as incentive. We take as base model a Markovian formulation of a closed queuing network with finite buffer and time dependent service time. This model is unfortunately intractable for the size of instances we want to tackle. We discuss heuristics: a scenario approach, a fluid approximation, simplified stochastic models and asymptotic approximations. We compare these heuristics on toy cities.