A Hotelling queue model with probabilistic service

We study the pricing problem for a firm with two servers where heterogeneous customers can choose between deterministic service and probabilistic service. We find that different queueing priority policies do not affect the firms revenue but affect the firms optimal pricing strategies. Specifically, when the flexible customers (who choose probabilistic service) have a high priority, the optimal price of the deterministic service could be lower than the one of the probabilistic service in a small or moderate market.