A spatially distributed queuing model considering dispatching policies with server reservation

In this paper we propose a cutoff hypercube queuing model to analyze server-to-customer emergency services operating with server reservation. We are motivated by certain SAMU’s (Système d’Aide Médicale Urgente) that give assistance to different classes of emergency requests, including specialized transfer of patients, and use the reservation strategy to improve the probability that ambulances will be available to high priority calls. The aim is to show how this cutoff priority service discipline can be handled by the cutoff hypercube queuing model to evaluate relevant system performance measures, and the main impacts of this policy to the different classes of users.