Selective Trunk with Multiserver Reservation

Abstract

We consider a queueing model that is primarily applicable to traffic control in communication networks that use the Selective Trunk Reservation technique. Specifically, consider two traffic streams competing for service at ann-server queueing system. Jobs from theprotectedstream, stream 1, are blocked only if allnservers are busy. Jobs from thebest effortstream, stream 2, are blocked ifn-r,  r≥1, servers are busy. Blocked jobs are diverted to a secondary group ofc-nservers with, possibly, a different service rate. We extend the literature that studied this system for the special case ofr=1and present an explicit computational scheme to calculate the joint probabilities of the number of primary and secondary busy servers and related performance measures. We also argue that the model can be useful for bed allocation in a hospital.