Delay analysis of a cellular mobile priority queueing system

A nonpreemptive priority queueing system incorporating a channel reservation policy and a hysteresis mechanism is considered for use in cellular mobile networks. The aim is to provide for priority for handover attempts over new call. Attempts in such a way as to avoid the forced termination of calls in progress without unduly affecting the performance seen by new call attempts. The system model is found to have a matrix-geometric solution with a phase-type distribution for the handover delay and a matrix-exponential distribution for the delay seen by new call attempts. It is also shown that the system can be represented by an M/G/1 queue with multiple vacations. A new result is derived for the M/G/1 queue with multiple vacations and impatient customers and this allows for the analysis to be extended so that new call arrivals are subject to a fixed timeout in queue. Results are provided which show how nonpreemptive priority in conjunction with channel reservation and hysteresis an provide for fast and efficient handover performance for cellular mobile networks