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.>

A linear program model is developed to represent the problem of real-time control of traffic in an overloaded circuit-switched network. Circuit groups and exchanges are modeled approximately as saturating devices. Circuit groups saturate with respect to carried traffic, and exchanges saturate with respect to the rate of attempts served. A linear objective function is chosen. Methods for the size of the linear program model are introduced, and techniques for computing its solution are described. The solution of the linear program is in the form of quotas for all the streams of call attempts entering the network. Detailed call-by-call routing decisions are devolved to individual nodes or regional network management centers.>