Analysis of priority channel assignment schemes in mobile cellular communication systems: a spectral theory approach

A queueing system with two arrival streams is considered in this paper. A number of schemes assigning different priorities to each of the two arrival streams have been modeled. One of the streams (stream 1) is considered to require a higher priority to access the server than the other (stream 2). On the other hand, stream 1 has stringent constraints with regard to the waiting time, and thus it is treated according to a loss model whereas stream 2 is handled following a delay model. The analysis of the system is carried out by applying the generating function method combined with spectral expansion tools. This approach offers better numerical efficiency and stability over a wider range of system loads than the widely used matrix-geometric approach. The model is applied to a mobile cellular communications system where the call setup requests form the stream 2 and handover requests form the stream 1.