Approximate method for analysis of queuing models with jump priorities

An approximate method for analysis of the queuing models with jump priorities was developed. It is assumed that upon arrival of a low-priority call one call of such kind might be immediately transferred to the end of the queue of the high-priority calls. The transfer probabilities depend on the state of the queue of heterogeneous calls. Consideration was given both to the models with separate and common queues. Algorithms to calculate the quality of service metrics of such queuing models were described, and the results of the numerical experiments were presented.