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Priority mechanism is an invaluable scheduling method that allows customers   to receive different quality of service. Service priority is clearly today a   main feature of the operation of any manufacturing system. We are interested   by an M1,M2/G1,G2/1 priority retrial queue with pre-emptive resume policy.   For model in question, we discuss the problem of ergodicity and, by using the   method of supplementary variables, find the partial generating functions of   the steady state system state distribution. Moreover, some pertinent   performance measures are obtained and numerical study is also performed

On the performance of the M1,M2/G1,G2/1 retrial queue with pre-emptive resume policy