MMAP/(PH,PH)/1 Queue with Priority Loss through Feedback

In this paper, we consider two single server queueing systems to which customers of distinct priorities (P1 and P2) arrive according a Marked Markovian arrival process (MMAP). They are served phase type distributions. The probability P1 customer feedback is θ on completion his service. (P1) customers, as well P2 join the low priority queue. Low (P2) taken for service from head line whenever queue found be empty at epoch. We assume finite waiting space infinite customers. Two models discussed in paper. model I, that non-preemptive discipline II, follow preemptive policy. No permitted line. steady state these compared through numerical experiments reveal their respective performance characteristics.