STEADY STATE ANALYSIS OF M/G/1 RETRIAL QUEUEING MODEL WITH RESTRICTED ADMISSION AND SERVER BREAKDOWN

This paper deals with steady state analysis of M/G/1 retrial queuing model with restricted admissibility and random server breakdown. The arriving units are allowed to join the system with state dependent admission control policy. Let alpha(1), alpha(2), and alpha(3) be the assigned probabilities for an arrival to join the system during the period of idle, busy, or on breakdown respectively. While the server working, it may breakdown at any instant and the service channel will fail for a short interval of time and it is repaired immediately. The steady state distribution of the server state and the number of customer in the orbit/system are obtained. Numerical example is presented to illustrate the influence of the parameters on several performance characteristics.