On queuing systems with N policy and various server activation strategies

Greeshma Joseph, Varghese Jacob, Achyutha Krishnamoorthy
In this paper, we consider two single server queues under N policy with different activation strategies of the server. Customers arrive according to a Markovian Arrival Process and the service time follows a phase type distribution. The activation time of the server is exponentially distributed. We obtain stationary distribution of the queuing process using the Matrix Geometric Method. Using these distribution we calculate performance measures of the system. We also analyse this model numerically in order to have a comparison of the performance measures associated with it. An illustrative numerical example is discussed.