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Impact of Service Interruptions and the Variability of Service Time in Queueing Systems: Numerical Investigations

In this paper, we consider the queueing systems with finite buffer and service interruptions. The effects of service interruptions and the variability of service time to measure of departure process such as the asymptotic mean and variance of the number of departures are investigated numerically. We find numerically so called interruption paradox or failure paradox that the departure rate of the system with service interruptions under preemptive-repeat-different policy can be greater than that of the system with reliable server and it increases as the interruption rate increases for the case of large variability of service time. The results give an insight for the effects of the system and may be helpful to design and control the more complex systems.