Binomial schedule for an M/G/1 type queueing system with an unreliable server under \(N\)-policy (Q2260529)

Summary: We consider in this paper an M/G/1 type queueing system with the following extensions. First, the server is unreliable and is subject to random breakdowns. Second, the server also implements the well-known \(N\)-policy. Third, instead of a Bernoulli vacation schedule, the more general notion of binomial schedule with \(K\) vacations is applied. A cost function with two decision variables is developed. A numerical example shows the effect of the system parameters on the optimal management policy.