Consider a GI/M/1 queue with set-up period and working vacations. During the working vacation period, customers can be served at a lower rate, if there are customers at a service completion instant, the vacation can be interrupted and the server will come back to a set-up period with probability or continue the working vacation with probability , and when the set-up period ends, the server will switch to the normal working level. Using the matrix analytic method, we obtain the steady-state distributions for the queue length at arrival epochs.
GI/M/1; set-up period; working vacation; vacation interruption; Bernoulli
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