Time-Dependent Analysis of M/G/1 Vacation Models with Exhaustive Service
نویسنده
چکیده
We use the Method of Collective Marks to analyze some time-dependent processes in the M/G/1 queue with single and multiple vacations. With the server state specified at a fixed time t > 0, the Laplace transforms with respect to t of mixed transforms for the joint distribution of the number of departures by time t, the queue length, the virtual waiting time, the elapsed and remaining service/vacation times at time t are derived by means of probabilistic interpretations. The Laplace-Stieltjes transform of the virtual waiting time at time t is also given. Some well known results are special cases.
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ورودعنوان ژورنال:
- Queueing Syst.
دوره 6 شماره
صفحات -
تاریخ انتشار 1990