M/G/1 queue with controllable vacations and optimization of vacation policy

We introduce the control parameterN in a common queue M/G/1 with vacations; the end of a global vacation period is controlled by the parameterN. This extension for a queue with vacations is of significance in certain practical cases. In this paper, we find various transient and steady-state results for the queue size, the delay times and the waiting times for the M/G/1 queue with controllable vacations. Finally, we also discuss optimal selection of the control parameter.