A monotonic property of the optimal admission control to an M/M/1 queue under periodic observations with average cost criterion
We consider the problem of admission control to an M/M/1 queue under periodic observations with average cost criterion. The admission controller receives the system state information every ø :th second and can accordingly adjust the acceptance probability for customers who arrive before the next state information update instance. For a period of ø seconds, the cost is a linear function of the time