Input regulation control based on periodical monitoring using call gapping control

This paper considers input regulation control based on periodical monitoring using call gapping control in a finite‐capacity queueing model. Two Poisson streams arrive at a system, and one of the streams is controlled to enter the system as follows. The system is monitored at periodical epochs. Thus when the number of calls in the system at the beginning of each interval exceeds a threshold, call gapping control which adjusts the call arrival interval is activated during that interval. The state equations of this control are established both for transient and steady states, and various evaluation measures are derived. Call gapping control, no‐control, and call reject control (all low‐priority calls are rejected) are compared through numerical examples and as a result, the following points are clarified. As for the transient state, the oscillation observed in the control and traffic characteristics of the call reject scheme, can be suppressed by the introduction of call gapping control. As for the steady state: (i) call gapping control is effective because the loss probability and the mean waiting time are reduced compared with the no‐control case; (ii) the processing volume for the regulation control is reduced in the proposed control compared with call reject control, but an extraprocessing for call gapping control is needed; and (iii) the proposed control scheme becomes effective with the monitoring interval from the viewpoint of protecting high priority calls.