Influence of Call Gapping Control Switch on Control Characteristics in Input Control Based on Sampling Monitoring

Abstract

This paper presents and analyzes the following input control method in a queueing model involving two input streams. One stream with Poisson input can enter the system when waiting room is not full. For the other stream with recurrent input, entry into the system is controlled as follows. The system is monitored at Poisson epoch, and when the number of calls in the system at the beginning of each interval exceeds the threshold, call gapping control which adjusts the call arrival interval is activated during that interval. The difference of the model between in this paper and in Ref. 5) is only the opening and closing action of call gapping control switch at monitoring time points. The model is analyzed using piecewise Markov process theory. In addition, the influence of call gapping control switch on control characteristics is investigated

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