Input regulation control based on periodical monitoring using call gapping control

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)84-93
Number of pages10
JournalElectronics and Communications in Japan (Part I: Communications)
Volume69
Issue number11
DOIs
Publication statusPublished - Jan 1 1986

Fingerprint

Monitoring
Equations of state
Processing

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

Cite this

@article{49647fd6acef496ea66353d40b4e5c62,
title = "Input regulation control based on periodical monitoring using call gapping control",
abstract = "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.",
author = "Akira Fukuda",
year = "1986",
month = "1",
day = "1",
doi = "10.1002/ecja.4410691109",
language = "English",
volume = "69",
pages = "84--93",
journal = "Electronics and Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi)",
issn = "8756-6621",
publisher = "John Wiley and Sons Inc.",
number = "11",

}

TY - JOUR

T1 - Input regulation control based on periodical monitoring using call gapping control

AU - Fukuda, Akira

PY - 1986/1/1

Y1 - 1986/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0022811602&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022811602&partnerID=8YFLogxK

U2 - 10.1002/ecja.4410691109

DO - 10.1002/ecja.4410691109

M3 - Article

VL - 69

SP - 84

EP - 93

JO - Electronics and Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi)

JF - Electronics and Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi)

SN - 8756-6621

IS - 11

ER -