Analysis of a Queueing Model with Combined Control of Arrival and Token Rates

패킷 도착률과 토큰 생성률의 통합 관리를 적용한 대기모형의 분석

  • 최두일 (한라대학교 응용수학과) ;
  • 김태성 (충북대학교 경영정보학과/BK21사업단)
  • Received : 2009.09.29
  • Accepted : 2010.02.19
  • Published : 2010.06.30

Abstract

As the diverse telecommunication services have been developed, network designers need to prevent congestion which may be caused by properties of timecorrelation and burstiness, and unpredictable statistical fluctuation of traffic streams. This paper considers the leaky bucket scheme with combined control of arrival and token rates, in which the arrival rate and the token generation interval are controlled according to the queue length. By using the embedded Markov chain and the supplementary variable methods, we obtain the queue length distribution as well as the loss probability and the mean waiting time.

다양한 통신 서비스가 개발되면서, 네트워크 설계자들은 시간상관성, 폭주성, 예측 불가능한 트래픽의 통계적 변동성 때문에 발생하는 혼잡을 제어하기 위한 방안을 모색하여 왔다. 본 논문에서는 패킷 도착률과 토큰 생성률을 통합하여 관리하는 리키버킷 방식을 이용하여 네트워크의 혼잡을 예방하는 모형에 대하여 분석한다. 본 논문에서 다루는 모형에서는 패킷 도착률과 토큰 생성 시간간격을 대기중인 패킷수에 따라 제어함으로써 네트워크 혼잡을 예방하게 된다. 모형의 분석을 위하여 임베디드 마코프체인과 부가변수 기법을 사용하며, 대기중인 패킷수 확률분포, 패킷손실확률, 평균대기시간 등의 특성치를 구한다.

Keywords

References

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