한국통신학회논문지 (The Journal of Korean Institute of Communications and Information Sciences)

  • 제22권12호
  • /
  • Pages.2644-2652
  • /
  • 1997
  • /
  • 1226-4717(pISSN)
  • /
  • 2287-3880(eISSN)
한국통신학회 (The Korean Institute of Commucations and Information Sciences)
권호 표지

이단계 대기모형에서 손실확률에 대한 근사

Approximations to blocking probability in two-stage queueing model

  • 발행 : 1997.12.01
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 오버플로우에 관한 연구에서 흔히 나타나는 이단계 대기모형을 연구하였다. 첫번째 단계는 여러개의 큐(queue)로 이루어져 있고, 이 큐들의 수용능력을 넘어서는 순간에 두번째 단계로 오버플로우가 발생한다. 두번째 단계로의 입력과정을 두 개의 상태를 가지는 MMPP로 근사함으로써 손실확률에 대한 계산을 이끌어 내었다. 근사방법으로써, Heffes의 방법과 SAM procedure를 이용하였다.

We ivestigate a two-stage queueing system which frequently arises in the study of overflow problems. A primary service facility consists of multiple primary queues where blocked calls are overflowed to a secondary queue. By approximating the input to the secondary queue with a two-state Markov Modulated Poisson Process (MMPP), we derive the blocking probability of the secondary queue. For the approximation, we employ the well-known Heffes' method and the SAM procedure.

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참고문헌

  1. The Bull System Technical Journal v.52 The Interrupted Poisson Process As An Overflow Process Anatol Kuczura
  2. Operations Research v.27 Approximations for Overflows from Queues with a Finite Waiting Room John, H. Rath;Diane Sheng
  3. The Bull System Technical Journal v.59 A Class of Data Traffic Processes Covariance Function Characterization and Related Queueing Results H. Heffes
  4. IEEE Transactions on Communications v.COM-33 Individual Traffic Characteristics of Queueing Systems with Multiple Poisson and Overflow Inputs Jun Matsumoto;Yu Watanabe
  5. IEEE Transactions on Communications v.37 The Analysis of a Quene Arising in Overflow Models Kethleen S. Meier-Hellstern
  6. IEEE Transactions on Communications v.38 Overflow Analysis for Finite Waiting Room Systems Roch Guerin;Luke Y. C. Lien
  7. IEEE Journal on Seleted Areas in Communications v.9 Loss Performance Analysis of an ATM Multiplexer Loaded with High-Speed ON-OFF Sources Andrea Baiocchi;Nicola Blefari Melazzi;Marco Listanti;Aldo Roveri;Roberto Winkler