An Analysis on the M/G/1 Bernoulli Feedback System with Threshold in Main Queue

Main Queue에 Threshold가 있는 M/G/1 Bernoulli Feedback 시스템 분석

  • Lim, Si-Yeong (Department of Industrial Engineering, Hanyang University) ;
  • Hur, Sun (Department of Industrial Engineering, Hanyang University)
  • 임시영 (한양대학교 산업공학과) ;
  • 허선 (한양대학교 산업공학과)
  • Received : 20000200
  • Accepted : 20001000
  • Published : 2001.03.31

Abstract

We consider the M/G/1 with Bernoulli feedback, where the served customers wait in the feedback queue for rework with probability p. It is important to decide the moment of dispatching in feedback systems because of the dispatching cost for rework. Up to date, researches have analyzed for the instantaneous-dispatching model or the case that dispatching epoch is determined by the state of feedback queue. In this paper we deal with a dispatching model whose dispatching epoch depends on main queue. We adopt supplementary variable method for our model and a numerical example is given for clarity.

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