Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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THE QUEUE LENGTH DISTRIBUTION OF PHASE TYPE

  • Lim, Jong-Seul (Information Communications Engineering Division, Sunmoon University) ;
  • Ahn, Seong-Joon (Information Communications Engineering Division, Sunmoon University)
  • 발행 : 2007.05.31

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초록

In this paper, we examine the Markov chain $\{X_k,\;N_k;\;k=0,\;1,...$. We show that the marginal steady state distribution of Xk is discrete phase type. The implication of this result is that the queue length distribution of phase type for large number of examples where this Markov chain is applicable and shows a queueing application by matrix geometric methods.

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