Block renewal processes and their application to modeling

Hiroshi Toyoizumi, J. George Shanthikumar, Ronald W. Wolff

研究成果: Article査読

抄録

A new stochastic process called block renewal process (or G(m) process) is proposed for modeling auto-correlated arrival processes of queueing systems. This process can be modeled easily by the observable marginal distribution and global auto-correlation index of auto-correlated arrival process. This new process is very simple and tractable, so it is good for both simulation and numerical computation. We also discuss how to obtain analytically the steady-state distribution of queue length of a G(2)/M/1 queue.

本文言語English
ページ(範囲)66-67
ページ数2
ジャーナルJournal of the Operations Research Society of Japan
41
1
DOI
出版ステータスPublished - 1998 3
外部発表はい

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

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