Block renewal processes and their application to modeling

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)66-67
Number of pages2
JournalJournal of the Operations Research Society of Japan
Issue number1
Publication statusPublished - 1998 Mar
Externally publishedYes

ASJC Scopus subject areas

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


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