Block renewal processes and their application to modeling

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

Research output: Contribution to journalArticle

Abstract

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
Volume41
Issue number1
Publication statusPublished - 1998 Mar
Externally publishedYes

Fingerprint

Renewal process
Modeling
Queue
Simulation
Stochastic processes
Queueing system
Autocorrelation

ASJC Scopus subject areas

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

Cite this

Block renewal processes and their application to modeling. / Toyoizumi, Hiroshi; Shanthikumar, J. George; Wolff, Ronald W.

In: Journal of the Operations Research Society of Japan, Vol. 41, No. 1, 03.1998, p. 66-67.

Research output: Contribution to journalArticle

Toyoizumi, Hiroshi ; Shanthikumar, J. George ; Wolff, Ronald W. / Block renewal processes and their application to modeling. In: Journal of the Operations Research Society of Japan. 1998 ; Vol. 41, No. 1. pp. 66-67.
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