Empirical Bayes estimation for queueing systems and networks

Dharma Thiruvaiyaru, Ishwar V. Basawa

Research output: Contribution to journalArticle

26 Scopus citations

Abstract

Empirical Bayes estimators are derived for standard M/M/1 queues, M/M/1 queues with state-dependent arrival and service rates, finite capacity M/M/1 queues with state-dependent rates and for open Jackson networks. The asymptotic properties of the empirical Bayes estimators are derived both with respect to the conditional distribution of the observations given the parameters, and with respect to the joint distribution of the observations and the parameters.

Original languageEnglish (US)
Pages (from-to)179-202
Number of pages24
JournalQueueing Systems
Volume11
Issue number3
DOIs
StatePublished - Sep 1 1992

Keywords

  • Bayes procedures
  • Markovian queues
  • empirical Bayes estimators
  • maximum likelihood estimation
  • networks of queues

ASJC Scopus subject areas

  • Statistics and Probability
  • Computer Science Applications
  • Management Science and Operations Research
  • Computational Theory and Mathematics

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