Empirical bayesian analysis for traffic intensity: M/M/1 queues with covariates

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18 Citations (Scopus)


In this paper, we consider a set of individual M/M/1 queues in which variations in both arrival rates and service rates are partly explained by some covariates representing associated characteristics of individual queues. The random error that takes into account the remaining variation is assumed to follow a gamma distribution. Bayes and empirical Bayes procedures are suggested to make inferences concerning individual traffic intensity parameters that can be applied to several industrial queueing problems.

Original languageEnglish
Pages (from-to)383-401
Number of pages19
JournalQueueing Systems
Issue number3-4
Publication statusPublished - 1996 Oct

All Science Journal Classification (ASJC) codes

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


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