Prediction in Markovian bulk arrival queues

Prediction in Markovian bulk arrival queues

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Article ID: iaor20013059
Country: Netherlands
Volume: 34
Issue: 1/4
Start Page Number: 327
End Page Number: 350
Publication Date: Jan 2000
Journal: Queueing Systems
Authors: ,
Keywords: bulk queues
Abstract:

This paper deals with the statistical analysis of bulk arrival queues from a Bayesian point of view. The focus is on prediction of the usual measures of performance of the system in equilibrium. Posterior predictive distribution of the number of customers in the system is obtained through its probability generating function. Posterior distribution of the waiting time, in the queue and in the system, of the first customer of an arriving group is expressed in terms of their Laplace and Laplace–Stieltjes transform. Discussion of numerical inversion of these transforms is addressed.

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