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: | Armero Carmen, Conesa David |
Keywords: | bulk queues |
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.