ISSN:
1572-9443
Keywords:
Bayesian inference
;
empirical Bayes methods
;
hierarchical Bayesian models
;
MX/M/1 queues
;
measures of performance
;
numerical inversion of transforms
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1019121506451
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