Prediction in Markovian bulk arrival queues |
| |
Authors: | Armero Carmen Conesa David |
| |
Affiliation: | (1) Department of Statistics and Operations Research, Universitat de Valencia, Dr. Moliner 50, 46100 Burjassot, Spain |
| |
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. |
| |
Keywords: | Bayesian inference empirical Bayes methods hierarchical Bayesian models MX/M/1 queues measures of performance numerical inversion of transforms |
本文献已被 SpringerLink 等数据库收录! |