Prediction in Markovian bulk arrival 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 distribut ion of the number of customers in the system is obtained through its probab ility generating function. Posterior distribution of the waiting time, in t he queue and in the system, of the first customer of an arriving group is e xpressed in terms of their Laplace and Laplace-Stieltjes transform. Discuss ion of numerical inversion of these transforms is addressed.