𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Inference and prediction in bulk arrival queues and queues with service in stages

✍ Scribed by Armero, C. ;Conesa, D.


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
118 KB
Volume
14
Category
Article
ISSN
8755-0024

No coin nor oath required. For personal study only.

✦ Synopsis


This paper deals with the statistical analysis from a Bayesian point of view, of bulk arrival queues where the batch size is considered as a fixed constant. The focus is on prediction of the usual measures of performance of the system in the steady state. The probability generating function of the posterior predictive distribution of the number of customers in the system and the Laplace transform of the posterior predictive distribution of the waiting time in the system are obtained. Numerical inversion of these transforms is considered. Inference and prediction of its equivalent single queue with service in stages is also discussed.

1998 John Wiley & Sons, Ltd.


πŸ“œ SIMILAR VOLUMES


Arrival and departure state distribution
✍ GΓ©rard HΓ©buterne; Catherine Rosenberg πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 69 KB

In this paper, we give an explicit relation between steady-state probability distributions of the buffer occupancy at customer entrance and departure epochs, for the classical single-server system G/G [N] /1 with batch services and for the finite capacity case. The method relies on level-crossing ar

Optimal service and arrival rates in Jac
✍ Kurt M. Bretthauer πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 141 KB

In this paper we present an algorithm for solving a class of queueing network design problems. Specifically, we focus on determining both service and arrival rates in an open Jackson network of queueing stations. This class of problems has been widely studied and used in a variety of applications, b