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
Inference and prediction in bulk arrival queues and queues with service in stages
β 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
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β¦ 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.
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