6533b827fe1ef96bd1286532
RESEARCH PRODUCT
Inference and prediction in bulk arrival queues and queues with service in stages
David ConesaCarmen Armerosubject
Queueing theoryPosterior predictive distributionLaplace transformManagement of Technology and InnovationModeling and SimulationBayesian probabilityPosterior probabilityFork–join queueBayesian inferenceQueueAlgorithmMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-03-01 |