A batch arrival Bernoulli vacation queue with a random setup time under restricted admissibility policy
type: Item
instance of: scholarly article
title: A batch arrival Bernoulli vacation queue with a random setup time under restricted admissibility policy
zbMATH Open document ID: 1278.90088
DOI: 10.1504/IJOR.2007.011445
published in: International Journal of Operational Research
publication date: 2007-06-14T00:00:00Z
review text: Summary: We consider a batch arrival queue with a Bernoulli vacation bschedule, where, after completion of a service, the server either goes for a vacation of random length with probability \(\theta\) (\(0 \leq\theta\leq 1\)) or may continue to serve the next unit, if any, with probability \((1-\theta)\), under a Restricted Admissibility (RA) policy of arriving batches with a random Setup Time (SET). Unlike the usual batch arrival queueing system, the RA-policy differs during a busy period and a vacation period and hence all arriving batches are not allowed to join the system at all times. We derive the steady state queue size distributions at a random point of time as well as at a departure epoch. Also, we obtain some important performance measures of this model. Further, we demonstrate the existence of stochastic decomposition result for this type of model.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 5164573
author: Gautam Choudhury
author: K. C. Madan
MaRDI profile type: Publication
full work available at URL: ijor.2007.011445
OpenAlex ID: W1967048918
description: scientific article; zbMATH DE number 5164573