Multi-threshold control of the \(BMAP/SM/1/K\) queue with group services
type: Item
instance of: scholarly article
title: Multi-threshold control of the \(BMAP/SM/1/K\) queue with group services
zbMATH Open document ID: 1137.90417
DOI: 10.1155/S1048953303000261
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2004-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/54125
review text: Summary: We consider a finite capacity queue in which arrivals occur according to a batch Markovian arrival process (BMAP). The customers are served in groups of varying sizes. The services are governed by a controlled semi-Markovian process according to a multithreshold strategy. We perform the steady-state analysis of this model by computing (a) the queue length distributions at departure and arbitrary epochs, (b) the Laplace-Stieltjes transform of the sojourn time distribution of an admitted customer, and (c) some selected system performance measures. An optimization problem of interest is presented and some numerical examples are illustrated.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 2067321
author: Alexander Dudin
author: Srinivas R. Chakravarthy
MaRDI profile type: Publication
OpenAlex ID: W2074262006
description: scientific article; zbMATH DE number 2067321