On \(M^x/\left({G_1\choose G_2}\right)/1G(BS)V_s\) vacation queue with two types of general heterogeneous service
type: Item
instance of: scholarly article
title: On \(M^x/\left({G_1\choose G_2}\right)/1G(BS)V_s\) vacation queue with two types of general heterogeneous service
zbMATH Open document ID: 1279.90046
DOI: 10.1155/JAMDS.2005.123
author: K. C. Madan
author: Z. R. Al-Rawi
author: Amjad D. Al-Nasser
published in: Journal of Applied Mathematics and Decision Sciences
publication date: 2008-10-23T00:00:00Z
review text: Summary: We analyze a batch arrival queue with a single server providing two kinds of general heterogeneous service. Just before his service starts, a customer may choose one of the services and as soon as a service (of any kind) gets completed, the server may take a vacation or may continue staying in the system. The vacation times are assumed to be general and the server vacations are based on Bernoulli schedules under a single vacation policy. We obtain explicit queue size distribution at a random epoch as well as at a departure epoch and also the mean busy period of the server under the steady state. In addition, some important performance measures such as the expected queue size and the expected waiting time of a customer are obtained. Further, some interesting particular cases are also discussed.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 5356405
MaRDI profile type: Publication
full work available at URL: jamds.2005.123
OpenAlex ID: W1515800699
description: scientific article; zbMATH DE number 5356405