Single server cyclic service queueing model with bulk arrival
type: Item
instance of: scholarly article
title: Single server cyclic service queueing model with bulk arrival
zbMATH Open document ID: 1118.60075
author: Charan Jeet Singh
author: Madhu Jain
published in: Southeast Asian Bulletin of Mathematics
publication date: 2007-04-10T00:00:00Z
review text: In a system with \(N\)-policy, the server becomes unavailable when there are no customers in the system and becomes available again when \(N\) customers have accumulated in the system, where \(N\) is a constant positive integer. Another policy considered in the paper is the \(T\)-policy, which is equivalent to the multiple vacation model with constant length vacations. The paper deals with the cyclic service bulk arrival queueing model under \(T\)-policy and \(N\)-policy schedules. The expressions for average waiting time, average cyclic time and penalty rate are derived when service times are sufficiently less than that of inter-arrival times.
reviewed by: Oleg K. Zakusilo
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 68M20
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 5141465
zbMATH Keywords: bulk queue
zbMATH Keywords: cyclic service
zbMATH Keywords: N-policy
zbMATH Keywords: T-policy
zbMATH Keywords: scheduling
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5141465