Infinite server queues with synchronized departures driven by a single point process
type: Item
instance of: scholarly article
title: Infinite server queues with synchronized departures driven by a single point process
zbMATH Open document ID: 1066.60091
published in: Queueing Systems
publication date: 2005-04-07T00:00:00Z
review text: The paper considers a system where groups of customers arrive at the epochs of a point process \(\{ T_n ,n \in Z\} \) defined on the whole real line. The \(n\)th group arrives at time \(T_n \) and consists of \(\beta _n \) customers. The \(i\)th customer of the \(n\)th group remains in the system for \(\sigma _{i,n} \) time units, and then departs at the next arrival point after his service completion. For this system the queue length process and the statistics of the departing batches of customers are investigated. Results for the asymptotic distribution of the departing batches when the service times are long compared to the interarrival times are also derived.
reviewed by: Oleg K. Zakusilo
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60K30
Mathematics Subject Classification ID: 68M20
zbMATH DE Number: 2153995
zbMATH Keywords: gated queues
author: Michael A. Zazanis
MaRDI profile type: Publication
full work available at URL: b:ques.0000046580.95906.0a
OpenAlex ID: W2017574042
DOI: 10.1023/B:QUES.0000046580.95906.0A
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description: scientific article; zbMATH DE number 2153995