A D/D/1 queueing process with varying service times
type: Item
instance of: scholarly article
title: A D/D/1 queueing process with varying service times
zbMATH Open document ID: 0964.60084
author: N. Delaunay
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2001-07-02T00:00:00Z
review text: A single-server queue with deterministic interarrival time \(a\) and service times \(\{b_n\}\) is considered under the assumption that \(b_n<a\) for all \(n\) (service times are constants which vary from one customer to another). Explicit expressions are obtained for the queue-size as a function of time and waiting time for each customer. A necessary and sufficient condition that queue-size is at or above a predefined level (instability criterion) is given.
reviewed by: Evsei Morozov
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 68M20
zbMATH DE Number: 1488404
zbMATH Keywords: single-server queue
zbMATH Keywords: deterministic input
zbMATH Keywords: queue-size
zbMATH Keywords: instability condition
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1488404