On buffers with periodical input traffic
type: Item
instance of: scholarly article
title: On buffers with periodical input traffic
zbMATH Open document ID: 0569.60092
DOI: 10.1016/0377-2217(85)90158-4
author: Herwig Bruneel
published in: European Journal of Operational Research
publication date: 1985-01-01T00:00:00Z
review text: The paper considers an infinite discrete-time buffer system with one single output channel. Unlike most analyses of such a buffer system, the present study uses a 'dynamic' model for the arrival process of data units into the system. More specifically, the distribution of the number of arrivals per discrete time-unit is allowed to fluctuate in time, in a periodical fashion, whereas in classical models this distribution remains the same, as time goes by. The probability generating function of the number of data units in the buffer, at various time instants, is derived under such dynamic arrival conditions. An extended illustrating example, comparing 'static' and 'dynamic' arrival models, concludes the paper.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 3909496
zbMATH Keywords: buffer system
zbMATH Keywords: probability generating function
MaRDI profile type: Publication
full work available at URL: 0377-2217(85)90158-4
OpenAlex ID: W1967707849
cites work: Buffer Behavior for Poisson Arrivals and Multiple Synchronous Constant Outputs
cites work: Buffer Behavior with Poisson Arrivals and Bulk Geometric Service
cites work: Buffer Behavior in Computer Communication Systems
cites work: Comments on "Discrete-Time Queueing Systems and Their Networks"
cites work: On the behavior of buffers with random server interruptions
cites work: A finite waiting room queueing model with multiple servers having Markovian interruptions and its application to computer communications
cites work: Queueing Models for Computer Communications System Analysis
cites work: A general model for the behaviour of infinite buffers with periodic service opportunities
cites work: Q4101255
description: scientific article; zbMATH DE number 3909496