Two queues with alternating service and server breakdown
type: Item
instance of: scholarly article
title: Two queues with alternating service and server breakdown
zbMATH Open document ID: 0712.60101
DOI: 10.1007/BF01154545
author: Oliver C. Ibe
author: Kishor S. Trivedi
published in: Queueing Systems
publication date: 1990-01-01T00:00:00Z
review text: A single server performs service at two stations in a cyclic manner. Breakdowns and following repairs of the server can occur both at polling and service times. Assuming Poisson arrival processes to each station and a Poisson process of breakdowns, an approximate analysis of the mean value of the waiting time is presented via the handling of so-called service and polling completion times. A preemptive repeat discipline with always new samples of service and polling times, respectively, is used in the treatment of breakdowns. Numerical results evaluate the deduced formulas.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 68M20
zbMATH DE Number: 4172121
zbMATH Keywords: Poisson arrival processes
zbMATH Keywords: Poisson process of breakdowns
zbMATH Keywords: polling completion times
zbMATH Keywords: Numerical results
reviewed by: Uwe Jansen
describes a project that uses: SIMSCRIPT
describes a project that uses: SPNP
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4172121