A Queuing Model for the Utilisation of Machines under Random Parallel Loading

In a system consisting of many identical machines, any set of machines may be reserved from any other machine in order that the set may carry out a production job simultaneously. A simple queuing model, entailing various approximations, is used to give formulae for utilisation, holding time and othe...

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Main Author: N. Ream
Format: Article
Language:English
Published: SAGE Publishing 1978-12-01
Series:Measurement + Control
Online Access:https://doi.org/10.1177/002029407801101203
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spelling doaj-96177a6cc4b243a097a3c518a5ed3d832020-11-25T02:50:11ZengSAGE PublishingMeasurement + Control0020-29401978-12-011110.1177/002029407801101203A Queuing Model for the Utilisation of Machines under Random Parallel LoadingN. Ream0 Department of Electronic and Electrical Engineering, University of Surrey, Guildford, Surrey.In a system consisting of many identical machines, any set of machines may be reserved from any other machine in order that the set may carry out a production job simultaneously. A simple queuing model, entailing various approximations, is used to give formulae for utilisation, holding time and other parameters of the system. The model suggests that a practical system designed on these lines would become congested at between one-tenth and one-fifth of full loading.https://doi.org/10.1177/002029407801101203
collection DOAJ
language English
format Article
sources DOAJ
author N. Ream
spellingShingle N. Ream
A Queuing Model for the Utilisation of Machines under Random Parallel Loading
Measurement + Control
author_facet N. Ream
author_sort N. Ream
title A Queuing Model for the Utilisation of Machines under Random Parallel Loading
title_short A Queuing Model for the Utilisation of Machines under Random Parallel Loading
title_full A Queuing Model for the Utilisation of Machines under Random Parallel Loading
title_fullStr A Queuing Model for the Utilisation of Machines under Random Parallel Loading
title_full_unstemmed A Queuing Model for the Utilisation of Machines under Random Parallel Loading
title_sort queuing model for the utilisation of machines under random parallel loading
publisher SAGE Publishing
series Measurement + Control
issn 0020-2940
publishDate 1978-12-01
description In a system consisting of many identical machines, any set of machines may be reserved from any other machine in order that the set may carry out a production job simultaneously. A simple queuing model, entailing various approximations, is used to give formulae for utilisation, holding time and other parameters of the system. The model suggests that a practical system designed on these lines would become congested at between one-tenth and one-fifth of full loading.
url https://doi.org/10.1177/002029407801101203
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