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http://hdl.handle.net/20.500.12358/24064
TitleA Mathematical Model for Cluster Applications
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Abstract

In this paper, we use probabilistic modeling and techniques to derive formulas in order to determine the number of computer nodes needed to execute applications on a cluster of computers so that application response time can be satisfied. Our probabilistic model is basically an M/G/1/K queueing system.  In this model, we account for the workload conditions (in terms of the number of applications or jobs being received per unit time) as well as the processing power of each node.  Finally, We use simulations to present a numerical example showing how our probabilistic model can be used.

Authors
Riffi, Mohamed I.
TypeJournal Article
Date2015
LanguageEnglish
Subjects
rule-based servers
cluster computers
queueing systems
network performance
probabilistic models
Published inIUG Journal for Natural and Engineering Studies
SeriesVolume: 23, Number: 1
Publisherالجامعة الإسلامية - غزة
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  • Staff Publications- Faculty of Science [1030]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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