PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA

PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA

This paper aims to model and determine the service cycle completion time of noncyclic fork-join queueing networks with infinite buffer capacity, using max-plus algebra. The finding show that the dynamics of the noncyclic fork-join queuing networks with infinite buffer capacity can be modeled into a...

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Main Authors: M. ANDY RUDHITO, SRI WAHYUNI, ARI SUPARWANTO, F. SUSILO
Format: Article
Language:English
Published: Universitas Udayana 2012-11-01
Series:Jurnal Matematika
Subjects:
max-plus algebra, max-plus eigenvalues, fork-join queueing networks, service cycle completion time.
Online Access:https://ojs.unud.ac.id/index.php/jmat/article/view/2907
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spelling doaj-8e5af398aceb45e2bdd8e0776904143b2020-11-25T02:21:26ZengUniversitas UdayanaJurnal Matematika1693-13942012-11-011110.24843/JMAT.2010.v01.i01.p102907PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGAM. ANDY RUDHITOSRI WAHYUNIARI SUPARWANTOF. SUSILOThis paper aims to model and determine the service cycle completion time of noncyclic fork-join queueing networks with infinite buffer capacity, using max-plus algebra. The finding show that the dynamics of the noncyclic fork-join queuing networks with infinite buffer capacity can be modeled into a matrix equation over max-plus algebra. We can also show that the service cycle completion time of queuing networks is a max-plus eigenvalues of the matrix in the equation.slklsklslsllsllllllllllllllllllllllhttps://ojs.unud.ac.id/index.php/jmat/article/view/2907max-plus algebra, max-plus eigenvalues, fork-join queueing networks, service cycle completion time.
collection DOAJ
language English
format Article
sources DOAJ
author M. ANDY RUDHITO
SRI WAHYUNI
ARI SUPARWANTO
F. SUSILO
spellingShingle M. ANDY RUDHITO
SRI WAHYUNI
ARI SUPARWANTO
F. SUSILO
PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA
Jurnal Matematika
max-plus algebra, max-plus eigenvalues, fork-join queueing networks, service cycle completion time.
author_facet M. ANDY RUDHITO
SRI WAHYUNI
ARI SUPARWANTO
F. SUSILO
author_sort M. ANDY RUDHITO
title PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA
title_short PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA
title_full PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA
title_fullStr PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA
title_full_unstemmed PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA
title_sort pemodelan aljabar max-plus dan evaluasi kinerja jaringan antrian fork-join taksiklik dengan kapasitas penyangga takhingga
publisher Universitas Udayana
series Jurnal Matematika
issn 1693-1394
publishDate 2012-11-01
description This paper aims to model and determine the service cycle completion time of noncyclic fork-join queueing networks with infinite buffer capacity, using max-plus algebra. The finding show that the dynamics of the noncyclic fork-join queuing networks with infinite buffer capacity can be modeled into a matrix equation over max-plus algebra. We can also show that the service cycle completion time of queuing networks is a max-plus eigenvalues of the matrix in the equation.slklsklslsllsllllllllllllllllllllll
topic max-plus algebra, max-plus eigenvalues, fork-join queueing networks, service cycle completion time.
url https://ojs.unud.ac.id/index.php/jmat/article/view/2907
work_keys_str_mv AT mandyrudhito pemodelanaljabarmaxplusdanevaluasikinerjajaringanantrianforkjointaksiklikdengankapasitaspenyanggatakhingga
AT sriwahyuni pemodelanaljabarmaxplusdanevaluasikinerjajaringanantrianforkjointaksiklikdengankapasitaspenyanggatakhingga
AT arisuparwanto pemodelanaljabarmaxplusdanevaluasikinerjajaringanantrianforkjointaksiklikdengankapasitaspenyanggatakhingga
AT fsusilo pemodelanaljabarmaxplusdanevaluasikinerjajaringanantrianforkjointaksiklikdengankapasitaspenyanggatakhingga
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