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

  • M. ANDY RUDHITO
  • SRI WAHYUNI
  • ARI SUPARWANTO
  • F. SUSILO

Abstract

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

Author Biographies

M. ANDY RUDHITO
Mahasiswa S3 Matematika FMIPA UGM dan Staff Pengajar FKIP Universitas Sanata Dharma, Yogyakarta
SRI WAHYUNI
Jurusan Matematika, FMIPA Universitas Gadjah Mada, Yogyakarta
ARI SUPARWANTO
Jurusan Matematika, FMIPA Universitas Gadjah Mada, Yogyakarta
F. SUSILO
Jurusan Matematika, FST Universitas Sanata Dharma,Yogyakarta
How to Cite
ANDY RUDHITO, M. et al. PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA. Jurnal Matematika, [S.l.], v. 1, n. 1, nov. 2012. ISSN 2655-0016. Available at: <https://ojs.unud.ac.id/index.php/jmat/article/view/2907>. Date accessed: 22 may 2019. doi: https://doi.org/10.24843/JMAT.2010.v01.i01.p10.
Section
Articles

Keywords

max-plus algebra, max-plus eigenvalues, fork-join queueing networks, service cycle completion time.