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All Journal Jurnal Gaussian Jurnal Statistika Universitas Muhammadiyah Semarang
Nia Puspita Sari
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MODEL STOKHASTIK ANTRIAN NON POISSON PADA PELAYANAN PERBANKAN Sugito -; Alan Prahutama; Budi Warsito; Moch Abdul Mukid; Nia Puspita Sari
Jurnal Statistika Universitas Muhammadiyah Semarang Vol 5, No 1 (2017): Jurnal Statistika
Publisher : Program Studi Statistika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Muham

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (66.005 KB) | DOI: 10.26714/jsunimus.5.1.2017.%p

Abstract

Suatu proses secara umum terpisahkan menjadi dua jenis yaitu proses deterministik dan proses stokhastik. Pada proses stokastik bisa digolongkan menjadi 4 macam yaitu proses stokhastik dengan waktu diskrit dan ruang state diskrit, proses stokastik dengan waktu diskrit dan ruang state kontinu, proses stokastik dengan waktu kontinu dan ruang state kontinu serta proses stokastik dengan waktu kontinu dan ruang state diskrit. Proses stokhastik dengan ruang state diskrit dan waktu kontinu merupakan model matematik yang banyak dijumpai dalam kehidupan sehari-hari. Secara matematik bentuk proses stokhastik yang seperti ini di antaranya adalah proses poisson. Dalam tulisan ini akan dibahas proses poisson antrian yaitu secara spesifik proses stokhastik antrian non poisson. Proses stokhastik antrian non poisson adalah merupakan model antrian (a,b,c)/(d,e,f) dimana notasi a dan b nya tidak berdistribusi poisson ataupun  tidak berdistribusi eksponensial. Secara spesifik  pada tulisan ini model antrian non poissonnya adalah  model antrian (M/G/c) : (GD/ dan Model antrian (G/G/c) : (GD/∞/∞). Untuk aplikasi model antrian non poisson ini diterapkan pada antrian teller di suatu bank di jawa barat. Sehingga diperoleh dua model antrian non poisson yaitu model antrian (M/G/3) : (GD/   dan model (G/G/c) : (GD/ .Kata Kunci : Stokhastik, Antrian, Non Poisson, Teller
PENERAPAN TEORI ANTRIAN PADA PELAYANAN TELLER BANK X KANTOR CABANG PEMBANTU PURI SENTRA NIAGA Nia Puspita Sari; Sugito Sugito; Budi Warsito
Jurnal Gaussian Vol 6, No 1 (2017): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (676.136 KB) | DOI: 10.14710/j.gauss.v6i1.14771

Abstract

Bank X Puri Sentra Niaga branch office is one of bank that can not be separated from the queue issue. The customers want a fast and easy service. The length of queueing and the long waiting times may cause customers cancel the transaction and choose another bank. Therefore, it is necessary to define a suitable queueing model of teller service. Bank X Puri Sentra Niaga branch office have two types of teller service namely Antrian 1 and Antrian 2. Queueing model for Antrian 1 is (M/G/1):(GD//). The model describe that the customers arrival distribution is Poisson, the customer service distribution is General, the number of server is 1, the service disipline is FIFO (first in first out), the customers capacity and the resource of customers are infinite. Queueing model for Antrian 2 is (M/M/2):(GD//). The model describe that customers arival distribution and service distribution are Poisson, the number of server is 2, the service disipline is FIFO (first in first out), the customers capacity and the resource of customers are infinite. Software Arena is applied in simulation to compare the measures of performance if the number of teller added.Keywords: Queue, Queueing System Model, Bank, Teller.
Co-Authors Alan Prahutama Budi Warsito Moch Abdul Mukid Sugito - Sugito Sugito