Analisis Data Antrean Non-Poisson

Studi Kasus: Konsumen Toko Ritel Indomaret Jimbaran

Authors

  • Ni Putu Linda Maharani Universitas Udayana
  • Ni Putu Meyla Aryani Universitas Udayana
  • Anak Agung Ngurah Bagus Surya Ananta Jelai Universitas Udayana
  • Made Ayu Dwi Octavanny Universitas Udayana

DOI:

https://doi.org/10.62383/algoritma.v3i5.679

Keywords:

Queue, Non-Poisson, Arrival, Satisfaction, Service

Abstract

Queues are a common phenomenon and are often encountered in various aspects of daily life, especially in places that provide public services. One of the places that is inseparable from the queue problem is Indomaret Jimbaran, Bali. The large number of buyers who send data to Indomaret Jimbaran during peak hours causes the queue rate to be high. This is due to the limited number of service facilities and the time provided to serve each visitor is limited so that the cashier cannot serve buyers optimally. Therefore, the researcher is interested in researching whether the service facilities provided by Indomaret Jimbaran are effective and efficient so that they can satisfy customers.Using the Kolmogorov-Smirnov test, it was found that the appropriate distribution for the interarrival time of customers is the Gamma distribution, while the service time follows the 3-parameter Weibull distribution. The queueing model used is . The results show that having three cashiers is sufficient to handle the level of customer traffic at Indomaret Jimbaran retail store.

Downloads

Download data is not yet available.

References

Arikunto, S. (2013). Prosedur Penelitian: Suatu Pendekatan Praktik. Rineka Cipta.

Ayuningtyas, P., Sugito, S., & Maruddani, D. A. I. (2021). Penentuan Model Antrean Non-Poisson Dan Pengukuran Kinerja Pelayanan Bus Rapid Transit Trans Semarang (Studi Kasus: Shelter Pemberangkatan Brt Koridor V). Jurnal Gaussian, 10(1), 1–10. https://doi.org/10.14710/j.gauss.v10i1.30932

Gross, D., & Harris, C. M. (1998). Fundamental of Queueing Theory Third Edition.

Gross, D., Shortle, J. F., Thompson, J. M., & Harris, C. M. (2008). Fundamentals of queueing theory (4th ed.). Wiley.

Hermawan, H., & Sulistyowati, S. (2021). Model Antrian G/G/1 Menggunakan Pendekatan Simulasi Monte Carlo pada Sistem Produksi. Jurnal Matematika Integratif.

Heryana, A. (2020). Buku Ajar Metodologi Penelitian pada Kesehatan Masyarakat : Bahan Ajar Keperawatan Gigi. June, 1–187.

Hillier, F. S., & Lieberman, G. J. (2001). Introduction to Operations Research. McGraw-Hill.

Kakiay, N. (2004). Dasar Teori Antrian untuk Kehidupan Nyata. Yogyakarta: Penerbit Andi.

Kendall, D. G. (1953). Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. The Annals of Mathematical Statistics, 24(3), 338–354. https://doi.org/10.1214/aoms/1177728975

Kleinrock, L. (1975). Queueing Systems, Volume 1: Theory. Wiley-Interscience.

Lestari, T., & Kurniawan, B. (2021). Evaluasi Sistem Antrian Minimarket Menggunakan Model G/G/c. Jurnal Ilmiah Matematika Dan Aplikasinya.

Maister, D. H. (1985). The Psychology of Waiting Lines. Harvard Business School.

Mufidah, A., Sugito, & Maruddani, D. A. I. (2022). Metode Bayesian Pada Sistem Antrean Pelayanan Menggunakan Gui R (Studi Kasus: Antrean Pelayanan di Kantor Dinas Kependudukan dan Pencatatan Sipil Kota Semarang). Jurnal Gaussian, 11(1), 21–30. https://doi.org/10.14710/j.gauss.v11i1.34002

Nazir, M. (2014). Metode penelitian (Edisi ke-7). Ghalia Indonesia.

Sadiah, D. (2015). Metode Penelitian Dakwah Pendekatan Kualitatif dan Kuantitatif. Rosda Karya.

Sihotang, E. F. A., Sugito, S., & Mukid, M. A. (2019). Analisis Antrean Dan Kinerja Sistem Pelayanan Gardu Tol Otomatis Gerbang Tol Muktiharjo (Studi Kasus: Gardu Tol Otomatis Gerbang Tol Muktiharjo). Jurnal Gaussian, 8(1), 106–116. https://doi.org/10.14710/j.gauss.v8i1.26625

Sitompul, & Rizki. (2019). Analisis Sistem Antrian Non-Poisson pada Layanan Nasabah Menggunakan Metode Simulasi. Jurnal Gaussian.

Sugiyono. (2019). Metode Penelitian Kuantitatif, Kualitatif, dan R&D. Alphabet.

Taha, H. A. (1996). Riset Operasi: Jilid 2. Binarupa Aksara.

Wijayanti, D., Sugito, & Yasin, H. (2020). Analisis Model Antrean Non-Poisson Dan Ukuran Kinerja Sistem Berbasis Gui Web Interaktif Menggunakan R-Shiny (Studi Kasus: Bus di Terminal Penggaron Kota Semarang) 1,2,3. 9, 444–453.

Downloads

Published

2025-08-01

How to Cite

Ni Putu Linda Maharani, Ni Putu Meyla Aryani, Anak Agung Ngurah Bagus Surya Ananta Jelai, & Made Ayu Dwi Octavanny. (2025). Analisis Data Antrean Non-Poisson : Studi Kasus: Konsumen Toko Ritel Indomaret Jimbaran. Algoritma : Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian Dan Angkasa, 3(5), 01–12. https://doi.org/10.62383/algoritma.v3i5.679

Similar Articles

You may also start an advanced similarity search for this article.