ANALISIS ANTREAN SPBU UDAYANA DENGAN MODEL ANTREAN NON-POISSON

  • LUIS RICARDO PANDIANGAN Universitas Udayana
  • NI PUTU DIAN ASTUTIK Universitas Udayana
  • EVARISTUS VERIYOGI YALSCHEN LEMBUNAI Universitas Udayana
  • I GUSTI AYU MADE SRINADI Universitas Udayana http://orcid.org/0000-0003-1309-044X
  • MADE AYU DWI OCTAVANNY Universitas Udayana

Abstract

Long queues at gas stations are a common sight, consuming valuable time for vehicle refueling. This inconvenience poses a challenge for the community, necessitating efficient time management. To address this issue, optimization through queue analysis is proposed. This study aims to analyze the queuing process for pertalite motorcycle fueling at one of the refueling stations, Udayana Gas Station, using the non-Poisson model (GPD/GEV/1):(FIFO/?/?). Additionally, a comparison is made with a modified scenario by introducing an extra server, resulting in the model (GPD/GEV/2):(FIFO/?/?). Based on 60 sampled data collected on Friday, 17 November, 2023, the analysis reveals a queue time of 5.8 minutes, with an expected 9 motorcycles in the queue. The results of the new model (GPD/GEV/2):(FIFO/?/?) indicate a notable reduction, with no motorcycles waiting in line for fueling. Consequently, it is recommended that Udayana Gas Station add an additional pertalite refueling station for motorcycles, promoting enhanced efficiency and convenience.

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Author Biographies

LUIS RICARDO PANDIANGAN, Universitas Udayana

Program Studi Matematika, Universitas Udayana

NI PUTU DIAN ASTUTIK, Universitas Udayana

Program Studi Matematika, Universitas Udayana

EVARISTUS VERIYOGI YALSCHEN LEMBUNAI, Universitas Udayana

Program Studi Matematika, Universitas Udayana

I GUSTI AYU MADE SRINADI, Universitas Udayana

Program Studi Matematika, Universitas Udayana

MADE AYU DWI OCTAVANNY, Universitas Udayana

Program Studi Matematika, Universitas Udayana

Published
2024-05-31
How to Cite
PANDIANGAN, LUIS RICARDO et al. ANALISIS ANTREAN SPBU UDAYANA DENGAN MODEL ANTREAN NON-POISSON. E-Jurnal Matematika, [S.l.], v. 13, n. 2, p. 136-140, may 2024. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/115192>. Date accessed: 04 nov. 2024. doi: https://doi.org/10.24843/MTK.2024.v13.i02.p453.
Section
Articles

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