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LUIS RICARDO PANDIANGAN
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Mathematics

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ANALISIS ANTREAN SPBU UDAYANA DENGAN MODEL ANTREAN NON-POISSON LUIS RICARDO PANDIANGAN; NI PUTU DIAN ASTUTIK; EVARISTUS VERIYOGI YALSCHEN LEMBUNAI; I GUSTI AYU MADE SRINADI; MADE AYU DWI OCTAVANNY
E-Jurnal Matematika Vol 13 No 2 (2024)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2024.v13.i02.p453

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.
Co-Authors EVARISTUS VERIYOGI YALSCHEN LEMBUNAI I Gusti Ayu Made Srinadi MADE AYU DWI OCTAVANNY NI PUTU DIAN ASTUTIK