E-Jurnal Matematika
Vol. 15 No. 1 (2026)

ANALISIS SISTEM ANTREAN PADA SPBU 54.803.16 ULUWATU UNTUK MENGUKUR EFISIENSI PELAYANAN

RAGAH NIHAN RAZANDO (Universitas Udayana)
NOVIA NURROHMAH (Universitas Udayana)
NI MADE ARI PUAN KAMINI (Universitas Udayana)
I GEDE DARMA YUDA UDAYANA (Universitas Udayana)
MADE AYU DWI OCTAVANNY (Universitas Udayana)



Article Info

Publish Date
28 Apr 2026

Abstract

This study aims to analyze the queuing characteristics of motorcycles refueling pertalite at SPBU 54.803.16 Uluwatu and to determine the most appropriate queueing model to represent the performance of its service system. Data were collected through direct observation on Monday and Saturday to examine the patterns of vehicle arrivals and service times. The analysis was carried out using queueing theory, applying the M/G/1 and G/G/1 models along with distribution tests to identify the suitability of arrival and service patterns. The results indicate that the distribution of arrivals on both observation days is not entirely uniform, with noticeable variations at specific time intervals. Based on the data analysis, the G/G/1 model provides a more accurate representation of the queueing conditions, as both arrival and service processes exhibit randomness without following a specific theoretical distribution. System performance evaluation shows that the server utilization rate is relatively high, leading to increased waiting times and longer queues during peak hours. These findings suggest the need for operational adjustments, particularly during high-demand periods, to improve service efficiency and reduce traffic congestion around the fuel station.

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Journal Info

Abbrev

mtk

Publisher

Subject

Mathematics

Description

The scope of the E-Jurnal Matematika includes analysis, algebra, topology, graphics, numerical simulation approaches or what is known as numerical analysis, optimal control, queuing problems, optimization, finance, biomathematics, industrial mathematics, financial mathematics, and ...