E-Jurnal Matematika
Vol. 15 No. 3 (2026)

MODEL SISTEM ANTREAN PADA KEDATANGAN DAN KEPERGIAN PELANGGAN DI CIRCLE K SURAPATI DENPASAR

DESAK MADE NIRMALA YONI (Universitas Udayana)
NI LUH MEILIANA (Universitas Udayana)
MADE AYU DWI OCTAVANNY (Universitas Udayana)



Article Info

Publish Date
04 Aug 2026

Abstract

This study aims to analyze the queueing model based on the customer arrival and departure dynamics at Circle K Surapati, Denpasar. The study uses primary data obtained by recording customer arrival and departure times during a single observation period from 15:00 to 17:30 WITA. The results show that the arrival rate increases from 1.6 customers per 10 minutes at state 0 to 18 customers per 10 minutes at state 3, while the departure rate decreases from 4.4 customers per 10 minutes at state 1 to 1.5 customers per 10 minutes at state 4. The highest steady-state probability occurs at state 4 (0.8279), indicating that this condition most frequently appears in the long run. Furthermore, the Chi-Square goodness-of-fit test reveals that both interarrival and service time do not follow exponential distributions. Consequently, the system is best represented by a general distribution queueing model. The system is identified as a :  queueing model, utilizing two active service facilities under a first come-first served discipline

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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 ...