Mandalika Mathematics and Educations Journal
Vol 8 No 3 (2026): Edisi September

Analisis Model Antrean Pada Pelayanan Point Coffee di Indomaret Fresh Ahmad Yani Nomor 47

Leasy Sudibyo (Universitas Sultan Ageng Tirtyasa)
Dinar Nirmalasari (Universitas Sultan Ageng Tirtayasa)



Article Info

Publish Date
30 Aug 2026

Abstract

The rapid growth of grab-and-go coffee services in modern retail has increased customer traffic, making queue management a critical factor in maintaining service quality. This study analyzes the performance of the queuing system at Point Coffee in Indomaret Point using a multi-server queuing model . The objective of this study is to evaluate the current operational condition and propose an optimal service capacity improvement scenario. Data were collected through  hours of observation, involving a total of  customers. The modeling results showed that the current single-server system  produces an average waiting time of  minutes and a server utilization rate of , indicating that the system operates near its maximum capacity. Simulation results using two servers  showed a significant reduction in average waiting time to  minutes, with a server utilization rate of  for each server. Although the addition of a third server (M/M/3) resulted in the best theoretical performance, the improvement in efficiency was relatively small compared to the additional resources required. Therefore, this study concludes that adding one server during peak operational hours is the most efficient strategy for improving service quality.

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Journal Info

Abbrev

MANDALIKA

Publisher

Subject

Mathematics

Description

Mandalika Mathematics and Education Journal adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika FKIP Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun kajian ...