Analisis Sistem Antrian di Indomaret Fresh Bitung dengan Pendekatan Teori Antrian dan Simulasi

Authors

  • Nanda Dwi Putra Purba Program Studi Teknik Industri, Universitas Pelita Harapan
  • Sylvia Sylvia Program Studi Teknik Industri, Universitas Pelita Harapan
  • Rifqi Bilal Kumara Program Studi Teknik Industri, Universitas Pelita Harapan
  • Yoga Rendika Program Studi Teknik Industri, Universitas Pelita Harapan
  • Yoga Putranto Program Studi Teknik Industri, Universitas Pelita Harapan
  • Nuryudha Darmawan Program Studi Teknik Industri, Universitas Pelita Harapan

DOI:

https://doi.org/10.19166/fastjst.v10i1.10892

Keywords:

Queueing Theory, Inter-arrival Time, Service Time, Simulation modeling, Waiting Time

Abstract

This study analyzes the performance of the cashier queueing system at Indomaret Fresh Bitung using observational data on inter-arrival times and service times, integrated with simulation modeling. The data collected indicate that customer inter-arrival times follow an exponential distribution. The analysis demonstrates that shorter inter-arrival times substantially increase waiting times and server utilization. During peak hours, an average inter-arrival time of 1.21 minutes results in an average waiting time of 0.769 minutes and a server utilization rate of 60%, indicating that the cashier operates near maximum capacity. In contrast, during non-peak hours, a longer average inter-arrival time of 1.832 minutes reduces system workload, leading to a shorter average waiting time of 0.341 minutes and increasing the probability of server idleness to 62.5%. Combined simulation results reveal a relatively balanced operational condition with an overall utilization level of 50%. Overall, the findings confirm that shorter inter-arrival times increase the likelihood of queue formation; therefore, optimal resource allocation during peak periods is necessary to maintain service efficiency.

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Published

2026-05-20

How to Cite

[1]
N. D. P. Purba, S. Sylvia, Rifqi Bilal Kumara, Yoga Rendika, Yoga Putranto, and Nuryudha Darmawan, “Analisis Sistem Antrian di Indomaret Fresh Bitung dengan Pendekatan Teori Antrian dan Simulasi”, FaSTJST, vol. 10, no. 1, pp. 69–76, May 2026.

Issue

Vol. 10 No. 1 (2026): MAY

Section

Articles

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Copyright (c) 2026 Sylvia Sylvia

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