Mathematical Journal of Modelling and Forecasting
Vol. 4 No. 1 (2026): June 2026

Analysis of the Application of Queue Theory in Ambacang Community Health Centers Padang

Sukra Hamna (Universitas Negeri Padang)
Nadiyatul Ghina (Universitas Negeri Padang)



Article Info

Publish Date
23 Jun 2026

Abstract

Community health centers (Puskesmas) play a crucial role in providing primary healthcare services. However, long patient queues often reduce service efficiency and patient satisfaction. This study analyzes queue performance at a Puskesmas outpatient clinic using the M/M/1 queuing model to evaluate waiting time and service effectiveness. Data were collected through seven days of field observations, recording patient arrival patterns and service times during operational hours. The results show that the patient arrival rate is  patients per minute, while the service rate is  patients per minute. The system operates under a stable condition with a utilization factor of . The average waiting time in the queue is  minutes, whereas the total time spent in the system is  minutes, indicating that a significant proportion of patient time is spent waiting for service. The originality of this study lies in its empirical application of the M/M/1 queuing model to a real outpatient healthcare system in a Puskesmas setting, providing practical performance indicators that can support operational decision-making in primary healthcare services. However, the study is limited by a relatively short observation period of seven days and data collected from a single healthcare facility, meaning the findings reflect local conditions and cannot be generalized to other healthcare centers with different operational characteristics. The study recommends improving workforce management and implementing a structured patient scheduling system to reduce waiting time and enhance service efficiency.

Copyrights © 2026






Journal Info

Abbrev

mjmf

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance

Description

The Mathematical Journal of Modelling and Forecasting are scientific journals in the fields of mathematics, statistics, actuarial, financial mathematics, computational mathematics, and applied mathematics. This journal is published twice a year, precisely in June and December in an online version. ...