JUMAT: Jurnal Matematika
Vol. 3 No. 2 (2025): JUMAT, Desember 2025

Implementation of the M/M/1 Queue System Model at Bang Mamad's Chicken Noodle Stall in the UIN Pekalongan Environment

Miftahudin (UIN K.H. Abdurrahman Wahid Pekalongan)
Zulfa Dina Mardhiyah (UIN K.H. Abdurrahman Wahid Pekalongan)
Nabila Putri Callista (UIN K.H. Abdurrahman Wahid Pekalongan)
Lisalatul Maulidah (UIN K.H. Abdurrahman Wahid Pekalongan)
Amelia Maura Azahra (Unknown)
Muhammad Rifqi Azizi (UIN K.H. Abdurrahman Wahid Pekalongan)



Article Info

Publish Date
20 Dec 2025

Abstract

Mie Ayam Bang Mamad is a culinary business located near UIN K.H. Abdurrahman Wahid Pekalongan and is a popular dining destination for university members and the public. However, it remains unclear whether its single-cashier service system can accommodate customer arrivals, especially during peak hours. This study aimed to analyze the performance of the queueing system using the M/M/1 queueing model to evaluate service efficiency. A descriptive quantitative approach with a case study design was employed. Data were collected on Monday, April 13, 2026, from 12:00 to 1:00 p.m. (WIB), involving 50 customers. The research instrument consisted of an observation sheet recording customer arrival times, service start times, and service completion times. The results indicated a customer arrival rate of 8 customers per 10 minutes and a service rate of 9 customers per 10 minutes. On average, there were 8 customers in the system and 7 customers waiting in the queue. Customers spent an average of 10 minutes in the system and 9 minutes waiting in line. The cashier utilization rate reached 88%, indicating that the service system was not yet optimal. Therefore, adding an additional cashier during peak hours is recommended to improve service quality and reduce customer waiting times.

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Journal Info

Abbrev

jumat

Publisher

Subject

Education Mathematics

Description

JUMAT: Jurnal Matematika Program Studi Pendidikan Tadris Matematika Institut Agama Islam Negeri (IAIN) Fattahul Muluk Papua adalah jurnal nasional berbasis penelitian ilmiah, secara rutin diterbitkan oleh Program Studi Tadris Matematika IAIN Fattahul Muluk Papua sejak 2023. Kami mengundang para ...