Jurnal Ekonomi dan Bisnis (Jebi)
Vol. 4 No. 2 (2026): Jurnal Ekonomi dan Bisnis (Jebi)

ANALISIS TEORI ANTREAN MODEL M/M/5 PADA BARBERSHOP FLOBAMORA

Muzamil (Universitas Sepuluh Nopember ( USN ) Papua)
Heru Sutejo, Dyzha Zyaqila Rumkorem, Esau Hisage, Joy M D Wanma, Migal Waroi, Richo Sanggemi, Yulda (Universitas Sepuluh Nopember ( USN ) Papua)



Article Info

Publish Date
03 Jul 2026

Abstract

Barbershop Flobamora Solution in Jayapura City runs with five active barbers serving an average of 13 customers per day across eight working hours. On paper, nothing looks alarming. But when researchers visited the site directly, especially on weekday afternoons and weekends, customers were visibly waiting sometimes 10 to 20 minutes before getting called. This study tries to examine how well the M/M/5 model explains that gap, and why the model predicts a waiting time of just 11 seconds while real customers experience something much longer. Primary data were collected through direct observation and service time recording, then processed using POM-QM for Windows. Results show λ = 1.63 customers/hour, μ = 1.2 customers/hour per barber, server utilization ρ = 27%, Lq = 0.01, Wq = 11.19 seconds, W = 50.19 minutes (average total time in the system from arrival to completion of service), and P₀ = 26%. The gap between model output and field reality stems from the M/M/s assumption that customer arrivals are evenly distributed throughout the day something that simply does not hold in practice. Sensitivity analysis identifies s = 4 as the most balanced configuration (Wq = 1.2 minutes, ρ = 34%), with recommendations for time-segmented scheduling and digital queue management.

Copyrights © 2026






Journal Info

Abbrev

ECONOMICA

Publisher

Subject

Description

Jurnal Ekonomi dan Bisnis adalah jurnal yang menerbitkan hasil penelitian, baik kajian teori maupun lapangan, baik secara umum maupun secara khusus yang berkaitan dengan bidang ekonomi dan ...