Mikailalsys Journal of Mathematics and Statistics
Vol 2 No 3 (2024): Mikailalsys Journal of Mathematics and Statistics

Application of Queue Theory in Cafe Services with Erlang Distribution

Ramadhani, Bagus D. (Unknown)
Cahyono, Budi (Unknown)
Rahayu, Joana K. (Unknown)
Rahmah, Syifa M. (Unknown)
Dani, Andrea Tri Rian (Unknown)



Article Info

Publish Date
21 Jul 2024

Abstract

As urban lifestyles evolve, culinary businesses, particularly cafes, have experienced rapid growth. This surge in popularity has led to an increase in customers and, consequently, longer queues. These extended wait times can frustrate customers and pose challenges to cafe management. To address this issue, we conducted a comprehensive eval_uation and optimization of the service system at a Samarinda cafe using the Erlang distribution queuing system. Primary data was meticulously collected over six days, amounting to a total of 12 hours of observation. Kolmogorov-Smirnov distribution fitting tests were employed, revealing that customer service times adhered to an exponential distribution. The average customer arrival rate was determined to be 0.351 per minute, while the average service time was calculated at 5.546 minutes per customer. Our analysis confirmed that the system operates in a steady state with a utility value of 0.06, indicating sufficient service capacity to handle the current customer load. Therefore, the study concludes that the cafe's service system is currently optimal.

Copyrights © 2024






Journal Info

Abbrev

MJMS

Publisher

Subject

Engineering Mathematics Mechanical Engineering

Description

The journal contains scientific articles covering topics such as mathematical theory, statistical methods, the application of mathematics in various disciplines, and statistical data analysis. The primary objective of this journal is to promote a better understanding of mathematical and statistical ...