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Case Study for Restaurant Queuing Model

Case Study for Restaurant Queuing Model

Mathias Dharmawirya

School of Information Systems

Binus International – Binus University Jakarta, Indonesia

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Erwin Adi

School of Computer Science

Binus International – Binus University Jakarta, Indonesia

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QT 11

Abstract—

Restaurants would avoid losing their customers due to a long wait on the line. Some restaurants initially provide more waiting chairs than they actually need to put them in the safe side, and reducing the chairs as the time goes on safe space.

However, waiting chairs alone would not solve a problem when customers withdraw and go to the competitor’s door; the service time may need to be improved. This shows a need of a numerical model for the restaurant management to understand the situation better.

This paper aims to show that queuing theory satisfies the model when tested with a real-case scenario. We obtained the data from a restaurant in Jakarta.

We then derive the arrival rate, service rate, utilization rate, waiting time in queue and the probability of potential customers to balk based on the data using Little’s

Theorem and M/M/1 queuing model. The arrival rate at Sushi Tei during its busiest period of the day is 2.22 customers per minute (cpm) while the service rate is 2.24 cpm. 

The average number of customers in the restaurant is 122 and the utilization period is 0.991. We conclude the paper by discussing the benefits of performing queuing analysis to a busy restaurant. 

Keywords—

Queue; Little’s Theorem; Restaurant; Waiting Lines I

 
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