G.D. Mishra, Vijiya Singh Chauhan, Nikita Chandra, A Study of Service in Restaurant by Using Queuing Model, BSMaSS Volume 5, The Bulletin of Society for Mathematical Services and Standards (Volume 5)
https://www.scipress.com/BSMaSS.5.14
Abstract:
    The restaurants want to avoid losing their customers due to a long wait on the line. 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. 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. We conclude the paper by discussing the benefits of performing queuing analysis to a busy restaurant.
Keywords:
    Little’s Theorem, Queue, Restaurant, Waiting Lines