Application of Queuing Model in a Restaurant (A Case Study of Kalinga Restaurant)

Umar Muhammad Abubakar, Salim Rabi'u Kabara, Umar Tasi'u Mustapha, Mujahid Guda Musa

Abstract: In this work, to show that real life cases scenario when tested satisfied queuing theory, we obtain data from kalinga restaurant, Jodhpur. We then calculated the arrival rate, service rate, utilization rate, waiting time and the probability of potential customers to balk based on the collected data, Littles theorem and M/M/I queuing model. The arrival rate during busiest period of the day is 1.42 customer per minute. The average number of customers in the restaurant is 70 and utilisation rate of 0.9859. We conclude the work by given the concluding remarks.

Keywords: Queue, Little's theorem, exponential distribution