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The multi-server queuing analysis can be used to estimate the average waiting time, queue lengths, number of servers and service rates. These queuing models approximate the performance of queuing systems with multiple queues. In this paper, we use the queuing theory to recognize the optimal number of required human resources in an educational institution carried out in Iran. The queue analysis is performed for different numbers of staff members. Finally, the result of this study shows that the staff members in this department should be reduced. Queuing theory is the mathematical study of waiting lines, or queues. In queuing theory a model is constructed so that queue lengths and waiting times can be predicted. The common problem arises in almost every famous restaurant is that they lose 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. Authors obtained the data from a restaurant Bapu Ki Kutiya in Bhopal, M.P. in order to derive the arrival rate, service rate, utilization rate, waiting time in queue and the probability of potential customers to balk. The collected data is analyzed by using Littles Theorem and M/M/1 queuing model. The arrival rate at Bapu Ki Kutiya, Bhopal during its busiest period of the day is 3.25 customers per minute (cpm) while the service rate is 3.27 cpm during our study period. The average number of customers in the restaurant is 210 and the utilization period is 0.993