APPLICATION OF A STOCHASTIC QUEUE MODEL  IN A RESTAURANT - A CASE STUDY

Arti Tyagi*, Dr. M.S. Saroa** and T.P. Singh***

* Research scholar M.M University Mullana, Ambala

** Professor, Department of Mathematics, M.M University Mullana, Ambala

*** Professor ,Yamuna institute of Engg .& Technology, Gadholi, Yamuna Nagar

QT 13

ABSTRACT: 

This study aims to show that queuing theory satisfies the stochastic model when applied to a practical and real time scenario.

We obtained the data from a famous restaurant A.P. Residency at Ambala City. The various performance measures as utilization rate, waiting time queue length and the probability of potential customers to balk based on the data have been studied using Little’s formulae. 

The study in one way is helpful to increase the quality of service in the Restaurant by anticipating if there are many customers in the queue; on the other hand, the restaurant can set a target profit that should be achieved on daily basis.

In our numerical we have shown mathematically that the service time is needed to be improved in preventing customers balking and go to another competitive restaurant. The study gives more significant than the Simulation Models.

Key Words:

Simulation models, Little’s theorem, Poisson distribution, Utilization factor.