A Simulation Study on M/M/1 Queuing Model in a Medical Centre

S. Shanmugasundaram, P. Umarani

Abstract: In this paper, we discuss the application of Simulation in M/M/1 queueing model in a medical centre. The simulation table provides a systematic method of studying the future behaviour of the system over time. The main aim of this paper is to find the waiting time of a patient in the queue, the waiting time of a patient in the medical centre, the idle time of a doctor, the queue length and also to compare with the mathematical solution.

Keywords: Inter - arrival Time, Service time, Waiting time, M/M/1 queueing model, Simulation, Queue length