• APPLICATION OF QUEUING THEORY TO WAITING TIME OF OUT-PATIENTS IN HOSPITALS USING M/M/c MODEL

A. M. MOHANKUMARAVELU*

Abstract


Waiting lines are experienced in our daily life. Waiting line or queue causes many inconveniences among the patients. Queuing theory is a mathematical approach to reduce the waiting time. The present study is about the waiting time, service times of the patients were taken and an effective model is used to reduce the waiting time and improve the service. The data collected from out- patients ward in Government Hospital and the highly suitable modeling tool, M/M/c queueing model, the stochastic Birth-death Markov process is used. The Model M/M/c is a multi channel queueing system with Poisson arrival and exponential distribution. Queue is a discipline which is served as First Come First Served (FCFS) basis.The average number of patients, the average time spent by each patient as well as the probability of arrival of patients into the queuing system will be obtained. The study suggests that more number of doctors may employed in the ward to deliver the effective service among the patients to save the valuable lives.


Keywords


M/M/c model, Birth-death Markov process, Poisson arrival, FCFS.

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