A MULTI SERVER QUEUING STRATEGY FOR MEDICAL FACILITY ORGANIZATION THAT INCLUDES BALKING AND RENEGING

Abstract

Hospitals, outpatient clinics, medical laboratories, and many other medical centers all have queues or waiting lines. Waiting queue control solutions are essential to the smooth operation of health care administration. Patients may get dissatisfied and depart medical facilities without receiving treatment as a result of improper queuing control and management. However, there may be correlation between patients ‘reneging at two successive time points, meaning that if a patient reneges at the current time point, there is a chance that they will not renege at the subsequent time point. Correlated reneging is the term for this type of reneging. The idea of correlated reneging in a finite capacity multi server queuing model with resistance to use in healthcare has been presented in this work. Both transient and steady-state assessments of the model are performed. Additionally, we have derived an expression for the correlation coefficients between the inter reneging times and the rate at which the health facility is losing patients as a result of balking, reneging and inadequate capacity. To illustrate the impact of balking and correlated reneging on performance metrics like the average number of patients waiting to be served, the average patient waiting time. Additionally, the impact of server count on performance metrices is examined.