The Distribution of Service Time of Patients
The aim of this research was to study the distribution of service time of patients at the University of Ilorin Health Services Clinic. The distributions of patients’ arrival and their service time were studied. The system was treated as single, time-independent arrivals with multiple service points. Based on the histograms obtained on the arrival process and the service process, appropriate distributions were fitted and tested using Chi-squared goodness of fit test. It revealed that the arrival process follows a Poisson distribution with an arrival rate of 0.8 patient per 2 minutes while the service process follows a gamma distribution with shape and scale parameters equal to 6 and 0.1 respectively. The mean service time was also found to be around 63 minutes. The results of this study may be useful to understand the magnitude of the problem of queue, relationship between resources and waiting times and to find a solution for alleviating the problem.