The Distribution of Service Time of Patients

  • Ayotunde Samson Oladimeji Department of Statistics, University of Ibadan, Nigeria
  • Olayemi Joshua Ibidoja Department of Mathematical Sciences, Federal University Gusau, Nigeria
Keywords: Queuing, arrival time, service time, patients, Chi-squared goodness of fit test

Abstract

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.

Author Biographies

Ayotunde Samson Oladimeji, Department of Statistics, University of Ibadan, Nigeria

Ayotunde Samson Oladimeji is a young researcher and studied at the University of Ilorin Nigeria where he obtained B.Sc. Statistics in 2013. He later proceeded to University of Ibadan Nigeria for his M.Sc. in Statistics. He has good research experience and has a good knowledge of different statistical packages. He is a data scientist and a trained statistician with passion for quality research.

Olayemi Joshua Ibidoja, Department of Mathematical Sciences, Federal University Gusau, Nigeria

Olayemi Joshua Ibidoja is currently a Ph.D. student at the Universiti Sains Malaysia. He attended the University of Ilorin Nigeria where he obtained B.Sc. Statistics in 2013 and MSc. Statistics in 2016 respectively. He served his country at Obafemi Awolowo University Nigeria and currently an academic staff at the Department of Mathematics, Federal University Gusau Nigeria. He has published articles in reputable journals and in addition to a book titled “Introductory Statistics”.

Published
2020-10-13
Section
Articles