AN ANALYSES ON PATIENTS’ QUEUING SYSTEM AT MUHAMMAD ABDULLAHI WASE SPECIALIST HOSPITAL, KANO
Abstract
A major cause for concern in hospitals is congestion, which brings about untoward hardship to patients due to long queues and delay in service delivery. This paper seeks to minimize the waiting time of patients by comparing the performance indicators of a single server and multi-server model at the Paediatrics Department of Muhammad Abdullahi Wase Specialist Hospital Kano (MAWSHK). In order to achieve this, primary data was obtained through direct observation which in turn is subjected to the test of goodness of fit to ascertain the distribution that best describes the data. The performance indicators comprising utilization factor, average number of patients in the queue, average number of patients in the system, average waiting time in queue and average waiting time in system for a single server and multi-server model were computed and analyzed respectively. Our findings indicate that the G/G/4 model performs better compared to the G/G/1 model as it minimizes the waiting time of patients
References
Aslan, D. I. (2015). Applications of queues in hospitals in Istanbul. Journal of Social Sciences (COES&RJ-JSS), 4(2), 770–794.
Bhat, U. N. (2015). An introduction to queueing theory: modeling and analysis in applications. Birkhäuser.
Botani, D. S. I., & Hassan, D. J. (2017). Selection optimal queuing model to serve patients at CT scan unit in Erbil Teaching Hospital. Zanco Journal of Humanity Sciences, 21(6), 450–457.
Canadilla P (2019). queueing: Analysis of Queueing Networks and Models. R package version 0.2.12, URL:https://CRAN.R-project.org/package=queueing.
Cullen A. C. and H. C. Frey (1999). Probabilistic Techniques in Exposure Assessment.
A Springer Science & Business Media.
Erlang, A. K. (1909). The theory of probabilities and telephone conversations. Nyt. Tidsskr. Mat. Ser. B, 20, 33–39.
Goswami, V. (2014). A discrete-time queue with balking, reneging, and working vacations. International Journal of Stochastic Analysis, 14, 1-9.
Gross, D. (2008). Fundamentals of queueing theory. John Wiley & Sons.
Ikwunne, T. A., & Onyesolu, M. O. (2016). Optimality test for multi-sever queuing model with homogenous server in the Out-Patient Department (OPD) of Nigeria teaching hospitals. International Journal of Modern Education and Computer Science, 8(4): 9-22
Kembe, M. M., Onah, E. S., & Iorkegh, S. (2012). A study of waiting and service costs of a multi-server queuing model in a specialist hospital. International Journal of Scientific & Technology Research, 1(8): 19–23.
Kendall, D. G. (1953). Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. The Annals of Mathematical Statistics. 24 (3): 338–354.
Kingman, J. F. C. (October 1961). "The single server queue in heavy traffic". Mathematical Proceedings of the Cambridge Philosophical Society. 57 (4): 902.
Kleinrock, L. (1975). Queueingsystems (Vol. 1). New York: Wiley
Lee, A. M. (1966). A Problem of Standards of Service (Chapter 15). Applied Queueing Theory. New York: MacMillan. ISBN 0-333-04079-1.
Little, J. D. C. (1961). A proof for the queuing formula: L= $λ$ W. Operations Research, 9(3): 383–387.
Marchal, W. G. (1976). An approximate formula for waiting time in single server queues. AIIE Transactions, 8(4), 473–474.
R Core Team (2020). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/.
Taha, H. A. (1968). Operations research: an introduction (Preliminary ed.). Applied Queueing Theory.
Copyright (c) 2021 FUDMA JOURNAL OF SCIENCES
This work is licensed under a Creative Commons Attribution 4.0 International License.
FUDMA Journal of Sciences
