Deploying the Queueing Model in the Remote Patient Medical Monitoring System

Ifeoma V. Ngonadi

Abstract


A queueing system can be described as patients arriving for service, waiting for service if it is not immediate, utilizing the service and leaving the system after being served. The queueing model is constructed so that queue lengths and waiting time can be predicted.Remote patient monitoring enables the monitoring of patients’ vital signs outside the conventional clinical settings which may increase access to care and decrease healthcare delivery costs. This paper focuses on applying the queueing model to the remote patient medical monitoring system. This was achieved by writing a java program which adapts an M/M/1queueing model that employs the first come first serve discipline to store the patients’ medical records generated by a simulated mobile phone called the Intelligent Personal Digital Assistant according to when they arrive at the queue. The queueing model gives the summary of the total number of readings generated for each patient and also plots a graph so that the doctor can see the progression of each patient’s readings at a glance. The result of this research work produces an enhanced remote patient medical monitoring system which has the capacity to save lives.

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References


K. E. Agner (2013) plus.maths.org".[Online] Availablehttp://www.pass.maths.org.uk.

S. R.Asmussen, O. J. Boxma, "Editorial introduction". Queueing Systems. vol. 63: 1. doi:10.1007/s11134-009-9151-8 2009.

J. A. Buzacott, J. G.Shanthikumar,Stochastic models of manufacturing systems, Prentice Hall, Englewood Cliffs, 1993.

A. K. Erlang, (1909). "The theory of probabilities and telephone conversations" (PDF). NytTidsskrift for Matematik B. vol. 20 pp. 33–39. Archived from the original (PDF) on 2011-10-01.

G. Feck, E. L. Blair, C. E. Lawrence , “A systems model for burn care”,Med Carevol. 18, pp. 211–218, 1980.

P. R. Harper, A. K. Shahani, “Modelling for the planning and management of bed capacities in hospitals”, JOper Res Soc vol. 53, pp. 11–18, 2002.

J. CHershey, E. N. Weiss, M. A. Cohen,“A stochastic service network model with application to hospital facilities”, Oper Resvol. 29, pp. 1–22, 1981.

D. G. Kendall, "Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain". The Annals of Mathematical Statistics. vol. 24, pp. 338. doi:10.1214/aoms/1177728975. JSTOR 2236285, 1953.

D.G.Kendall, “Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain”, Ann. Math. Stat. 1953.

J. F. C. Kingman, "The first Erlang century—and the next". Queueing Systems. vol. 63, pp. 3–4. doi:10.1007/s11134-009-9147-4, 2009.

J. F. C. Kingman, Atiyah, "The single server queue in heavy traffic".Mathematical Proceedings of the Cambridge Philosophical Society, vol.57pp. 902. doi:10.1017/S0305004100036094. JSTOR 2984229, 1961.

W. D. Lawrence,A.F. A.Virgilio, A. M. Daniel."Performance by Design: Computer Capacity Planning by Example".

A.A. Markov,“Extension of the law of large numbers to dependent quantities”, IzvestiiaFiz.-Matem. Obsch. Kazan Univ., (2nd Ser.), vol. 15 pp. 135–156, 1906.

L. Mayhew, S. David, Using queuing theory to analyse completion times in accident and emergency departments in the light of the Government 4-hour target. Cass Business School. ISBN 978-1-905752-06-5. 2006.

S.Park, S.Jayaraman, “Enhancing the Quality of Life Through Wearable Technology,” in IEEE Engineering in Medicine and Biology Magazine, vol. 22, pp. 41–48, 2003.

F. Pollaczek, ProblèmesStochastiquesposés par le phénomène de formation d'une queue

F. Pollaczek, UebereineAufgabe der Wahrscheinlichkeitstheorie, Math. Z, 1930

K. Schlechter, "Hershey Medical Center to open redesigned emergency room". The Patriot-News, 2009.

V. Sundarapandian, V. Queueing Theory. Probability, Statistics and Queueing Theory. PHI Learning. ISBN 8120338448, 2009.

H. C. Tijms, Algorithmic Analysis of Queues, Chapter 9 in A First Course in Stochastic Models, Wiley, Chichester, 2003.

J. Walrand,An introduction to queueing networks, Prentice Hall, Englewood Cliffs, 1988.

E. N. Weiss J. O.McClain“Administrative days in acute care facilities: A queueing-analytic approach”,Oper Res vol. 35, pp.35–44, 1987.

P. Whittle,"Applied Probability in Great Britain".Operations Research. vol. 50, pp. 227–177. doi:10.1287/opre.50.1.227.17792. JSTOR 3088474, 2002.




DOI: https://doi.org/10.23956/ijarcsse/V7I6/01605

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