David O. Ikotun; Alaba T. Owoseni; Justus A. Ademuyiwa

Service Time Management of Doctor's Consultation Using Parallel Service Time in Wesley Guild Hospital, Ilesa, Osun State, Nigeria

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Author(s)

David O. Ikotun ¹ Alaba T. Owoseni ² Justus A. Ademuyiwa ^1,2,*

1. Department of Mathematics and Statistics, Interlink Polytechnic, Ijebu Jesa, Nigeria

2. Department of Mathematics and Statistics, Federal Polytechnic, Ile-Oluji, Nigeria

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2017.01.05

Received: 30 Sep. 2016 / Revised: 1 Nov. 2016 / Accepted: 3 Dec. 2016 / Published: 8 Jan. 2017

Index Terms

Service time, service point, exponential distribution, normal distribution, likelihood ratio test, central limit theorem

Abstract

How to manage patient's service time has been a burden in view of the condition of patients who have to wait for required service from doctors in many hospitals in developing countries. This paper deals with the management of service time of doctor's consultation using parallel service time. Though, the theoretical underlying distribution of service time is exponential, but this research showed service time to be non-exponential but, normal. This unusual distribution of service time was attributed to non-identical services required by patients from doctors in the considered sample space. Secondly, the mean service time from each service point as researched was found the same. This showed that no line could be preferred to other.

Cite This Paper

David O. Ikotun, Alaba T. Owoseni, Justus A. Ademuyiwa, "Service Time Management of Doctor's Consultation Using Parallel Service Time in Wesley Guild Hospital, Ilesa, Osun State, Nigeria", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.3, No.1, pp.49-62, 2017. DOI:10.5815/ijmsc.2017.01.05

Reference

[1]Artalejo J. A. and Gomez-Corral A. A state of independent Markov modulated mechanism for generating event and stochastic model, 2010.

[2]Neuts M. F. The analysis of retrial queues, 2nd Edition Dover Publication, 1999.

[3]Ahn S., Badescu A. L. and Ramaswami V. Time dependent analysis of finite buffer fluid flows and risk model with dwident barrier, 2007.

[4]Alfa A. S. and Neut M. F. An improved distance estimation method, 1995.

[5]Allen J. R. L. Journal of Quaternary Sciences, 2003, 23(3).

[6]Asmussen S. and Koole. Journal of Applied Probability, 1993.

[7]Breur L. and Baun D. An introduction to queuing theory matrix-analytic method. Journal of Applied Probability.

[8]Dubin A. N., Nishimura S. Journal of Applied Mathematics and Stochastic Analysis, 1999, V. 12H4, 393-415, 7.

[9]Lambert J. Van Houdt B. and Blondia C. Point process with finite probabilities, 2006.

[10]Meier-Hellstern K. S. and Neuts M. F. Lume Final Program and Abstract, 1990.

[11]Halfin, S and W. Heavy-Traffic limits for queue with many exponential serves, Operational Research, 1981, 29(3)567-588.

[12]Aamatu and Ariyo (1983): An appraisal of cost queuing in Nigeria Banking Sector.

[13]Oladapo J.O 1998: International Institution to parallel Processing.

[14]Green and Kolesar (1991): Staffing a service system with Appointment Based on Customer Awards. Journal of Operational Research Society doi 10/507/Jor 2013

[15]Beal E, M.L (1995): On minimizing a convex function subject to linear me qualities journal of the Royal statistical society.

[16]Ashly (2002): An appraisal of Cost Queuing in Nigeria. University of Iorin Publication.

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