International Journal of Scientific & Technology Research

Home About Us Scope Editorial Board Blog/Latest News Contact Us
10th percentile
Powered by  Scopus
Scopus coverage:
Nov 2018 to May 2020


IJSTR >> Volume 1 - Issue 8, September 2012 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

A Study of Waiting And Service Costs of A Multi-Server Queuing Model In A Specialist Hospital

[Full Text]



Kembe, M. M, Onah, E. S, Iorkegh, S



Keywords:- Service Cost, Servers, Utilization factor, Waiting Cost



Abstract:- The effect of queuing in relation to the time spent by patients to access clinical services is increasingly becoming a major source of concern to most health -care providers. This is because keeping patients waiting too long could result to cost to them (waiting cost). Providing too much service capacity to operate a system involves excessive cost. But not providing enough service capacity results in excessive waiting time and cost. In this study, the queuing characteristics at the Riverside Specialist Clinic of the Federal Medical Centre , Makurdi was analysed using a Multi-server queuing Model and the Waiting and service Costs determined with a view to determining the optimal service level. Data for this study was collected at the Riverside specialist clinic for four weeks through observations, interviews and by administering questionnaire. The data was analysed using TORA optimization Software as well as using descriptive analysis. The results of the analysis showed that average queue length, waiting time of patients as well as overutilization of doctors at the Clinic could be reduced at an optimal server level of 12 doctors and at a minimum total cost as against the present server level of 10 doctors with high Total Cost which include waiting and service costs. This model can also be used by decision and other policy makers to solve other Multi-server queuing problems.



[1] Amakon, U.S ‘’.How Large is the Opportunity of Queuing in Service Centres? Evidence from Eastern Nigeria’’. Department of Economics,Nnamdi Azikiwe University, Awka.2008.
[2] Bastani, P ‘’ A Queuing Model of Hospital Congestion’’ .An Unpublished Msc Theses, Department of Mathematics, Simon Fraser University Burnaby,B.C Canada. 2009.
[3] Elegalam “Customer Retention Versus Cost Reduction technique” A Paper Presented at the Bankers Forum held at Lagos, pg.9-10.1978.
[4] Gupta, I., Zoreda, J. and Kramer, N. ‘’Hospital Manpower Planning by Use of Queuing Theory’’. Health Services Research, 6, 76-82.1971
[5] Kandemir-Caues, C., Cauas, L. ‘’, An Application of Queuing Theory to the Relationship between Insulin Level and Number of Insulin Receptors’’. Turkish Journal of Biochemistry, 32 (1): 32-38, 2007.
[6] Khan, M.R. and Callahan, B.B. ‘’Planning Laboratory Staffing with a Queuing Model’’. European Journal of Operational Research, 67, 1993.
[7] Kostas, U.N. ‘’Introduction to Theory of Statistics’’. Mc-Gram Hill, Tokyo. 1983.
[8] McClain, J.O. ‘’.Bed Planning Using Queuing Theory Models of Hospital Occupancy: a Sensitivity Analysis’’. Inquiry, 13,167-176,http://www.ncbi.nlm.nih.gov/ 1976.
[9] Ndukwe,H.C,Omale,S and Opanuga O.O ’ Reducing Queues in Nigerian Hospital Pharmacy’’.African Journal of pharmacy and pharmacology Vol.5(8).pp.1020-1026. 2011.
[10] Nosek, R.A. and Wilson, J.P.’’ Queuing Theory and Customer Satisfaction: A Review of Terminology, Trends and Applications to Pharmacy Practice. Hospital Pharmacy’’, 36,275-276, http://www.drum.lib.umd.edu. 2001.
[11] Obamiro, J.K. ‘Queuing theory and Patient Satisfaction: An overview of terminology & application in Ante-Natal care unit.http://www.upg-bulletin-se.ro
[12] Olaniyi,T.A.’’ An Appraisal of Cost of Queuing in Nigerian Banking Sector: A Case Study of First Bank of Nigeria Plc, Ilorin’’.Journal of Business & Social Sciences. Vol.9, Nos,1&2, pages 139-145. 2004.
[13] Rosenquist, C.J.’’ Queuing analysis: A Useful planning and Management techniques for radiology’’. Journal of Medical Systems, 11,413-4, 1987.
[14] Shimshak, D.G., Gropp, D.D. and Burden, H.D. ‘’ A Priority Queuing Model of a Hospital Pharmacy Unit.’’ European journal of operational Research .7, 350-354. 1981.
[15] Sharma, J.K. ‘’A text book on Operations Research; Theory Applications’’. 4th Edition. Macmillan publishers, India. 2009.
[16] Stakutis C, Boyle T ‘’ Your Health, your Way: Human-enabled Health Care.’’ CA Emerging Technologies, pp. 1-10.2009.
[17] Vikas, S.. ‘’ Use of Queuing Models in Healthcare: Department of Health Policy and Management’’, University of Arkansas for Medical science Available at: http://works.bepress.com/vikas-singh/13.2006.
[18] Young, J.P. ‘’The Basic Model, in a Queuing Theory Approach the Control of Hospital Inpatient Census’’, John Hopkins University, Baltimore, 74-79.http/online library. Wiley.com.1962a.
[19] Young, J.P. .’’Estimating bed Requirements in a Queuing Theory Approach to the Control of Hospital Inpatient Census,’’ John Hopkins University, Baltimore, 98-108. http://online library.wiley.com.1962b.