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Published in: Journal of Medical Systems 2/2012

01-04-2012 | Original Paper

Queueing for Healthcare

Authors: R. Kannapiran Palvannan, Kiok Liang Teow

Published in: Journal of Medical Systems | Issue 2/2012

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Abstract

Patient queues are prevalent in healthcare and wait time is one measure of access to care. We illustrate Queueing Theory—an analytical tool that has provided many insights to service providers when designing new service systems and managing existing ones. This established theory helps us to quantify the appropriate service capacity to meet the patient demand, balancing system utilization and the patient’s wait time. It considers four key factors that affect the patient’s wait time: average patient demand, average service rate and the variation in both. We illustrate four basic insights that will be useful for managers and doctors who manage healthcare delivery systems, at hospital or department level. Two examples from local hospitals are shown where we have used queueing models to estimate the service capacity and analyze the impact of capacity configurations, while considering the inherent variation in healthcare.
Literature
1.
go back to reference Gross, D., Shortle, J. F., Thompson, J. M., and Harris, C. M., Fundamentals of queueing theory, Wiley series, 2009. Gross, D., Shortle, J. F., Thompson, J. M., and Harris, C. M., Fundamentals of queueing theory, Wiley series, 2009.
2.
go back to reference Halstrøm, H. L., and Jensen, A., The life and works of A.K. Erlang. By E. Brockmeyer, Transactions of the Danish Academy of Technical Sciences, 1948 No. 2. Halstrøm, H. L., and Jensen, A., The life and works of A.K. Erlang. By E. Brockmeyer, Transactions of the Danish Academy of Technical Sciences, 1948 No. 2.
3.
go back to reference Kleinrock, L., Queueing systems: Volume I & II—Theory. Wiley Interscience, New York, 1975. Kleinrock, L., Queueing systems: Volume I & II—Theory. Wiley Interscience, New York, 1975.
4.
go back to reference Green, L., Queueing analysis in healthcare, in Patient flow: reducing delay in healthcare delivery, Hall, R.W., ed., Springer, New York, 281–308, 2006. Green, L., Queueing analysis in healthcare, in Patient flow: reducing delay in healthcare delivery, Hall, R.W., ed., Springer, New York, 281–308, 2006.
5.
go back to reference Fomundam, S., and Herrmann, J. W., A survey of queuing theory applications in healthcare. Technical report, University of Maryland, 2007. Fomundam, S., and Herrmann, J. W., A survey of queuing theory applications in healthcare. Technical report, University of Maryland, 2007.
6.
go back to reference Worthington, D. J., Queueing models or hospital waiting lists. J. Oper. Res. Soc. 38(5):413–422, 1987. Worthington, D. J., Queueing models or hospital waiting lists. J. Oper. Res. Soc. 38(5):413–422, 1987.
7.
go back to reference Restrepo, M., Henderson, S. G., and Topalogu, H., Erlang loss models for the static deployment of ambulances. Health Care Manage. Sci. 12:67–79, 2009.CrossRef Restrepo, M., Henderson, S. G., and Topalogu, H., Erlang loss models for the static deployment of ambulances. Health Care Manage. Sci. 12:67–79, 2009.CrossRef
8.
go back to reference McManus, M. L., Long, M. C., Cooper, A., and Litvak, E., Queueing theory accurately models the need for critical care resources. Anesthesiology 100(5):1271–1276, 2004.CrossRef McManus, M. L., Long, M. C., Cooper, A., and Litvak, E., Queueing theory accurately models the need for critical care resources. Anesthesiology 100(5):1271–1276, 2004.CrossRef
9.
go back to reference Green, L., How many hospital beds? Inquiry 39:400–412, 2002. Winter 2002/2003.CrossRef Green, L., How many hospital beds? Inquiry 39:400–412, 2002. Winter 2002/2003.CrossRef
10.
go back to reference Bagus, A., Place, M., and Posnett, J. W., Dynamics of bed use in accommodating emergency admissions: stochastic simulation model. BMJ 319:155–158, 1999.CrossRef Bagus, A., Place, M., and Posnett, J. W., Dynamics of bed use in accommodating emergency admissions: stochastic simulation model. BMJ 319:155–158, 1999.CrossRef
11.
go back to reference Teow, K. L., Practical operations research applications for healthcare managers. Ann. Acad. Med. Singapore 38:564–566, 2009. Teow, K. L., Practical operations research applications for healthcare managers. Ann. Acad. Med. Singapore 38:564–566, 2009.
12.
go back to reference Teow, K. L., Chia, Y.P., Tan, H. H., Zhu, Z., Heng, B. H., A pure loss queueing model for endoscopy recovering bed planning. NHG Annual Scientific Congress 2009. 16–17 Oct 2009. Teow, K. L., Chia, Y.P., Tan, H. H., Zhu, Z., Heng, B. H., A pure loss queueing model for endoscopy recovering bed planning. NHG Annual Scientific Congress 2009. 16–17 Oct 2009.
13.
go back to reference Palvannan, R. K., Teow, K. L., Zhu, Z., Heng, B. H., Estimating impact of service partitioning with demand variability using queueing theory. NHG Annual Scientific Congress 2009. 16–17 Oct 2009. Palvannan, R. K., Teow, K. L., Zhu, Z., Heng, B. H., Estimating impact of service partitioning with demand variability using queueing theory. NHG Annual Scientific Congress 2009. 16–17 Oct 2009.
Metadata
Title
Queueing for Healthcare
Authors
R. Kannapiran Palvannan
Kiok Liang Teow
Publication date
01-04-2012
Publisher
Springer US
Published in
Journal of Medical Systems / Issue 2/2012
Print ISSN: 0148-5598
Electronic ISSN: 1573-689X
DOI
https://doi.org/10.1007/s10916-010-9499-7

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