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A queueing model for bed-occupancy management and planning of hospitals

Author

Listed:
  • F Gorunescu

    (University of Medicine and Pharmacy)

  • S I McClean

    (University of Ulster)

  • P H Millard

    (St George's Hospital Medical School)

Abstract

The aim of this paper is, on the one hand, to describe the movement of patients through a hospital department by using classical queueing theory and, on the other hand, to present a way of optimising the use of hospital resources in order to improve hospital care. A queueing model is used to determine the main characteristics of the access of patients to hospital, such as mean bed occupancy and the probability that a demand for hospital care is lost because all beds are occupied. Moreover, we present a technique for optimising the number of beds in order to maintain an acceptable delay probability at a sufficiently low level and, finally, a way of optimising the average cost per day by balancing costs of empty beds against costs of delayed patients.

Suggested Citation

  • F Gorunescu & S I McClean & P H Millard, 2002. "A queueing model for bed-occupancy management and planning of hospitals," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(1), pages 19-24, January.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:1:d:10.1057_palgrave.jors.2601244
    DOI: 10.1057/palgrave.jors.2601244
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    Citations

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    Cited by:

    1. Andersen, Anders Reenberg & Nielsen, Bo Friis & Reinhardt, Line Blander, 2017. "Optimization of hospital ward resources with patient relocation using Markov chain modeling," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1152-1163.
    2. Veneklaas, W. & Leeftink, A.G. & van Boekel, P.H.C.M. & Hans, E.W., 2021. "On the design, implementation, and feasibility of hospital admission services: The admission lounge case," Omega, Elsevier, vol. 100(C).
    3. Kim, Seung-Chul & Horowitz, Ira, 2002. "Scheduling hospital services: the efficacy of elective-surgery quotas," Omega, Elsevier, vol. 30(5), pages 335-346, October.
    4. Mark Isken & Timothy Ward & Steven Littig, 2011. "An open source software project for obstetrical procedure scheduling and occupancy analysis," Health Care Management Science, Springer, vol. 14(1), pages 56-73, March.
    5. Mark Fackrell, 2009. "Modelling healthcare systems with phase-type distributions," Health Care Management Science, Springer, vol. 12(1), pages 11-26, March.
    6. P. -C. G. Vassiliou, 2020. "Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space," Mathematics, MDPI, vol. 8(6), pages 1-23, June.
    7. De Vuyst, Stijn & Bruneel, Herwig & Fiems, Dieter, 2014. "Computationally efficient evaluation of appointment schedules in health care," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1142-1154.
    8. J D Griffiths & N Price-Lloyd & M Smithies & J E Williams, 2005. "Modelling the requirement for supplementary nurses in an intensive care unit," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(2), pages 126-133, February.
    9. repec:dgr:rugsom:02a63 is not listed on IDEAS
    10. Thomas J. Best & Burhaneddin Sandıkçı & Donald D. Eisenstein & David O. Meltzer, 2015. "Managing Hospital Inpatient Bed Capacity Through Partitioning Care into Focused Wings," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 157-176, May.
    11. Almehdawe, Eman & Jewkes, Beth & He, Qi-Ming, 2013. "A Markovian queueing model for ambulance offload delays," European Journal of Operational Research, Elsevier, vol. 226(3), pages 602-614.
    12. Utley, Martin & Gallivan, Steve & Davis, Katie & Daniel, Patricia & Reeves, Paula & Worrall, Jennifer, 2003. "Estimating bed requirements for an intermediate care facility," European Journal of Operational Research, Elsevier, vol. 150(1), pages 92-100, October.
    13. Amir Elalouf & Guy Wachtel, 2022. "Queueing Problems in Emergency Departments: A Review of Practical Approaches and Research Methodologies," SN Operations Research Forum, Springer, vol. 3(1), pages 1-46, March.
    14. Almehdawe, Eman & Jewkes, Beth & He, Qi-Ming, 2016. "Analysis and optimization of an ambulance offload delay and allocation problem," Omega, Elsevier, vol. 65(C), pages 148-158.
    15. Wu, Xiaodan & Li, Juan & Chu, Chao-Hsien, 2019. "Modeling multi-stage healthcare systems with service interactions under blocking for bed allocation," European Journal of Operational Research, Elsevier, vol. 278(3), pages 927-941.
    16. X Li & P Beullens & D Jones & M Tamiz, 2009. "An integrated queuing and multi-objective bed allocation model with application to a hospital in China," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(3), pages 330-338, March.
    17. N C Proudlove & S Black & A Fletcher, 2007. "OR and the challenge to improve the NHS: modelling for insight and improvement in in-patient flows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(2), pages 145-158, February.
    18. Ortiz-Barrios, Miguel & Arias-Fonseca, Sebastián & Ishizaka, Alessio & Barbati, Maria & Avendaño-Collante, Betty & Navarro-Jiménez, Eduardo, 2023. "Artificial intelligence and discrete-event simulation for capacity management of intensive care units during the Covid-19 pandemic: A case study," Journal of Business Research, Elsevier, vol. 160(C).
    19. Martin Utley & Mark Jit & Steve Gallivan, 2008. "Restructuring routine elective services to reduce overall capacity requirements within a local health economy," Health Care Management Science, Springer, vol. 11(3), pages 240-247, September.
    20. Jacqueline Griffin & Shuangjun Xia & Siyang Peng & Pinar Keskinocak, 2012. "Improving patient flow in an obstetric unit," Health Care Management Science, Springer, vol. 15(1), pages 1-14, March.
    21. Jian Chang & Lingjuan Zhang, 2019. "Case Mix Index weighted multi-objective optimization of inpatient bed allocation in general hospital," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 1-19, January.
    22. Donald K. K. Lee & Stefanos A. Zenios, 2009. "Optimal Capacity Overbooking for the Regular Treatment of Chronic Conditions," Operations Research, INFORMS, vol. 57(4), pages 852-865, August.
    23. Akkerman, Renzo & Knip, Marrig, 2002. "Reallocation of beds to reduce waiting time for cardiac surgery," Research Report 02A63, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    24. P.-C.G. Vassiliou, 2021. "Non-Homogeneous Markov Set Systems," Mathematics, MDPI, vol. 9(5), pages 1-25, February.

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