IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v178y2010i1p67-7610.1007-s10479-009-0548-x.html
   My bibliography  Save this article

A loss network model with overflow for capacity planning of a neonatal unit

Author

Listed:
  • Md Asaduzzaman
  • Thierry Chaussalet
  • Nicola Robertson

Abstract

The main aim of this paper is to derive a solution to the capacity problem faced by many perinatal networks in the United Kingdom. We propose a queueing model to determine the number of cots at all care units for any desired overflow and rejection probability in a neonatal unit. The model formulation is developed, being motivated by overflow models in telecommunication systems. Exact expressions for the overflow and rejection probabilities are derived. The model is then applied to a neonatal unit of a perinatal network in the UK. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Md Asaduzzaman & Thierry Chaussalet & Nicola Robertson, 2010. "A loss network model with overflow for capacity planning of a neonatal unit," Annals of Operations Research, Springer, vol. 178(1), pages 67-76, July.
    • Handle: RePEc:spr:annopr:v:178:y:2010:i:1:p:67-76:10.1007/s10479-009-0548-x
    DOI: 10.1007/s10479-009-0548-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-009-0548-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-009-0548-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nadra Abdalla & Richard Boucherie, 2002. "Blocking Probabilities in Mobile Communications Networks with Time-Varying Rates and Redialing Subscribers," Annals of Operations Research, Springer, vol. 112(1), pages 15-34, April.
    2. Jimmie L. Davis & William A. Massey & Ward Whitt, 1995. "Sensitivity to the Service-Time Distribution in the Nonstationary Erlang Loss Model," Management Science, INFORMS, vol. 41(6), pages 1107-1116, June.
    3. Lixiang Jiang & Ronald Giachetti, 2008. "A queueing network model to analyze the impact of parallelization of care on patient cycle time," Health Care Management Science, Springer, vol. 11(3), pages 248-261, September.
    4. Peter Sendfeld, 2008. "Two Queues with Weighted One-Way Overflow," Methodology and Computing in Applied Probability, Springer, vol. 10(4), pages 557-558, December.
    5. Kim, Seung-Chul & Horowitz, Ira & Young, Karl K. & Buckley, Thomas A., 1999. "Analysis of capacity management of the intensive care unit in a hospital," European Journal of Operational Research, Elsevier, vol. 115(1), pages 36-46, May.
    6. Peter Sendfeld, 2008. "Two Queues with Weighted One-Way Overflow," Methodology and Computing in Applied Probability, Springer, vol. 10(4), pages 531-555, December.
    7. Ridge, J. C. & Jones, S. K. & Nielsen, M. S. & Shahani, A. K., 1998. "Capacity planning for intensive care units," European Journal of Operational Research, Elsevier, vol. 105(2), pages 346-355, March.
    8. Litvak, Nelly & van Rijsbergen, Marleen & Boucherie, Richard J. & van Houdenhoven, Mark, 2008. "Managing the overflow of intensive care patients," European Journal of Operational Research, Elsevier, vol. 185(3), pages 998-1010, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hideaki Takagi & Yuta Kanai & Kazuo Misue, 2017. "Queueing network model for obstetric patient flow in a hospital," Health Care Management Science, Springer, vol. 20(3), pages 433-451, September.
    2. Josephine Varney & Nigel Bean & Mark Mackay, 2019. "The self-regulating nature of occupancy in ICUs: stochastic homoeostasis," Health Care Management Science, Springer, vol. 22(4), pages 615-634, December.
    3. Elvan Gökalp & Nalan Gülpınar & Xuan Vinh Doan, 2020. "Capacity Planning for Networks of Stem‐Cell Donation Centers under Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 29(2), pages 281-297, February.
    4. Asaduzzaman, Md & Chaussalet, Thierry J., 2014. "Capacity planning of a perinatal network with generalised loss network model with overflow," European Journal of Operational Research, Elsevier, vol. 232(1), pages 178-185.
    5. Hui Zhang & Thomas J. Best & Anton Chivu & David O. Meltzer, 2020. "Simulation-based optimization to improve hospital patient assignment to physicians and clinical units," Health Care Management Science, Springer, vol. 23(1), pages 117-141, March.
    6. Yanting Chen & Jingui Xie & Taozeng Zhu, 2023. "Overflow in systems with two servers: the negative consequences," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 838-863, September.
    7. Jie Bai & Andreas Fügener & Jan Schoenfelder & Jens O. Brunner, 2018. "Operations research in intensive care unit management: a literature review," Health Care Management Science, Springer, vol. 21(1), pages 1-24, March.
    8. Song-Hee Kim & Ward Whitt, 2014. "Are Call Center and Hospital Arrivals Well Modeled by Nonhomogeneous Poisson Processes?," Manufacturing & Service Operations Management, INFORMS, vol. 16(3), pages 464-480, July.
    9. Yuta Kanai & Hideaki Takagi, 2021. "Markov chain analysis for the neonatal inpatient flow in a hospital," Health Care Management Science, Springer, vol. 24(1), pages 92-116, March.
    10. Masoumeh Vali & Khodakaram Salimifard & Amir H. Gandomi & Thierry J. Chaussalet, 2022. "Care process optimization in a cardiovascular hospital: an integration of simulation–optimization and data mining," Annals of Operations Research, Springer, vol. 318(1), pages 685-712, November.
    11. Peng, Xu & Tao, Xiaoma, 2018. "Cooperative game of electricity retailers in China's spot electricity market," Energy, Elsevier, vol. 145(C), pages 152-170.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yuta Kanai & Hideaki Takagi, 2021. "Markov chain analysis for the neonatal inpatient flow in a hospital," Health Care Management Science, Springer, vol. 24(1), pages 92-116, March.
    2. John Bowers, 2013. "Balancing operating theatre and bed capacity in a cardiothoracic centre," Health Care Management Science, Springer, vol. 16(3), pages 236-244, September.
    3. Josephine Varney & Nigel Bean & Mark Mackay, 2019. "The self-regulating nature of occupancy in ICUs: stochastic homoeostasis," Health Care Management Science, Springer, vol. 22(4), pages 615-634, December.
    4. Valdmanis, Vivian & Bernet, Patrick & Moises, James, 2010. "Hospital capacity, capability, and emergency preparedness," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1628-1634, December.
    5. Fermín Mallor & Cristina Azcárate, 2014. "Combining optimization with simulation to obtain credible models for intensive care units," Annals of Operations Research, Springer, vol. 221(1), pages 255-271, October.
    6. Jing Li & Ming Dong & Wenhui Zhao, 2015. "Admissions optimisation and premature discharge decisions in intensive care units," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7329-7342, December.
    7. Jie Bai & Andreas Fügener & Jan Schoenfelder & Jens O. Brunner, 2018. "Operations research in intensive care unit management: a literature review," Health Care Management Science, Springer, vol. 21(1), pages 1-24, March.
    8. Fermín Mallor & Cristina Azcárate & Julio Barado, 2016. "Control problems and management policies in health systems: application to intensive care units," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 62-89, June.
    9. Azcarate, Cristina & Esparza, Laida & Mallor, Fermin, 2020. "The problem of the last bed: Contextualization and a new simulation framework for analyzing physician decisions," Omega, Elsevier, vol. 96(C).
    10. Stolletz, Raik & Manitz, Michael, 2013. "The impact of a waiting-time threshold in overflow systems with impatient customers," Omega, Elsevier, vol. 41(2), pages 280-286.
    11. Dellaert, Nico & Jeunet, Jully & Mincsovics, Gergely, 2011. "Budget allocation for permanent and contingent capacity under stochastic demand," International Journal of Production Economics, Elsevier, vol. 131(1), pages 128-138, May.
    12. 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.
    13. Samantha L. Zimmerman & Alexander R. Rutherford & Alexa Waall & Monica Norena & Peter Dodek, 2023. "A queuing model for ventilator capacity management during the COVID-19 pandemic," Health Care Management Science, Springer, vol. 26(2), pages 200-216, June.
    14. Willoughby, Keith A. & Chan, Benjamin T.B. & Marques, Shauna, 2016. "Using simulation to test ideas for improving speech language pathology services," European Journal of Operational Research, Elsevier, vol. 252(2), pages 657-664.
    15. Yin-Chi Chan & Eric W. M. Wong & Gavin Joynt & Paul Lai & Moshe Zukerman, 2018. "Overflow models for the admission of intensive care patients," Health Care Management Science, Springer, vol. 21(4), pages 554-572, December.
    16. Jie Bai & Andreas Fügener & Jochen Gönsch & Jens O. Brunner & Manfred Blobner, 2021. "Managing admission and discharge processes in intensive care units," Health Care Management Science, Springer, vol. 24(4), pages 666-685, December.
    17. Goutam Dutta & Ajay Naik & Dipa Gosai & Priyanko Ghosh, 2021. "A mathematical model for predicting length of postoperative intensive care requirement following cardiac surgery in an Indian hospital," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 330-350, June.
    18. Stef Baas & Sander Dijkstra & Aleida Braaksma & Plom Rooij & Fieke J. Snijders & Lars Tiemessen & Richard J. Boucherie, 2021. "Real-time forecasting of COVID-19 bed occupancy in wards and Intensive Care Units," Health Care Management Science, Springer, vol. 24(2), pages 402-419, June.
    19. Vahab Vahdat & Jacqueline Griffin & James E. Stahl, 2018. "Decreasing patient length of stay via new flexible exam room allocation policies in ambulatory care clinics," Health Care Management Science, Springer, vol. 21(4), pages 492-516, December.
    20. Kim, Seung-Chul & Horowitz, Ira, 2002. "Scheduling hospital services: the efficacy of elective-surgery quotas," Omega, Elsevier, vol. 30(5), pages 335-346, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:178:y:2010:i:1:p:67-76:10.1007/s10479-009-0548-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.