IDEAS home Printed from https://ideas.repec.org/a/spr/flsman/v32y2020i1d10.1007_s10696-019-09347-6.html
   My bibliography  Save this article

A two-level iteration approach for modeling and analysis of rapid response process with multiple deteriorating patients

Author

Listed:
  • Zexian Zeng

    (Northwestern University)

  • Zhenghao Fan

    (Tsinghua University)

  • Xiaolei Xie

    (Tsinghua University)

  • Colleen H. Swartz

    (University of Kentucky Chandler Medical Center)

  • Paul DePriest

    (Baptist Memorial Health Care Corporation)

  • Jingshan Li

    (University of Wisconsin)

Abstract

In acute care, a patient’s clinical deterioration is often a precursor to serious and often fatal outcomes. To reduce the severity and frequency of negative outcomes, care providers need to response rapidly by providing quick evaluation, triage, and treatment to patients with declining conditions. However, a provider’s availability to respond can be constrained when multiple patients are deteriorating at the same time. To study the multiple patients rapid response process, we introduce a network model with complex structures, such as split, merge, and parallel. Iterative methods are presented to evaluate the mean decision time (i.e., the average time from the detection of a patient’s declining to a physician’s treatment decision being made). It is shown that such methods lead to convergent results and high accuracy in performance evaluation. Such a model provides a quantitative tool for healthcare professionals to design and improve rapid response systems.

Suggested Citation

  • Zexian Zeng & Zhenghao Fan & Xiaolei Xie & Colleen H. Swartz & Paul DePriest & Jingshan Li, 2020. "A two-level iteration approach for modeling and analysis of rapid response process with multiple deteriorating patients," Flexible Services and Manufacturing Journal, Springer, vol. 32(1), pages 35-71, March.
  • Handle: RePEc:spr:flsman:v:32:y:2020:i:1:d:10.1007_s10696-019-09347-6
    DOI: 10.1007/s10696-019-09347-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10696-019-09347-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10696-019-09347-6?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. Linda Green, 2006. "Queueing Analysis in Healthcare," International Series in Operations Research & Management Science, in: Randolph W. Hall (ed.), Patient Flow: Reducing Delay in Healthcare Delivery, chapter 0, pages 281-307, Springer.
    2. Junwen Wang & Jingshan Li & Patricia Howard, 2013. "A system model of work flow in the patient room of hospital emergency department," Health Care Management Science, Springer, vol. 16(4), pages 341-351, December.
    3. Debbie Massey & Leanne M Aitken & Wendy Chaboyer, 2010. "Literature review: do rapid response systems reduce the incidence of major adverse events in the deteriorating ward patient?," Journal of Clinical Nursing, John Wiley & Sons, vol. 19(23‐24), pages 3260-3273, December.
    4. L. Mayhew & D. Smith, 2008. "Using queuing theory to analyse the Government’s 4-h completion time target in Accident and Emergency departments," Health Care Management Science, Springer, vol. 11(1), pages 11-21, March.
    5. Lalit Garg & Sally McClean & Brian Meenan & Peter Millard, 2010. "A non-homogeneous discrete time Markov model for admission scheduling and resource planning in a cost or capacity constrained healthcare system," Health Care Management Science, Springer, vol. 13(2), pages 155-169, June.
    6. Junwen Wang & Shichuan Quan & Jingshan Li & Amy Hollis, 2012. "Modeling and analysis of work flow and staffing level in a computed tomography division of University of Wisconsin Medical Foundation," Health Care Management Science, Springer, vol. 15(2), pages 108-120, June.
    7. Sheldon H. Jacobson & Shane N. Hall & James R. Swisher, 2006. "Discrete-Event Simulation of Health Care Systems," International Series in Operations Research & Management Science, in: Randolph W. Hall (ed.), Patient Flow: Reducing Delay in Healthcare Delivery, chapter 0, pages 211-252, Springer.
    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. Paola Cappanera & Jingshan Li & Evren Sahin & Nico J. Vandaele & Filippo Visintin, 2020. "Editorial for the special issue on “Modelling, simulation, and optimization in health care”," Flexible Services and Manufacturing Journal, Springer, vol. 32(1), pages 1-5, March.

    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. Junwen Wang & Jingshan Li & Patricia Howard, 2013. "A system model of work flow in the patient room of hospital emergency department," Health Care Management Science, Springer, vol. 16(4), pages 341-351, December.
    2. Xiang Zhong & Jie Song & Jingshan Li & Susan M. Ertl & Lauren Fiedler, 2016. "Design and analysis of gastroenterology (GI) clinic in Digestive Health Center of University of Wisconsin Health," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 90-119, June.
    3. 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.
    4. Junwen Wang & Shichuan Quan & Jingshan Li & Amy Hollis, 2012. "Modeling and analysis of work flow and staffing level in a computed tomography division of University of Wisconsin Medical Foundation," Health Care Management Science, Springer, vol. 15(2), pages 108-120, June.
    5. Jingui Xie & Weifen Zhuang & Marcus Ang & Mabel C. Chou & Li Luo & David D. Yao, 2021. "Analytics for Hospital Resource Planning—Two Case Studies," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1863-1885, June.
    6. 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.
    7. Pengyi Shi & Mabel C. Chou & J. G. Dai & Ding Ding & Joe Sim, 2016. "Models and Insights for Hospital Inpatient Operations: Time-Dependent ED Boarding Time," Management Science, INFORMS, vol. 62(1), pages 1-28, January.
    8. Sujee Lee & Philip A. Bain & Albert J. Musa & Jingshan Li, 2021. "A Markov chain model for analysis of physician workflow in primary care clinics," Health Care Management Science, Springer, vol. 24(1), pages 72-91, March.
    9. Peter J. H. Hulshof & Martijn R. K. Mes & Richard J. Boucherie & Erwin W. Hans, 2016. "Patient admission planning using Approximate Dynamic Programming," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 30-61, June.
    10. 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.
    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. Louise Hoyle & Aimee Grant, 2015. "Treatment targets in emergency departments: nurses’ views of how they affect clinical practice," Journal of Clinical Nursing, John Wiley & Sons, vol. 24(15-16), pages 2211-2218, August.
    13. Aimee Grant & Louise Hoyle, 2017. "Print media representations of UK Accident and Emergency treatment targets: Winter 2014–2015," Journal of Clinical Nursing, John Wiley & Sons, vol. 26(23-24), pages 4425-4435, December.
    14. Ran Liu & Xiaolan Xie, 2018. "Physician Staffing for Emergency Departments with Time-Varying Demand," INFORMS Journal on Computing, INFORMS, vol. 30(3), pages 588-607, August.
    15. Andersen, Anders Reenberg & Nielsen, Bo Friis & Reinhardt, Line Blander & Stidsen, Thomas Riis, 2019. "Staff optimization for time-dependent acute patient flow," European Journal of Operational Research, Elsevier, vol. 272(1), pages 94-105.
    16. Vibhanshu Abhishek & Mustafa Dogan & Alexandre Jacquillat, 2021. "Strategic Timing and Dynamic Pricing for Online Resource Allocation," Management Science, INFORMS, vol. 67(8), pages 4880-4907, August.
    17. Mandy Odell, 2015. "Detection and management of the deteriorating ward patient: an evaluation of nursing practice," Journal of Clinical Nursing, John Wiley & Sons, vol. 24(1-2), pages 173-182, January.
    18. Defraeye, Mieke & Van Nieuwenhuyse, Inneke, 2016. "Staffing and scheduling under nonstationary demand for service: A literature review," Omega, Elsevier, vol. 58(C), pages 4-25.
    19. Mahdavi, Mahdi & Malmström, Tomi & van de Klundert, Joris & Elkhuizen, Sylvia & Vissers, Jan, 2013. "Generic operational models in health service operations management: A systematic review," Socio-Economic Planning Sciences, Elsevier, vol. 47(4), pages 271-280.
    20. Shima Azizi & Cem Deniz Caglar Bozkir & Andrew C. Trapp & O. Erhun Kundakcioglu & Ali Kaan Kurbanzade, 2021. "Aid Allocation for Camp‐Based and Urban Refugees with Uncertain Demand and Replenishments," Production and Operations Management, Production and Operations Management Society, vol. 30(12), pages 4455-4474, December.

    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:flsman:v:32:y:2020:i:1:d:10.1007_s10696-019-09347-6. 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.