IDEAS home Printed from https://ideas.repec.org/a/wly/apsmda/v14y1998i2p165-174.html
   My bibliography  Save this article

Using a continuous‐time Markov model with Poisson arrivals to describe the movements of geriatric patients

Author

Listed:
  • G. J. Taylor
  • S. I. McClean
  • P. H. Millard

Abstract

The population of geriatrics in a given hospital district is relatively stable and therefore we may model the movement of geriatric patients by considering both their stays in hospital and subsequent releases back into the community. The care of the elderly in departments of geriatric medicine may be generally classified into two forms of clinical care, acute/rehabilitative and long stay. Our paper describes the movement of pateints through departments of geriatric medicine and subsequent stays in the community by a four‐stage continuous‐time Markov model, where the stages represent acute/rehabilitative patients, long‐stay patients, ex‐patients in the community and former patients who are now dead, respectively. Admissions are modelled as a Poisson stream and expressions are calculated for the distribution, mean and variance of numbers of patients in each compartment at any time. Using these expressions the model is then fitted to a large data set of hospital spells containing over 10 000 admissions. © 1998 John Wiley & Sons, Ltd.

Suggested Citation

  • G. J. Taylor & S. I. McClean & P. H. Millard, 1998. "Using a continuous‐time Markov model with Poisson arrivals to describe the movements of geriatric patients," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 14(2), pages 165-174, June.
    • Handle: RePEc:wly:apsmda:v:14:y:1998:i:2:p:165-174
    DOI: 10.1002/(SICI)1099-0747(199806)14:23.0.CO;2-#
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1099-0747(199806)14:23.0.CO;2-#
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1099-0747(199806)14:23.0.CO;2-#?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
    ---><---

    Citations

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


    Cited by:

    1. Griffiths, J.D. & Williams, J.E. & Wood, R.M., 2013. "Modelling activities at a neurological rehabilitation unit," European Journal of Operational Research, Elsevier, vol. 226(2), pages 301-312.

    More about this item

    Statistics

    Access and download statistics

    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:wly:apsmda:v:14:y:1998:i:2:p:165-174. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1099-0747 .

    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.