Managing the overflow of intensive care patients

Marleen van Rijsbergen, Richard J. Boucherie, Mark van Houdenhoven, Nelly Litvak

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Abstract

Many hospitals in the Netherlands are confronted with capacity problems at their Intensive Care Units (ICUs) resulting in cancelling operations, overloading the staff with extra patients, or rejecting emergency patients. In practice, the last option is a common choice because juridically, as well as for hospital logistics, rejecting emergency patients has minimal consequences for the hospital. As a result, emergency patients occasionally have to be transported to hospitals far away. In this work, we propose a cooperative solution for the ICU capacity problem. In our model, several hospitals in a region jointly reserve a small number of beds for regional emergency patients. We present a mathematical method for computing the number of regional beds for any given acceptance rate. The analytic approach is inspired by overflow models in telecommunication systems with multiple streams of telephone calls. Simulation studies show that our model is quite accurate. We conclude that cooperation between hospitals helps to achieve a high acceptance level with a smaller number of beds resulting in improved service for all patients.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages16
Publication statusPublished - 2005

Publication series

NameMemorandum
PublisherUniversity of Twente, Department of Applied Mathematics
No.1768
ISSN (Print)0169-2690

Keywords

  • MSC-90B90
  • MSC-90B22
  • MSC-60K25

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    van Rijsbergen, M., Boucherie, R. J., van Houdenhoven, M., & Litvak, N. (2005). Managing the overflow of intensive care patients. (Memorandum; No. 1768). Enschede: University of Twente, Department of Applied Mathematics.