Modelling the total time spent in an accident and emergency department and the associated costs

Barry Shaw*, Adele H. Marshall

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

The aim of this paper is to analyse the total length of time spent by a group of patients in an Accident and Emergency (A&E) department using a multistage Markov model. A patient’s pathway through A AND E consists of a sequence of stages, such as triage, examination, and a decision of whether to admit to hospital or not. Using Coxian phase-type distributions, this paper models these stages and illustrates the difference in the distribution of the time spent in A and E for those patients who are admitted to hospital, and those patients who are not. A theoretical approach to modelling the costs accumulated by a group of patients in A and E is also presented. The data analysed refers to the time spent by 53,213 patients in the A & E department of a hospital in Northern Ireland over a one year period.

Original languageEnglish
Title of host publicationRecent Advances in Stochastic Modeling and Data Analysis
PublisherWorld Scientific Publishing
Pages172-181
Number of pages10
ISBN (Electronic)9789812709691
ISBN (Print)9812709681, 9789812709684
DOIs
Publication statusPublished - 01 Jan 2007

Keywords

  • A & E department
  • Costs
  • Markov model
  • Patient flow
  • Waiting time

ASJC Scopus subject areas

  • Mathematics(all)

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