A Markov Modelling Approach for Surgical Process Analysis in Cataract Surgery

Maartje E. Zonderland*, Siebe Brinkhof, Irene C. Notting, Richard J. Boucherie, Fredrik Boer, Gré P.M. Luyten

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

Variability of surgical times heavily affects efficiency and utilisation of the operating room. This chapter develops a data-driven mathematical model that characterises the actions of the surgical process and their contribution to the total surgical time, including variability. The model gives insight into the surgical process, without the need to analyse a large number of surgeries for application of statistical methods. A surgical flow chart of cataract surgery is constructed by observing 85 cataract surgeries performed at Leiden University Medical Center (LUMC), combined with expert opinion. Markov chain analysis, based on this flow chart, is used to analyse the surgical process. The model identifies the sources of delay and variability in the surgical process and provides a structured way of analysing surgeries. The obtained surgical time distribution approximates the empirical surgical time distribution of cataract surgeries performed in 2009 and 2010 at LUMC. The model developed in this chapter may be used to study the influence of modifications in the surgical process and to predict the resulting surgical times. It can easily be adapted to analyse future surgical processes or to represent different surgical procedures.

Original languageEnglish
Title of host publicationHandbook of Healthcare Logistics
Subtitle of host publicationBridging the Gap between Theory and Practice
EditorsMaartje E. Zonderland, Richard J. Boucherie, Erwin W. Hans, Nikky Kortbeek
Place of PublicationCham
PublisherSpringer International Publishing AG
Chapter6
Pages97-110
Number of pages14
ISBN (Electronic)978-3-030-60212-3
ISBN (Print)978-3-030-60211-6
DOIs
Publication statusE-pub ahead of print/First online - 30 Mar 2021

Publication series

NameInternational Series in Operations Research and Management Science
Volume302
ISSN (Print)0884-8289
ISSN (Electronic)2214-7934

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