Title
A stochastic model for a visit to the doctor's office
Abstract
This paper presents a stochastic model of an individual patient's experience during a visit to a doctor's office. The stochastic model is based on tracking the visit of patients at a local family practice clinic. A rigorous, iterative procedure for model development allows the stochastic model to be constructed, evaluated, and validated to establish consistency with both the theoretical stochastic assumptions and the clinic's actual operating environment. This model extends the use of stochastic models in health care in two important respects. First, the stochastic model represents an application of semi-Markov processes in outpatient health care settings. Second, through the use of the infinitesimal generator associated with the transition probability matrices governing patient flow, numerical predictions for first passage times are easily obtained.
Year
DOI
Venue
2007
10.1016/j.mcm.2006.03.022
Mathematical and Computer Modelling
Keywords
Field
DocType
health care,patient flow,health care systems,important respect,theoretical stochastic assumption,actual operating environment,stochastic processes,local family practice clinic,markov and semi-markov models,individual patient,outpatient health care setting,model development,stochastic model,stochastic process,first passage time,transition probability,markov model
Health care,Mathematical optimization,Iterative method,Markov model,Stochastic process,Probability distribution,Stochastic modelling,Infinitesimal generator,First-hitting-time model,Mathematics
Journal
Volume
Issue
ISSN
45
3-4
Mathematical and Computer Modelling
Citations 
PageRank 
References 
13
1.44
8
Authors
2
Name
Order
Citations
PageRank
Murray J. Cote1456.89
William E. Stein27612.55