Application of Poisson regression analysis for queueing system of the demand for medical and health service

Article type: Research Article

Authors: Kitbumrungrat, Krieng^a | Tumrasvin, Nardtida^{a; *} | Atthirawong, Walailak^b

Affiliations: [a] Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand | [b] Department of Applied Statistics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok, Thailand

Correspondence: [*] Corresponding author.

Abstract: This paper suggests that log-linear analysis can be used to predict the expected number of patients in a queueing system. A log-linear Poisson regression model has been developed to analyse the time series of count data. In finding a Poisson regression model, parameters are estimated and goodness-of-fit is utilized to carefully extract the best model to fit the count data. The marginal effect is the basis function which can be used in the Poisson regression analysis. As a result, it allows us to arrive at better predictions of welfare health services and rehabilitation decision making.

Keywords: Queuing system, health service system, poisson regression model, log-linear model

DOI: 10.3233/MAS-2006-1405

Journal: Model Assisted Statistics and Applications, vol. 1, no. 4, pp. 257-265, 2006