Costing Mixed Coxian Phase-type Systems with Poisson Arrivals

被引：4

作者：

Mcclean, Sally ^{[1
]}

Garg, Lalit ^{[2
]}

Fullerton, Ken ^{[3
]}

机构：

[1] Univ Ulster, Sch Comp & Informat Engn, Coleraine BT52 1SA, Londonderry, North Ireland

[2] Univ Malta, Dept Comp Informat Syst, Msida, Malta

[3] Queens Univ Belfast, Coll Med & Hlth Sci, Belfast, Antrim, North Ireland

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2014年 / 43卷 / 07期

基金：

英国工程与自然科学研究理事会;

关键词：

Length of stay; Markov modeling; Phase-type distributions; Resource management; Primary; 60; Secondary; 60J27; 60J28; MODEL;

D O I：

10.1080/03610926.2013.788713

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Previously, we developed a modeling framework which classifies individuals with respect to their length of stay (LOS) in the transient states of a continuous-time Markov model with a single absorbing state; phase-type models are used for each class of the Markov model. We here add costs and obtain results for moments of total costs in (0, t], for an individual, a cohort arriving at time zero and when arrivals are Poisson. Based on stroke patient data from the Belfast City Hospital we use the overall modelling framework to obtain results for total cost in a given time interval.

引用

页码：1437 / 1452

页数：16

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