An approach for computing tight numerical bounds on renewal functions

被引：23

作者：

Ayhan, H ^{[1
]}

Limón-Robles, J

Wortman, MA

机构：

[1] Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA

[2] ITESM, Dept Control Engn, Monterrey, Mexico

[3] Texas A&M Univ, Dept Ind Engn, College Stn, TX 77843 USA

来源：

IEEE TRANSACTIONS ON RELIABILITY | 1999年 / 48卷 / 02期

关键词：

renewal equation; renewal function; Riemann-Stieltjes integral;

D O I：

10.1109/24.784278

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

This method computes tight lower & upper bounds for the renewal function. It is based on Riemann-Stieltjes integration, and provides bounds for solving certain renewal equations used in the study of availability. An error analysis is given for the numerical bounds when inter-renewal time distributions are sufficiently smooth. Three examples are explored that demonstrate the accuracy of these computed numerical bounds.

引用

页码：182 / 188

页数：7

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