DocumentCode
1545802
Title
An approach for computing tight numerical bounds on renewal functions
Author
Ayhan, Hayriye ; Limón-Robles, J. ; Wortman, Martin A.
Author_Institution
Sch. of Ind. & Syst. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Volume
48
Issue
2
fYear
1999
fDate
6/1/1999 12:00:00 AM
Firstpage
182
Lastpage
188
Abstract
This method computes tight lower and 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
Keywords
error analysis; failure analysis; integration; maintenance engineering; reliability; Riemann-Stieltjes integration; availability; computational accuracy; error analysis; inter-renewal time distributions; maintained system modelling; renewal equations; renewal functions; tight numerical bounds computation; Availability; Error analysis; Hazards; Integral equations; Laplace equations; Reliability theory; Steady-state; Transient analysis; Upper bound;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/24.784278
Filename
784278
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