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
fDate :
6/1/1999 12:00:00 AM
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;
Journal_Title :
Reliability, IEEE Transactions on
