An approach for computing tight numerical bounds on renewal functions

Authors
Ayhan, H Limon-Robles, J Wortman, MA
Citation
H. Ayhan et al., An approach for computing tight numerical bounds on renewal functions, IEEE RELIAB, 48(2), 1999, pp. 182-188
Citations number
16
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON RELIABILITY
ISSN journal
00189529 → ACNP
Volume
48
Issue
2
Year of publication
1999
Pages
182 - 188
Database
ISI
SICI code
0018-9529(199906)48:2<182:AAFCTN>2.0.ZU;2-6
Abstract
This method computes tight lower & upper bounds for the renewal function. I t is based on Riemann-Stieltjes integration, and provides bounds for solvin g certain renewal equations used in the study of availability. An error ana lysis is given for the numerical bounds when inter-renewal time distributio ns are sufficiently smooth. Three examples are explored that demonstrate th e accuracy of these computed numerical bounds.