The failure rate in reliability: approximations and bounds. (1996)

• Record Type: Journal Article
• Authors: Cocozza-Thivent, Christiane; Kalashnikov, Vladimir
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 9:Number 4(1996)
• Page Start: 497
• Page End: 530
• Publication Date: 1996
• Subjects: regenerative process -- Markov model -- redundant system -- failure rate -- accuracy estimate; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953396000433
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : We consider models typical to the area of reliability, and a failure rate function for processes describing the dynamics of these models. Various approximations of the failure rate function are proposed and their accuracies are investigated. The basic case studied in the paper is a regenerative model. Some interesting particular cases (Markov, semi-Markov, etc.) are considered. All proposed estimates are stated in a tractable analytic form. This article is dedicated to the memory of Roland L. Dobrushin.