The failure rate in reliability: approximations and bounds-Reference-Cited by-同舟云学术

The failure rate in reliability: approximations and bounds

Published:1996-01-01 Issue:4 Volume:9 Page:497-530
ISSN:1048-9533
Container-title:Journal of Applied Mathematics and Stochastic Analysis
language:en
Short-container-title:Journal of Applied Mathematics and Stochastic Analysis

Author:

Cocozza-Thivent Christiane¹,Kalashnikov Vladimir²

Affiliation:

1. Université de Marne-la-Vallée, Equipe d'Analyse et de Mathématiques Appliquées, 2 rue de la Butte Verte, Noisy-le-Grande Cedex 93166, France

2. Institute of Systems Analysis, 9, Prospect 60 let Oktyabrya, Moscow 117312 , Russia

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Link

http://downloads.hindawi.com/archive/1996/561390.pdf

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