The availability and hazard of a system under a cumulative damage process with replacements
type: Item
instance of: scholarly article
title: The availability and hazard of a system under a cumulative damage process with replacements
zbMATH Open document ID: 1211.62178
author: S. Zacks
published in: Methodology and Computing in Applied Probability
publication date: 2010-11-22T00:00:00Z
review text: For a system subject to a cumulative, compound damage process, the reliability function, hazard function and the failure time are considered. Here, the failure occurs if the damage process exceeds a certain threshold \(\beta\). Extending previous results, the hazard and the availability function is examined in the case that the system is replaced after each failure by a new one. After presenting the essential functions in case that there are no replacements, the case of instantaneous replacements and the case of random replacement times is studied.
reviewed by: Kurt Marti
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 60K10
zbMATH DE Number: 5818130
zbMATH Keywords: renewal processes
MaRDI profile type: Publication
full work available at URL: s11009-008-9098-y
OpenAlex ID: W1989345661
cites work: Shock models and wear processes
cites work: Optimal replacement under additive damage in a poisson random environment
cites work: Q4514029
cites work: First-exit times for increasing compound processes
cites work: Q5326954
DOI: 10.1007/S11009-008-9098-Y
description: scientific article; zbMATH DE number 5818130