A Random Shock Model with Mixed Effect, Including Competing Soft and Sudden Failures, and Dependence

A system is considered, which is subject to external and possibly fatal shocks, with dependence between the fatality of a shock and the system age. Apart from these shocks, the system suffers from competing soft and sudden failures, where soft failures refer to the reaching of a given threshold for...

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Vydáno v:Methodology and computing in applied probability Ročník 18; číslo 2; s. 377 - 400
Hlavní autoři: Mercier, Sophie, Pham, Hai Ha
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.06.2016
Springer Nature B.V
Springer Verlag
Témata:
Business and Management
Computation
Degradation
Economics
Electrical Engineering
Failure
Failure analysis
Failure rates
Fatal
Fault tolerance
Life Sciences
Mathematical models
Mathematics
Mathematics and Statistics
Poisson distribution
Probability
Statistics
Stochastic models
Studies
System reliability
Thresholds
United States > US
Ageing properties
60G51
Stochastic order
Reliability
Hazard rate process
Poisson random measure
Two-component series system
Bivariate non homogeneous compound Poisson process
60K10
ISSN:1387-5841, 1573-7713
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Popis
Shrnutí:A system is considered, which is subject to external and possibly fatal shocks, with dependence between the fatality of a shock and the system age. Apart from these shocks, the system suffers from competing soft and sudden failures, where soft failures refer to the reaching of a given threshold for the degradation level, and sudden failures to accidental failures, characterized by a failure rate. A non-fatal shock increases both degradation level and failure rate of a random amount, with possible dependence between the two increments. The system reliability is calculated by four different methods. Conditions under which the system lifetime is New Better than Used are proposed. The influence of various parameters of the shocks environment on the system lifetime is studied.
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ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-014-9423-6