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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Veröffentlicht in:Methodology and computing in applied probability Jg. 18; H. 2; S. 377 - 400
Hauptverfasser: Mercier, Sophie, Pham, Hai Ha
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.06.2016
Springer Nature B.V
Springer Verlag
Schlagworte:
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
Online-Zugang:Volltext
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Abstract 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.
AbstractList 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.
Methodology and Computing in Applied Probability
Author Mercier, Sophie
Pham, Hai Ha
Author_xml – sequence: 1
  givenname: Sophie
  surname: Mercier
  fullname: Mercier, Sophie
  email: sophie.mercier@univ-pau.fr
  organization: Laboratoire de Mathématiques et de leurs Applications – Pau (UMR CNRS 5142), Université de Pau et des Pays de l’Adour
– sequence: 2
  givenname: Hai Ha
  surname: Pham
  fullname: Pham, Hai Ha
  organization: Research and Development Institute, Duytan University
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Issue 2
Keywords Ageing properties
60G51
Stochastic order
Reliability
Hazard rate process
Poisson random measure
Two-component series system
Bivariate non homogeneous compound Poisson process
60K10
Language English
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Snippet 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...
Methodology and Computing in Applied Probability
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SubjectTerms 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
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