Amethod for the calculation of the cumulative failure probability distribution of complex repairable systems
| Autor: | L. Caldarola |
|---|---|
| Rok vydání: | 1976 |
| Předmět: |
Nuclear and High Energy Physics
Distribution (number theory) Mechanical Engineering Failure probability Process (computing) Integral equation Reliability engineering Set (abstract data type) Nuclear Energy and Engineering Joint probability distribution Applied mathematics Probability distribution General Materials Science Unavailability Safety Risk Reliability and Quality Waste Management and Disposal Mathematics |
| Zdroj: | Nuclear Engineering and Design. 36:109-122 |
| ISSN: | 0029-5493 |
| Popis: | A method is proposed for the analytical evaluation of the cumulative failure probability distribution of complex repairable systems. The method is based on a set of integral equations each one referring to a specific minimal cut set of the system. Each integral equation links the unavailability of a minimal cut set to its failure probability density distribution and to the probability that the minimal cut set is down at time t under the condition that it was down at time t ′ ( t ′ ⩽ t ). The limitations for the applicability of the method are also discussed. It has been concluded that the method is applicable if the process describing the failure of a minimal cut set is a ‘delayed semi-regenerative process’. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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