Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/246349 
Year of Publication: 
2018
Citation: 
[Journal:] Operations Research Perspectives [ISSN:] 2214-7160 [Volume:] 5 [Publisher:] Elsevier [Place:] Amsterdam [Year:] 2018 [Pages:] 191-198
Publisher: 
Elsevier, Amsterdam
Abstract: 
This paper studies a repairable k-out-of-n:G system with failure dependencies, N-policy and repairman's multiple vacations. Whenever there are no broken components, the repairman leaves for a vacation which obeys a phase type distribution. Upon returning from his/her vacation, he/she takes another vacation if broken components waiting less than N. This pattern continues until at least N broken components are waiting. By using the Markov process theory, the matrix analytical method and the probabilistic properties of the phase type distribution, the availability and the rate of occurrence of failures of the system are derived in transient and stationary regimes. Further, numerical examples discuss the behavior of the system reliability measures.
Subjects: 
k-out-of-n:G system
Redundant dependency
Reliability measure
Matrix analytical method
Phase type
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article

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