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Bivariate preventive maintenance for repairable systems subject to random shocks
- Bivariate preventive maintenance for repairable systems subject to random shocks
- Cha J.H.; Finkelstein M.; Levitin G.
- Ewha Authors
- SCOPUS Author ID
- Issue Date
- Journal Title
- Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
- vol. 231, no. 6, pp. 643 - 653
- bivariate optimization; intensity process; minimal repair; Poisson shock process; Preventive maintenance
- SAGE Publications Ltd
- SCIE; SCOPUS
- We consider a bivariate model for preventive maintenance for items operating in a random environment modeled by a Poisson process of shocks. An item is replaced on the predetermined replacement time or on a shock with the predetermined number, whichever comes first. Its failures are minimally repaired in-between. Each shock in our stochastic model has a double effect. First, it acts directly on the failure rate of an item, which results in the corresponding stochastic intensity process. Second, each shock causes additional “damage,” which can be attributed, for example, to a short drop in the output of a system or other adverse consequences. The corresponding bivariate optimization problem is considered and illustrated by detailed numerical examples. © 2017, © IMechE 2017.
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