A model for two-unit series multistate Markov repairable systems with repair time omission is developed based on a model for single-unit multistate Markov repairable systems. In the model, each component has three states: perfect operation, minor failure, and complete failure. Repair time for a complete failure, if it is sufficiently short (no longer than a critical value), does not affect the system operation. The critical value is first supposed to be a constant, and then to be a nonnegative random variable. Some reliability indexes, such as the instantaneous availability, the steady-state availability, and the mean time to first failure, are given. Finally, some numerical examples are presented to illustrate the results obtained in the paper.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.