| Summary: | This paper studies a reliability modeling for a <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-out-of-<inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>: <inline-formula> <tex-math notation="LaTeX">$F$ </tex-math></inline-formula> load sharing system that operates in a shock environment. Such a system consists of a protective device and <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula> components with load sharing. The base hazard rate of the loading sharing system is affected by random shocks and the protective device. Random shocks can be classified into two types: invalid shock and valid shock. An invalid shock has no influence on the system whereas a valid shock makes the base hazard rate larger. The system fails, if the number of failed components is at least <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>, the system suffers at least <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula> random shocks or the protective device fails, whichever occurs first. A Markov process is used to evaluate system reliability in this paper. A distributed computer system is given to show application of the proposed model.
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