Abstract
In this article, we introduce a new family of mixed shock models. Consider a system whose efficiency is k and the system is affected by r types of shocks, when the efficiency of the system reduces by one unit, regarding the occurrence of each one of the shocks. If K1 shocks of type I, K2 shocks of type II, …, Kr shocks of type r occur, in which K1+K2+…+Kr=k, the system loses its efficiency and fails. The system lifetime reliability function, the reliability of system lifetime in a perfectly functioning state, the reliability of system lifetime in partially working states, and the Laplace transformation of system lifetime have been calculated. In the following, the effect of critical point values on the reliability function of the system lifetime has been studied by using the simulation.
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