Dynamic k-out-of-n system with component partnership design with two dependent competing failure processes

The adaptive k-out-of-n system composed of multiple types of components that each component can form a partnership with the same type of components or with even better performances to achieve reliability of a working system is called dynamic k-out-of-n with component partnership. A dynamic k-out-of-n reliability model with component partnership is proposed where all components experience dependent failure processes due to simultaneous exposure to degradation and shock loads. The failure processes are dependent due to the arrival of each shock having impact on both failure processes for all components. The dynamic k-out-of-n system is suitable for certain design problems when the minimum number of required components, k, changes dynamically in response to failures. The dynamic k-out-of-n system component partnership considering two dependent competing failure processes is defined where k can change over time to maintain high reliability of the system in response to degradation and shock failures.