Reliability of three-dimensional consecutive k-type systems

Three-dimensional consecutive k -type systems are widely found in reliability practice such as in sensing systems, but it is not an easy task to evaluate reliability of these systems. In this paper, several three-dimensional consecutive k -type systems, namely, linear connected- ( k 1 , k 2 , k 3 ) -out-of- ( n 1 , n 2 , n 3 ) : F system, linear connected- ( k 1 , k 2 , k 3 ) ! -out-of- ( n 1 , n 2 , n 3 ) : F system, and linear l-connected- ( …