Abstract
We consider the system consisting of components located on some triangles. This system fails if and only if three components on a triangle fail. This system is called by an adjacent triangle : F triangular lattice system. Our purpose is to propose a useful method for the reliability of the adjacent triangle : F triangular lattice system. For our purpose, we consider a linear connected-(2,(1,2))-out-of-(m, n) : F lattice system. It is shown that the adjacent triangle : F triangular lattice system can be expressed as the linear connected-(2,(1,2))-out-of-(m, n) : F lattice system. We propose a useful method for the reliability of the linear connected-(2,(2,1))-out-of-(m, n) : F lattice system. Some numerical examples are shown.
