Consecutive-<i>k</i>₁ and <i>k</i>₂-out-of-<i>n</i>: <i>F</i> Structures with a Single Change Point

Abstract

In the present paper, we establish a new consecutive-type reliability model with a single change point. The proposed structure has two common failure criteria and consists of two different types of components. The general framework for constructing the so-called consecutive-k1 and k2-out-of-n: F system with a single change point is launched. In addition, the number of path sets of the proposed structure is determined with the aid of a combinatorial approach. Moreover, two crucial performance characteristics of the proposed model are studied. The numerical investigation carried out reveals that the behavior of the new structure is outperforming against its competitors.

Keywords

• structures with two common failure criteria
• reliability function
• mean time to failure