Abstract
In the present article, we introduce the m-consecutive-k-out-of-n:F structures with a single change point. The aforementioned system consists of n independent components, of which the first n1 units are identically distributed with common reliability p1, while the remaining ones share a different functioning probability p2. The general setup of the proposed reliability structures is presented in detail, while an explicit expression for determining the number of its path sets of a given size is derived. Additionally, closed formulae for the reliability function and mean time to failure of the aforementioned models are also provided. For illustration purposes, several numerical results and comparisons are presented in order to shed light on the performance of the proposed structure.
Highlights
In the field of Reliability Engineering, an enthralling quest calls for the design of appropriate structures, which are related to real-life applications or existing devices and contrivances
The reliability of the m-consecutive-k-out-of-n: F system consisting of n = n1 + n2 independent and linearly ordered components with a single change point shall be denoted by Rn1,n2,m,k (p1, p2 )
Let us first consider that the m-consecutive-k-out-of-n: F structure with a single change point operates under Scenario 1; namely, the first component of type B, which appears in the structure line, is assumed to be in a functioning state
Summary
In the field of Reliability Engineering, an enthralling quest calls for the design of appropriate structures, which are related to real-life applications or existing devices and contrivances. Throughout the lines of the present paper, we focus on structures with a single change point, e.g., we study reliability systems consisting of two different types of components (see, e.g., [25]).
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