“…Consecutive-k-out-of-n (Con/k/n) system is arranged in a line consisting of n ordered components, involving the F system and G system, and the F(G) system fails(works) if and only if at least consecutive k components fail (work). Con/k/n system is widely used in quality control systems [21], flow transfer systems [40], sensor detection systems [16], production monitoring systems (PMS) [36], communication systems [17], performance-sharing heating systems [38], and other applications [29]. Moreover, Con/k/n systems are reconfigurable systems whose performance can be improved by changing components' positions, adding redundant components, or replacing components, which gives Con/k/n systems a more flexible way to protect against external risks.…”