The consecutive-k-out-of-n:F system has attracted a lot of attention in the reliability field recently. Up to now it is always assumed that nodes can fail but not links, although most examples given for the system show no reason for such an assumption. This paper not only allows links to fail, but allow both nodes & links to fail, with distinct probabilities. For the k=2 case we set up recursive equations for system reliability, and give a closed-form solution. We then prove that for n large, the reliability is decreasing in n (with one exceptional case) and higher reliability should be provided to the nodes, then to the longer links rather than to shorter links.
All Science Journal Classification (ASJC) codes
- Safety, Risk, Reliability and Quality
- Electrical and Electronic Engineering