On the Reliability of the Self-Dual k-Out-of-n Systems

Here we consider a class of k-out-of-n systems and study the variation of their reliability under different assumptions. We show that a way to achieve highly reliable self-dual k-out-of-n systems is to maintain the reliability of the components at a level of performance above 1/2. We extend our asymptotic results to systems with multiple self-dual k-out-of-n subsystems.