A remark about "A comment on consecutive-2-out-of-n systems"

In 1986, Du and Hwang proved that the probability of failure in a cyclic double-loop system is always minimized by using some fixed arrangement @s^* of the items. This arrangement @s^* does not depend on the exact values of the failure probabilities of ...

A k-transversal to a family of sets in ${\mathbb{R}}^d$ is a k-dimensional affine subspace that intersects each set of the family. In 1957 Hadwiger provided a necessary and sufficient condition for a family of pairwise disjoint, planar convex sets to have a 1-...$\mathrm{}$${\mathbb{}}^{}$${\mathbb{}}^{}$$\mathrm{}\mathrm{}$${\mathbb{}}^{\mathrm{}}$$\mathrm{}\mathrm{}$