Posbist reliability behavior of typical systems with two types of failure

The posbist reliability theory is based on the possibility assumption and the binary-state assumption. In this paper we study the posbist reliability behavior, in the presence of two failure modes, for various classes of typical systems, including series systems, parallel systems, k-out-of-n systems, series-parallel systems, and parallel-series systems. It is shown that for each typical system, the posbist system reliability is bounded by the minimum and the maximum of the posbist component reliabilities.