Reliability of All Possible Series-Parallel Redundant Structures of M I.I.D. Units with Two Failure Modes

The paper presents a method for generating systematically and exactly all possible series-parallel (s-p) structures for several i.i.d. units. The method is modified in order to calculate the failure probabilities and reliabilities of all the possible s-p redundant structures for the i.i.d. units with two failure modes. Included is an example of finding an optimal s-p redundant structure subject to four constraints for reliability (two for failure probabilities and two for fail-safe).