Network reliability analysis has received considerable attention and is thu
s widely studied to predict and prevent any network failure. However, most
of such works presume perfectly reliable nodes. Although a few studies have
considered both Link and node failures, none of these methods has utilized
the minimal paths or cuts, which are considered as fundamental approaches
in the network reliability evaluation. An efficient method for deducing the
minimal cutsets of a system subject to both link and node failures from th
e minimal cutsets of the system, which assumes perfect node reliability, is
presented. The proposed method does not require re-enumeration of minimal
cutsets for the additional consideration of the node failures. For a simple
extension of such a method, the proposed approach can be embedded in any e
xact or approximate algorithm to account for link failures as well as node
failures. As a result, the application of this method would be more realist
ic and valuable in practice for the reliability evaluation of networks with
unreliable nodes. (C) 1999 Elsevier Science Ltd. All rights reserved.