Abstract
Abstract : System reliability analysis calculates the probability of success for a system, based on the component reliabilities and the configuration. First, a logic function is obtained in the form of either a tree, chart, graph, diagram or list of paths. From this logic function a probability formula is derived. The classical or conventional method of generating a formula is inclusion-exclusion (IE). With the past decade there have been some significant new developments that resulted in ways to estimate the system reliability that are more efficient than IE. Two of these techniques are discussed in this paper; sum of disjoint products (SDP), and the topological reliability (TR) of Satyanarayana and Prabhaker (SP inclusion-exclusion; sum of disjoint products; topological reliability; m-out-of-n; source-to-multiple terminal reliability. (Author)
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