Several algorithms have been developed to solve the reliability problem for nonseries‐
parallel networks using the sum of disjoint products (SDP) approach. This paper provides a …

Network reliability algorithms which produce sums of disjoint products (SDP) are sensitive to
the order in which the minimal pathsets are analyzed. The minpaths are preprocessed by …

The Abraham-Locks-revised (ALR) sum-of-disjoint products (SDP) algorithm is an efficient
method for obtaining a system reliability formula. The author describes a minor modification …

This paper describes a minimizing version of the Abraham sum-of-disjoint products (sdp)
algorithm, called the Abraham-Locks-Revised (ALR) method, as an improved technique for …

Researchers have proposed cardinality-, lexicographic-, and Hamming-distance-order
methods to preprocess the path terms in sum of disjoint products (SDP) techniques for …

A new method is presented for calculating system reliability by sum of disjoint products.
While the Abraham algorithm (1979) and its successors invert single variables, this new …

An algorithm, based on the Abraham-method, generates a disjoint-sum-form of the structure
function. This algorithm contains two major improvements on the original method, and they …

A simple algorithm for evaluating the symbolic terminal-pair reliability of a complex system is
presented. The system graph is decomposed into two subgraphs through a minimal cut. The …

The multistate networks under consideration consist of a source node, a sink node, and
some independent failure-prone components in between the nodes. The components can …

Available algorithms for measures of network reliability require computation time f (n) where
f is at least exponential in n, the number of failure-prone elements in the system …