Reliability Evaluation for Binary Directed Tree-Structured Systems Based on Terminal Failure Limit-Value

Abstract

This paper evaluates reliability of binary directed tree-structured systems based on terminal failure limit-value. For the difficult problem with complex structures and directed transitive relation, the paper describes nodes in the tree system using set algebra, and uses set operations to compute a combinational mode of failed nodes, and then describes it with family of sets. On that basis, an effective algorithm is shown, and a numerical example is given to illustrate the algorithm obtained in the paper.