Some Recent Developments in Systems Reliability.
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 (S&P). This paper covers the theory and procedures of both techniques, shows their interrelationships with IE, and discusses complexity considerations and computer time needed for preparation of a system formula. The discussion on TR also includes advanced applications such as overall reliability and k-terminal reliability, classes of problems that can conveniently be solved by TR with minor modification of the logic. Originator key words include: System reliability; inclusion-exclusion; sum of disjoint products; topological reliability; m-out-of-n; source-to-multiple terminal reliability. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1985
- Accession Number
- ADA150661
Entities
People
- M. O. Locks
Organizations
- Oklahoma State University–Stillwater