Kaufmann A., Grouchko D., Cruon R. Mathematical Models for the Study of the Reliability of Systems

Academic Press, 1977. — 233 p. — (Mathematics in Science & Engineering 124). — ISBN: 0-12-402370-3.The notion of a system is found in all organizations of the living world and of the world created by men. The analysis of complex systems with numerous elements, often interdependent, involves the use of methods that are not yet sufficiently general and that are often too theoretical and of rather academic interest. In spite of this, the analysis and synthesis of complex networks necessarily progresses as much in technological domains as in economical and presently also in biological areas.Lifetime of a Component
Equipment with an Increasing Failure Rate
Study of the Structure of Systems: Structure Functions and Reliability Networks
Study of the Reliability of Systems
Redundance
Systems Presenting Two Dual Types of Failures
Appendix
Polya Functions of Order 2. Totally Positive Functions of Order 2