Reliability of an infrared detecting system

The authors present a mathematical model to evaluate the reliability of a infrared detecting system. In many cases the reliability for a complex system cannot be determined with conventional models. Consequently, a combinatorial analysis method should be applied. For example, in a complex system such as infrared systems, this is due to its complex wiring configuration and intricate failure criteria. Based on system configuration and failure criteria, a set of mathematical models has been derived in terms of classical reliability theory and combinatorial analysis. The simplest and most efficient way to apply combinatorial analysis in deriving mathematical models for this type of system is to use the principle of mathematical induction. Then a general analytical solution can be easily obtained. This solution is given in the mathematical proofs