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Numerical Examples

Let a parallel system be composed of n = 2 identical components, each with FR λ = 0.01 and mission time T = 10 hours, only one of which is needed for system success. Then, total system reliability, by both calculations, is:

Equation

Mean Time to Failure (in hours):

Equation

The failure (hazard) rate for the two-component parallel system is now a function of T:

Equation

This system hazard rate λs(T) can be calculated as a function of any mission time T, as shown in Figure 4.

Figure 4. Plot of the Hazard λ<sub>s</sub>(T) as a Function of Mission Time T. Hazard Rate λ<sub>s</sub>(T) increases as time T increases. This plot can be used to find the λ<sub>s</sub>(T) required to meet a Mission Time of T. Say T = 10, then λ<sub>s</sub>(T) about 0.0018
Figure 4. Plot of the Hazard λs(T) as a Function of Mission Time T. Hazard Rate λs(T) increases as time T increases. This plot can be used to find the λs(T) required to meet a Mission Time of T. Say T = 10, then λs(T) about 0.0018 (Click to Zoom)