Simple combinations of series and parallel subsystems (or components) can be analyzed by successively reducing subsystems into equivalent parallel or series components.

Figure 11.17 shows a parallel–series system that has a high-level redundancy. The equivalent reliability of the system with m parallel paths of n components each can be expressed as

$\begin{array}{cccc}{R}_{\text{sys}}\hfill & =\hfill & 1-{\left(1-{R}^{n}\right)}^{m}\hfill & \left(11.113\right)\hfill \end{array}$

Figure 11.17

where

Rsys is the equivalent reliability of system

Rn is the equivalent reliability of a path

R is the reliability of a component

n is the total number of ...

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