Question 17.5: Suppose the constant failure rates for both the main and the......

Reliability Engineering [1026554]

Suppose the constant failure rates for both the main and the standby units are constant and are given by λ = 0.02 per hour, and the constant failure rate of the switching and sensing unit is $\lambda_{SW}$ = 0.01 per hour. Find the reliability of this system for an operating time of 50 hours

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Using Equation 17.36, we have

$R_S(50)=e^{-0.02 \times 50}\left[1+\frac{0.02}{0.01}\left(1-e^{-0.01 \times 50}\right)\right] \\ =0.6574$ .

$R_S(t)=e^{-\lambda t}\left[1+\frac{\lambda}{\lambda_{S W}}\left(1-e^{-\lambda_{S W} t}\right)\right], \quad t \geq 0$ (17.36)

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