Law of reliability - Relation of reliability & system failure

Q.  According to exponential law of reliability, the relationship between the reliability and the system failure due to consistency in occurrence of failure rate, can be generally expressed as _________
- Published on 24 Sep 15

a. R = λt
b. R = -λt
c. R = e λt
d. R = e- λt

ANSWER: R = e- λt

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    Discussion

  • Satyawati Patil   -Posted on 06 Oct 15
    The exponential law of reliability specifies the relationship between the reliability and system failure especially upon the application of constant failure rate. This law can be mathematically represented as,

    R = e-λt
    where, t = operating time & λ = system failure rate

    This law concludes that, if an operating time is similar as that of MTBF (Mean Time Between Failures), then there is a reduction in the probability of successful operation by 37%.

    Law also implies that the reduction continues further, if an operating time is estimated to be greater than the mean time between failures.

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