MTBF to R(t) conversion

Mean time between failure from a test of n specimens over duration T with r failures, and the corresponding reference reliability values.

✓ validated against legacyoriginal: /calculators/p1_3.htm
MTBF to R(t) conversion — original diagram from /calculators/p1_3.htm
MTBF = n·T/r2500 hr
Failure rate, λ = 1/MTBF0.04 %
R(MTBF) = exp(−λt)0.368
R(0.5·MTBF)0.607
t(R=0.95)/MTBF0.051

Method & references

  • Mean time between failure (MTBF), exponential-distribution reference reliability values.

The computation is a literal port of the original client-side JavaScript from /calculators/p1_3.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

MTBF to R(t) conversion — Engineering ABC