Template:Aaw rl

Reliable Life
For the Arrhenius-Weibull relationship, the reliable life, $${{t}_{R}}$$, of a unit for a specified reliability and starting the mission at age zero is given by:


 * $${{t}_{R}}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[ R\left( {{t}_{R}},V \right) \right] \right\}}^{\tfrac{1}{\beta }}}$$

This is the life for which the unit will function successfully with a reliability of $$R({{t}_{R}})$$. If $$R({{t}_{R}})=0.50$$  then  $${{t}_{R}}=\breve{T}$$, the median life, or the life by which half of the units will survive.