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Reliable Life

For the Arrhenius-Weibull relationship, the reliable life, [math]\displaystyle{ {{t}_{R}} }[/math] , of a unit for a specified reliability and starting the mission at age zero is given by:

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

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