Template:Weibull reliable life: Difference between revisions
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=== The Weibull Reliable Life === | === The Weibull Reliable Life === | ||
The reliable life, <math> T_{R} \,\!</math>, of a unit for a specified reliability, | The reliable life, <math> T_{R} \,\!</math>, of a unit for a specified reliability, ''R'', starting the mission at age zero, is given by: | ||
::<math> T_{R}=\gamma +\eta \cdot \left\{ -\ln ( R ) \right\} ^{ \frac{1}{\beta }} </math> | ::<math> T_{R}=\gamma +\eta \cdot \left\{ -\ln ( R ) \right\} ^{ \frac{1}{\beta }} </math> | ||
This is the life for which the unit/item will be functioning successfully with a reliability of <math> R \,\!</math>. If ''R''=0.50, then <math> T_{R}=\breve{T} </math>, the median life, or the life by which half of the units will survive. | This is the life for which the unit/item will be functioning successfully with a reliability of <math> R \,\!</math>. If ''R''=0.50, then <math> T_{R}=\breve{T} </math>, the median life, or the life by which half of the units will survive. | ||
Revision as of 21:34, 9 February 2012
The Weibull Reliable Life
The reliable life, [math]\displaystyle{ T_{R} \,\! }[/math], of a unit for a specified reliability, R, starting the mission at age zero, is given by:
- [math]\displaystyle{ T_{R}=\gamma +\eta \cdot \left\{ -\ln ( R ) \right\} ^{ \frac{1}{\beta }} }[/math]
This is the life for which the unit/item will be functioning successfully with a reliability of [math]\displaystyle{ R \,\! }[/math]. If R=0.50, then [math]\displaystyle{ T_{R}=\breve{T} }[/math], the median life, or the life by which half of the units will survive.