Template:Ipl ex reliable life

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Reliable Life


For the IPL-exponential model, the reliable life or the mission duration for a desired reliability goal, [math]\displaystyle{ {{t}_{R}}, }[/math] is given by:


[math]\displaystyle{ R({{t}_{R}},V)={{e}^{-K{{V}^{n}}{{t}_{R}}}} }[/math]


[math]\displaystyle{ \ln [R({{t}_{R}},V)]=-K{{V}^{n}}{{t}_{R}} }[/math]


or:


[math]\displaystyle{ {{t}_{R}}=-\frac{1}{K{{V}^{n}}}\ln [R({{t}_{R}},V)] }[/math]