Template:Ipl ex reliable life

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]