Template:Exponential Conditional Reliability

The Exponential Conditional Reliability
The exponential conditional reliability equation gives the reliability for a mission of $$t$$ duration, having already successfully accumulated $$T$$ hours of operation up to the start of this new mission. The exponential conditional reliability function is:


 * $$R(t|T)=\frac{R(T+t)}{R(T)}=\frac={{e}^{-\lambda t}}$$

which says that the reliability for a mission of $$t$$ duration undertaken after the component or equipment has already accumulated $$T$$ hours of operation from age zero is only a function of the mission duration, and not a function of the age at the beginning of the mission. This is referred to as the memoryless property.