The formula to calculate the Accelerated Aging Rate (AR) is:
\[ AR = \left(1 - \left(1 - DR\right)^{\left(-\frac{1}{t}\right)}\right) \times 100 \]
Where:
Accelerated aging is a testing method used to estimate the lifespan or durability of a product by subjecting it to extreme conditions such as elevated temperatures, humidity, light, vibration, and other environmental stressors. This process is often used in industries such as pharmaceuticals, medical devices, packaging, and other manufacturing sectors to predict how long a product will last under normal conditions. The goal is to identify potential points of failure and address them before the product reaches the market. This method is particularly useful for products that are expected to have a long shelf life, as it allows manufacturers to gather data in a shorter time frame.
Consider an example where:
Using the formula to calculate the Accelerated Aging Rate:
\[ AR = \left(1 - \left(1 - 0.05\right)^{\left(-\frac{1}{2}\right)}\right) \times 100 = -2.56 \% \]
This means that the accelerated aging rate for this example is approximately -2.56%.