Logistic Model

This chapter includes the following sections:

The Logistic reliability growth model has an S-shaped curve and is given by [3]: MATH (1)where $b$ and $k$ are parameters. Similar to the analysis given for the Gompertz curve, the following may be concluded:

  1. The point of inflection is given by: MATH (2)
  2. When $b>1$ then $T_{i}>0$ and an S-shaped curve will be generated. However, when $0<b\leq 1$ then $T_{i}\leq 0$ and the Logistic reliability growth model will not be described by an S-shaped curve.
  3. The value of $R$ is equal to 0.5 at the inflection point.