In the following formulas, 
is the predicted value of a response variable. For a continuous
response variable, 
is a real number. For a categorical response variable, 
is the sum of the probabilities for the selected classes.
If you want to maximize a response, the desirability is calculated as:
| di = 0 |  |
di =  |
 |
| di = 1 |  |
If you want to minimize a response, the desirability is calculated as:
| di = 0 |  |
di =  |
 |
| di = 1 |  |
If you want to target a response, the desirability is calculated as:
di =  |
 |
di =  |
 |
| di = 0 |  |
| di = 0 |  |
Notation
| Term | Description |
|---|---|
 | predicted value of ith response |
| Ti | target value of ith response |
| Li | lowest acceptable value for ith response |
| Ui | highest acceptable value for ith response |
| di | desirability for ith response |
| D | composite desirability |
| ri | weight of desirability function of ith response |
| wi | importance of ith response |
| W |  |
