What-if Study

 

The user can examine how the results change as conditions change using What-if Study.

 

Figure 1  What-if Study

 

The Design Index for i-th trial () is calculated as follows:

                                                   (1)

 

1.  Objective Functions

For Max type:              (2)

For Min type:               (3)

 

The largest value in each trial among checked Objective Functions is returned.

                                                (4)

 

is normalized weighting factor which is obtained by dividing the weighting factor of n-th PI by the sum of all weighting factors for checked PIs.

                                                       (5)

is the difference between the maximum and minimum values of the n-th PI.

                                                       (6)

 

2.  Constraints

For LE (<=):                    (7)

For GE (>=):                    (8)

If the is negative, it returns zero.

 

 is obtained by multiplying the weighting factor of Constraints by the sum of all the checked PIs.

                                  (9)

 

Where,

: PI index

: the number of checked PI

: Trial number

: Weighting factor