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Ed_F
Level I

Mixture design with special constraints

Good morning,

The aim is to test mixtures of components to target a continuous variable Z.

To achieve this, the blend must contain one (and only one) component from each of the following familly (these categories are made up of components with similar characteristics), plus glycerine (systematically):
Family 1: A, B
Family 2: C, D
Family 3: E, F, G, H, I, J
Family 4: glycerine

Two intermediate continuous variables (Y1 and Y2) can be calculated to indicate whether a run is valid (these two intermediate variables must be within a certain interval for a run to be valid).

After identifying these constraint areas, the aim is to provide a DoE taking into account constraints on inputs (for example, If Family 1 = A then proportion <0.35) to model the impact on Z (rather from a screening perspective).

The method I intended to use:
1 - DoE (families + proportions) to estimate fairly precisely the stress zones on which Y1 and Y2 are in the right range (should I favor a particular DoE? )
2 - Build a much smaller mixing plan (~30 runs) to optimally screen Z. Tho, it seems we can’t create such constraints in JMP.

Do you have any recommendations or steps to follow?

Thank you all, and have a nice day
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