I want to add a non-linear constraint on the DOE mixture-process problem. For examle, lets say that we have a mixture of A, B and C with limits on amount of each given [amin, amax], [bmin, bmax], [cmin, cmax]. Now there is the fourth component in the mixture (water) which is used to control the density of the formulation. We put more water to lower the density and decrease the amount of water to increase the density. There is a bound on minimum amount of water which the formulatin needs to have otherwise the process will not be able to mix the formulation. So i am handling the amount of water as a density process variable which has to follow the following constraint: Density>(1+A*wa+B*wb+C*wc)/(A/da+B/db+C/dc+( A*wa+B*wb+C*wc)/dw ), where, wa, wb and wc are constants. A, B and C refer to mass fraction of each component. da, db ad bc and dw are also constants. How can i make sure that the DOE which is designed can take into account such a constraint. Any help will be appreciated. PS. i am mostly a jmp newbie so not very adept at scripting. But i have good programming background so i should be able to handle scripting if needed to achieve this.
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