Setting Linear Constraints for Extreme Vertices Designsmain topics how to
Setting Linear Constraints for Extreme Vertices DesignsIn addition to the individual bounds on the components, you may have up to ten linear constraints on the set of components. For example, you would need a linear constraint in the following situation. Suppose you need to constrain the wet ingredients (eggs, milk, oil) of a cake mix so that together they are not less than 40% or greater than 60% of the total mixture. If you are willing to allow equal amounts of these three ingredients, you would use the following values for the linear constraint: lower value is 0.4, the upper value is 0.6, and the component coefficients are all 1. Examples for a four-component blend are shown in the table below:
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Coefficients |
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Condition |
Lower Value |
A |
B |
C |
D |
Upper Value |
|
A + B > 10 and A + B < 20 |
10 |
1 |
1 |
|
|
20 |
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5A + 3B + 8D < 0.1 |
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5 |
3 |
|
8 |
0.1 |
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0.5B + 0.8D > 0.9 |
0.9 |
|
0.5 |
0.8 |
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