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Published byBlaise Riley Modified about 1 year ago

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Optimisation

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Simplex Steepest ascent

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Optimum U1U1 U2U2 Response surface for an experimental system At the outset of an experimental study the location of the optimum is not known.

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Optimisation by Simplex search I Starting simplex and the first move from the poor conditions Optimum U1U1 U2U2 1 3 2 4

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Optimisation by Simplex search II Progression of the simplex towards the optimum conditions. Optimum U1U1 U2U2 1 3 2 45 6 7 9 11 10 8 12

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First order response surface and path of steepest ascent. Path of steepest ascent Region of fitted first order response surface

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Response Surface Modelling (RSM)

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Central Composite Design Three parts: 1. Factorial or reduced factorial design Estimate of main effects and interactions 2. At least one center point experiment Possible to reveal curvature and estimate the experimental error 3. Experiments on the variable axes Possible to estimate quadratic terms

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Central composite rotatable design for two variables

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Central composite rotatable design for three variables Number of experiments: 2 3 + 4 + 6 = 18

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