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Optimisation. Simplex Steepest ascent Optimum U1U1 U2U2 Response surface for an experimental system At the outset of an experimental study the location.

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Presentation on theme: "Optimisation. Simplex Steepest ascent Optimum U1U1 U2U2 Response surface for an experimental system At the outset of an experimental study the location."— Presentation transcript:

1 Optimisation

2 Simplex Steepest ascent

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

4 Optimisation by Simplex search I Starting simplex and the first move from the poor conditions Optimum U1U1 U2U

5 Optimisation by Simplex search II Progression of the simplex towards the optimum conditions. Optimum U1U1 U2U

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

7 Response Surface Modelling (RSM)

8 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

9 Central composite rotatable design for two variables

10 Central composite rotatable design for three variables Number of experiments: = 18


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