An Experimental Design Approach to Solve a Multivariate Optimization Problem | by Bharat Sethuraman Sharman | Jan, 2021

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Finding the optimum enter parameters when the reaction price is unknown

Bharat Sethuraman Sharman

In this submit, I can describe my revel in operating on discovering the utmost price in a multivariate optimization drawback the place the reaction price was once unknown. I labored in this drawback within the ultimate undertaking of a graduate direction in Experimental Design that I took on the University of Waterloo

2³+Four CP Design (Image by Author)
Regression Results for the 2³ + Four CP Design (Image by Author)
Regression Results for the 2³ + Four CP Design after shedding Center Points and Interaction Terms (Image by Author)
Contour Plot of the 2³+ Four CP Design after shedding the middle issues and the interplay phrases (Image by Author)
Path of Steepest Ascent (Image by Author)
Experiment Set 2: 2³ +Four CP Design (Image by Author)
Regression Results for the 2³ + Four CP Design (Image by Author)
Regression Results for the ²³ + Four CP Design after shedding Center Points and Interaction Terms (Image by Author)
Central Composite Design focused across the level (4.5,2.1,4)
Regression Results for the CCD Experimental Design focused at (4.5,2.1,4) (Image by Author)
Contour Plot for the CCD Experimental Design focused at (4.5,2.1,4) — The Arrow Head presentations the approximate route of the utmost build up of y (Image by Author)
Central Composite Design focused across the level (4,2.5,4)
Regression Results for the CCD focused round (4,2.5,4) (Image by Author)
Contour Plot for the CCD focused at (4,2.5,4) — The Arrow Head presentations the approximate route of the utmost build up of y (Image by Author)
Contour Plot for the CCD for areas 4,Five and six — The Arrow Head presentations the approximate route of the utmost build up of y (Image by Author)
Experiment 4: CCD focused at (2,4.5,4) (Image by Author)
Regression Results for the CCD focused round (2,4.5,4) (Image by Author)
Contour Plot for the CCD for the area round (2,4.5,4) — The Optimal Value Region (Image by Author)
Experiments to decide the optimum surroundings of x3 (Image by Author)
Sequence of Experiments carried out to decide the optimum settings (Image by Author)
Description of the Optimal Point (Image by Author)
Computation of the Standard Deviation of Compressive Strength on the Optimal Parameter Settings

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