2017  OriginalPaper  Buchkapitel
16. Response Surface Methodology
Autoren: Angela Dean, Daniel Voss, Danel Draguljić
2017  OriginalPaper  Buchkapitel
Autoren: Angela Dean, Daniel Voss, Danel Draguljić
\(z_A\)

\(z_B\)

\(z_C\)

\(z_D\)

\(y_{\mathbf{z}1}\)

\(y_{\mathbf{z}2}\)


\(\)1.5

0

\(\)2

0

1.71

1.61

0.5

0

\(\)2

0

0.91

1.30

\(\)1.5

\(\)2

0

0

1.71

1.60

0.5

\(\)2

0

0

1.15

1.29

\(\)1.5

0

0

\(\)2

1.33

1.06

0.5

0

0

\(\)2

1.74

1.98

\(\)1.5

\(\)2

\(\)2

\(\)2

0.64

0.78

0.5

\(\)2

\(\)2

\(\)2

1.51

1.18

Run

\(z_1\)

\(z_2\)

\(z_3\)

\(z_4\)

Yield

PCE


1

1

1

1

1

27.6

43.8

2

\(\)1

\(\)1

1

1

16.6

27.2

3

1

\(\)1

\(\)1

1

15.4

23.6

4

\(\)1

1

\(\)1

1

17.4

26.2

5

1

\(\)1

1

\(\)1

17.0

27.8

6

\(\)1

1

1

\(\)1

19.0

30.2

7

1

1

\(\)1

\(\)1

17.4

25.2

8

\(\)1

\(\)1

\(\)1

\(\)1

12.6

18.8

9

1

\(\)1

1

1

18.6

28.8

10

\(\)1

1

1

1

22.4

36.8

11

1

1

\(\)1

1

21.4

33.4

12

\(\)1

\(\)1

\(\)1

1

14.0

21.0

13

1

1

1

\(\)1

24.0

38.0

14

\(\)1

\(\)1

1

\(\)1

15.6

23.6

15

1

\(\)1

\(\)1

\(\)1

13.0

20.2

16

\(\)1

1

\(\)1

\(\)1

14.4

22.6

17

0

0

0

0

22.6


18

\(\sqrt{2}\)

0

0

0

23.4


19

\(\sqrt{2}\)

0

0

0

20.6


20

0

\(\sqrt{2}\)

0

0

22.6


21

0

\(\sqrt{2}\)

0

0

13.4


22

0

0

\(\sqrt{2}\)

0

20.6


23

0

0

\(\sqrt{2}\)

0

15.6


24

0

0

0

\(\sqrt{2}\)

21.0


25

0

0

0

\(\sqrt{2}\)

17.6

Design point

P

H

T



\(z_P\)

\(x_P\)

\(z_H\)

\(x_H\)

\(z_T\)

\(x_T\)

\(y\)


1

\(\)1

1.25

\(\)1

2.75

\(\)1

20

50

2

1

2.75

\(\)1

2.75

\(\)1

20

48

3

\(\)1

1.25

1

3.25

\(\)1

20

16700

4

1

2.75

1

3.25

\(\)1

20

560

5

\(\)1

1.25

\(\)1

2.75

1

40

320

6

1

2.75

\(\)1

2.75

1

40

18

7

\(\)1

1.25

1

3.25

1

40

19000

8

1

2.75

1

3.25

1

40

5000

9

\(\)2

0.50

0

3.00

0

30

12700

10

2

3.50

0

3.00

0

30

182

11

0

2.00

\(\)2

2.50

0

30

14

12

0

2.00

2

3.50

0

30

27800

13

0

2.00

0

3.00

\(\)2

10

133

14

0

2.00

0

3.00

2

50

4300

15

0

2.00

0

3.00

0

30

57

16

0

2.00

0

3.00

0

30

70

17

0

2.00

0

3.00

0

30

58

18

0

2.00

0

3.00

0

30

56

Design point

Time

Temp.

\(y_{\mathbf{x}, t}\)


1

7.0

232.4

18.5

2

3.0

220.0

22.5

3

11.0

220.0

17.2

4

1.3

190.0

42.2

5

7.0

190.0

28.6

6

7.0

190.0

19.8

7

7.0

190.0

23.6

8

7.0

190.0

24.1

9

7.0

190.0

24.2

10

12.7

190.0

19.1

11

3.0

160.0

54.1

12

11.0

160.0

33.8

13

7.0

147.6

55.4

Design point

T

H

P



\(z_T\)

\(x_T\)

\(z_H\)

\(x_H\)

\(z_P\)

\(x_P\)

\(y\)


1

\(\)1

150

\(\)1

0

0

4

83

2

\(\)1

150

0

50

\(\)1

1

103

3

\(\)1

150

0

50

1

9

94

4

\(\)1

150

1

100

0

4

98

5

0

185

\(\)1

0

\(\)1

1

51

6

0

185

\(\)1

0

1

9

48

7

0

185

1

100

\(\)1

1

106

8

0

185

1

100

1

9

108

9

1

220

\(\)1

0

0

4

36

10

1

220

0

50

\(\)1

1

153

11

1

220

0

50

1

9

107

12

1

220

1

100

0

4

87

13

0

185

0

50

0

4

80

14

0

185

0

50

0

4

81

15

0

185

0

50

0

4

77

16

0

185

0

50

0

4

80

17

0

185

0

50

0

4

82

\(z_A\)

\(z_B\)

\(z_C\)

\(z_D\)

\(y_{\mathbf{z}1}\)

\(y_{\mathbf{z}2}\)


\(\)1.5

0

\(\)2

0

1.71

1.61

0.5

0

\(\)2

0

0.91

1.30

\(\)1.5

\(\)2

0

0

1.71

1.60

0.5

\(\)2

0

0

1.15

1.29

\(\)1.5

0

0

\(\)2

1.33

1.06

0.5

0

0

\(\)2

1.74

1.98

\(\)1.5

\(\)2

\(\)2

\(\)2

0.64

0.78

0.5

\(\)2

\(\)2

\(\)2

1.51

1.18

Run

\(z_1\)

\(z_2\)

\(z_3\)

\(z_4\)

Yield

PCE


1

1

1

1

1

27.6

43.8

2

\(\)1

\(\)1

1

1

16.6

27.2

3

1

\(\)1

\(\)1

1

15.4

23.6

4

\(\)1

1

\(\)1

1

17.4

26.2

5

1

\(\)1

1

\(\)1

17.0

27.8

6

\(\)1

1

1

\(\)1

19.0

30.2

7

1

1

\(\)1

\(\)1

17.4

25.2

8

\(\)1

\(\)1

\(\)1

\(\)1

12.6

18.8

9

1

\(\)1

1

1

18.6

28.8

10

\(\)1

1

1

1

22.4

36.8

11

1

1

\(\)1

1

21.4

33.4

12

\(\)1

\(\)1

\(\)1

1

14.0

21.0

13

1

1

1

\(\)1

24.0

38.0

14

\(\)1

\(\)1

1

\(\)1

15.6

23.6

15

1

\(\)1

\(\)1

\(\)1

13.0

20.2

16

\(\)1

1

\(\)1

\(\)1

14.4

22.6

17

0

0

0

0

22.6


18

\(\sqrt{2}\)

0

0

0

23.4


19

\(\sqrt{2}\)

0

0

0

20.6


20

0

\(\sqrt{2}\)

0

0

22.6


21

0

\(\sqrt{2}\)

0

0

13.4


22

0

0

\(\sqrt{2}\)

0

20.6


23

0

0

\(\sqrt{2}\)

0

15.6


24

0

0

0

\(\sqrt{2}\)

21.0


25

0

0

0

\(\sqrt{2}\)

17.6

Design point

P

H

T



\(z_P\)

\(x_P\)

\(z_H\)

\(x_H\)

\(z_T\)

\(x_T\)

\(y\)


1

\(\)1

1.25

\(\)1

2.75

\(\)1

20

50

2

1

2.75

\(\)1

2.75

\(\)1

20

48

3

\(\)1

1.25

1

3.25

\(\)1

20

16700

4

1

2.75

1

3.25

\(\)1

20

560

5

\(\)1

1.25

\(\)1

2.75

1

40

320

6

1

2.75

\(\)1

2.75

1

40

18

7

\(\)1

1.25

1

3.25

1

40

19000

8

1

2.75

1

3.25

1

40

5000

9

\(\)2

0.50

0

3.00

0

30

12700

10

2

3.50

0

3.00

0

30

182

11

0

2.00

\(\)2

2.50

0

30

14

12

0

2.00

2

3.50

0

30

27800

13

0

2.00

0

3.00

\(\)2

10

133

14

0

2.00

0

3.00

2

50

4300

15

0

2.00

0

3.00

0

30

57

16

0

2.00

0

3.00

0

30

70

17

0

2.00

0

3.00

0

30

58

18

0

2.00

0

3.00

0

30

56

Design point

Time

Temp.

\(y_{\mathbf{x}, t}\)


1

7.0

232.4

18.5

2

3.0

220.0

22.5

3

11.0

220.0

17.2

4

1.3

190.0

42.2

5

7.0

190.0

28.6

6

7.0

190.0

19.8

7

7.0

190.0

23.6

8

7.0

190.0

24.1

9

7.0

190.0

24.2

10

12.7

190.0

19.1

11

3.0

160.0

54.1

12

11.0

160.0

33.8

13

7.0

147.6

55.4

Design point

T

H

P



\(z_T\)

\(x_T\)

\(z_H\)

\(x_H\)

\(z_P\)

\(x_P\)

\(y\)


1

\(\)1

150

\(\)1

0

0

4

83

2

\(\)1

150

0

50

\(\)1

1

103

3

\(\)1

150

0

50

1

9

94

4

\(\)1

150

1

100

0

4

98

5

0

185

\(\)1

0

\(\)1

1

51

6

0

185

\(\)1

0

1

9

48

7

0

185

1

100

\(\)1

1

106

8

0

185

1

100

1

9

108

9

1

220

\(\)1

0

0

4

36

10

1

220

0

50

\(\)1

1

153

11

1

220

0

50

1

9

107

12

1

220

1

100

0

4

87

13

0

185

0

50

0

4

80

14

0

185

0

50

0

4

81

15

0

185

0

50

0

4

77

16

0

185

0

50

0

4

80

17

0

185

0

50

0

4

82

Print ISBN: 9783319522487
Electronic ISBN: 9783319522500
CopyrightJahr: 2017
https://doi.org/10.1007/9783319522500
Version: 0.789.0