Which Response Surface Design is Best: A Performance Comparison of Several Types of Quadratic Response Surface Designs in Symmetric Regions

Technometrics ◽  
1976 ◽  
Vol 18 (4) ◽  
pp. 411-417 ◽  
Author(s):  
James M. Lucas
Keyword(s):  
Response Surface ◽  
Performance Comparison ◽  
Response Surface Design ◽  
Surface Design ◽  
Quadratic Response Surface ◽  
Response Surface Designs ◽  
Quadratic Response ◽  
A Performance

Pseudorandom Number Assignment in Quadratic Response Surface Designs

1987 ◽  
Vol 19 (4) ◽  
pp. 395-403 ◽  
Author(s):  
James R. Hussey ◽  
Raymond H. Myers ◽  
Ernest C. Houck
Keyword(s):  
Response Surface ◽  
Pseudorandom Number ◽  
Quadratic Response Surface ◽  
Response Surface Designs ◽  
Quadratic Response

scholarly journals Second Order Slope Rotatable Designs under Tri-diagonal Correlation Structure of Errors Using a Pair of Incomplete Block Designs

2020 ◽  
pp. 1-11
Author(s):  
B. Sulochana ◽  
B. Re. Victorbabu
Keyword(s):  
Response Surface ◽  
Design Criterion ◽  
Second Order ◽  
Correlation Structure ◽  
Block Designs ◽  
Response Surface Design ◽  
Surface Design ◽  
Response Surface Designs ◽  
Block Sizes ◽  
Important Design

Box and Hunter [1] introduced the concept of rotatability for response surface designs. The concept of slope-rotatability was introduced by Hader and Park [2] as an analogous to rotatability property, which is an important design criterion for response surface design. Slope-rotatable design is that of which the variance of partial derivative is a function of distance from the design (d). Recently, a few measures of slope-rotatability for a given response surface design was introduced. In this paper, a new method of slope rotatability for second order response surface designs under tri-diagonal correlation structure of errors using a pair of symmetrical unequal block arrangements with two unequal block sizes is studied. Further, a study on the dependence of variance function of the second order response surface at different design points for different values of tri-diagonal correlation coefficient ρ which lies between -0.9 to 0.9 and the distance from centre (d) is suggested.

scholarly journals Valorization of Industrial Vegetable Waste Using Dilute HCl Pretreatment

Processes ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 853 ◽  
Author(s):  
Donald Blue ◽  
Dhan Fortela ◽  
William Holmes ◽  
David LaCour ◽  
Shayla LeBoeuf ◽  
...  
Keyword(s):  
Organic Acids ◽  
Response Surface ◽  
Surface Model ◽  
Vegetable Waste ◽  
Surface Design ◽  
Pretreatment Condition ◽  
Biochemical Processes ◽  
Quadratic Response Surface ◽  
Quadratic Response ◽  
Composite Response

A solid vegetable waste stream was subjected to dilute acid (HCl) pretreatment with the goal of converting the waste into a form that is amenable to biochemical processes which could include microbial lipids, biohydrogen, and volatile organic acids production. Specifically, this study was conducted to identify the most suitable pretreatment condition that maximizes the yield or concentration of sugars while minimizing the production of compounds which are inhibitory to microbes (i.e., furfural, hydroxymethylfurfural, and organic acids). Temperatures from 50–150 °C and HCl loading from 0–7 wt % were studied to using an orthogonal central composite response surface design with eight center points. The effects of the variables under study on the resulting concentrations of sugars, organic acids, and furans were determined using the quadratic response surface model. Results indicated that the biomass used in this study contains about 5.7 wt % cellulose and 83.8 wt % hemicellulose/pectin. Within the experimental design, the most suitable pretreatment condition was identified to be at 50 °C and 3.5 wt % HCl. A kinetic study at this condition indicated process completion at 30 mins. that produced a hydrolyzate that contains 31.30 ± 0.44 g/L sugars and 7.40 ± 0.62 g/L organic acids. At this condition, a yield of ~0.47 g sugar/g of dry solid vegetable waste was obtained. The absence of furans suggests the suitability of the resulting hydrolyzate as feedstock for biochemical processes. The results suggested that the sugar concentration of the pretreated biomass is highly affected by the presence of other compounds such as amines, amino acids, and proteins. The effect however, is minimal at low levels of HCl where the highest total sugar production was observed.

Defluoridation of drinking water by magnesium and aluminum electrocoagulation in continuous flow-rate: A response surface design.

2021 ◽  
pp. 1-37
Author(s):  
Ana Gabriela Sierra-Sánchez ◽  
Verónica Martínez-Miranda ◽  
Elia Alejandra Teutli-Sequeira ◽  
Ivonne Linares-Hernández ◽  
Guadalupe Vázquez-Mejía ◽  
...  
Keyword(s):  
Drinking Water ◽  
Response Surface ◽  
Flow Rate ◽  
Continuous Flow ◽  
Response Surface Design ◽  
Surface Design

A New Adaptive Higher Order Response Surface Method

2011 ◽  
Vol 243-249 ◽  
pp. 5946-5954 ◽  
Author(s):  
Feng Han ◽  
Zheng Liang Li ◽  
Wen Liang Fan
Keyword(s):  
Response Surface ◽  
Response Surface Method ◽  
Univariate Analysis ◽  
Higher Order ◽  
Ultimate State ◽  
Strongly Nonlinear ◽  
Surface Method ◽  
Quadratic Response Surface ◽  
Undetermined Coefficient ◽  
Quadratic Response

Response surface method has won numerous concerns in the reliability analysis of structure due to its simplicity and practicability, especially quadratic response surface taking no account of cross terms is most widely used. However, for the complex ultimate state curved surface corresponding to strongly nonlinear, the approximate accuracy of quadratic response surface is apparently not enough, causing a biggish error in estimation of reliability. Although, theoretically, higher order response surface method can resolve this problem, the sharp increase of undetermined coefficient reduces calculation efficiency, and even, cannot achieve. Therefore, on the basis of univariate analysis of multivariable function, an algorithm which can reasonably determine higher order response surface form is presented in this article, able to effectively reduce the number of undetermined coefficients in response surface, so as to reduce computational difficulties and put forward improving measures for possible problems; In addition, based on the tactics of number-theoretic setpoint, a type of scheme of number-theoretic selecting point applicable to response surface method has been developed. Finally, through the analysis of examples, the suggested algorithm was validated, with the result showing that the algorithm has good accuracy and efficiency.

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