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Journal articles on the topic 'Quadratic Response Surface'

Author: Grafiati

Published: 8 September 2023

Last updated: 31 July 2025

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1

A.V, Dattatreya Rao, and Seshubabu P. "Quadratic response surface designs." International Journal of Advances in Computing and Information Technology 1, no. 2 (2012): 174–81. http://dx.doi.org/10.6088/ijacit.12.10022.

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Shehzad, Muhammad Ahmed, Adnan Bashir, Muhammad Noor Ul Amin, Saima Khan Khosa, Muhammad Aslam, and Zubair Ahmad. "Reservoir Inflow Prediction by Employing Response Surface-Based Models Conjunction with Wavelet and Bootstrap Techniques." Mathematical Problems in Engineering 2021 (November 10, 2021): 1–9. http://dx.doi.org/10.1155/2021/4086918.

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Reservoir inflow prediction is a vital subject in the field of hydrology because it determines the flood event. The negative impact of the floods could be minimized greatly if the flood frequency is predicted accurately in advance. In the present study, a novel hybrid model, bootstrap quadratic response surface is developed to test daily streamflow prediction. The developed bootstrap quadratic response surface model is compared with multiple linear regression model, first-order response surface model, quadratic response surface model, wavelet first-order response surface model, wavelet quadrat

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3

Song, Wheyming Tina, and Chien-Chou Su. "CORRELATED SIMULATION EXPERIMENT IN QUADRATIC RESPONSE SURFACE DESIGNS." Journal of the Chinese Institute of Industrial Engineers 19, no. 3 (2002): 13–18. http://dx.doi.org/10.1080/10170660209509199.

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4

Hussey, James R., Raymond H. Myers, and Ernest C. Houck. "Pseudorandom Number Assignment in Quadratic Response Surface Designs." IIE Transactions 19, no. 4 (1987): 395–403. http://dx.doi.org/10.1080/07408178708975412.

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5

Hong, Kyung-Jin, Min-Soo Kim, and Dong-Hoon Choi. "Efficient approximation method for constructing quadratic response surface model." KSME International Journal 15, no. 7 (2001): 876–88. http://dx.doi.org/10.1007/bf03185266.

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6

Paulinus Akra, Ukeme, Ofong Edet Ntekim, and Edet Effiong Bassey. "On E–Optimality Design for Quadratic Response Surface Model." International Journal of Mathematical Sciences and Computing 10, no. 2 (2024): 13–22. http://dx.doi.org/10.5815/ijmsc.2024.02.02.

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7

Qin, Li, Wei Lin Peng, and Wei Han. "High-Order RSM for Dynamic Reliability of UHV Transmission Tower." Applied Mechanics and Materials 799-800 (October 2015): 1295–98. http://dx.doi.org/10.4028/www.scientific.net/amm.799-800.1295.

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As transmission tower system has the characteristics of large-span and spatial truss structure, the study of the reliability is also developed on the basis of space truss research and large-span structure system. As simple and suitable, RSM (response surface method), in particular, quadratic response surface without considering the cross term is often used in reliability calculation. However, strong nonlinear limit that corresponding to a complex surface, the accuracy of quadratic response surface is inadequate, causing greater reliability estimation error. High-order response surface solves i

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8

Han, Feng, Zheng Liang Li, and Wen Liang Fan. "A New Adaptive Higher Order Response Surface Method." Advanced Materials Research 243-249 (May 2011): 5946–54. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.5946.

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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 calcu

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Ainy Hafeez, Ainy Hafeez, Syed Mohsin Ali Kazmi Syed Mohsin Ali Kazmi, Muhammad Sulaiman Muhammad Sulaiman, and Chaudhry Haider Ali and Nadeem Feroze Chaudhry Haider Ali and Nadeem Feroze. "Optimization of Zinc Ions Removal by Modified Phoenix Dactylifera L. Seeds Using Response Surface Methodology." Journal of the chemical society of pakistan 41, no. 1 (2019): 78. http://dx.doi.org/10.52568/000719/jcsp/41.01.2019.

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The current study investigates the role of Phoenix Dactylifera L. (date palm) seeds as an effective biosorbent for removing Zn+2, a toxic heavy metal pollutant usually found in the waste streams of industries like fertilizer, mining and galvanizing etc. Date palm seeds were washed, dried, crushed in 170-300 um and modified by acidic treatment (0.1 MHNO3). The effect of most important parameters i.e., pH (3.5-6.1), initial zinc ion concentration (5-100mg/l), biosorbent dosage (0.1-1g) and contact time (0.5-60sec) have been studied via design expert software (version 8.0.6) of response surface m

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10

Law, Poh Gaik, Noor Haida Sebran, Ashraf Zin Zawawi, and Azlan Shah Hussain. "Optimization Study of Biomass Hydrogenation to Ethylene Glycol Using Response Surface Methodology." Processes 8, no. 5 (2020): 588. http://dx.doi.org/10.3390/pr8050588.

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Statistical-based study using response surface methodology (RSM) was conducted to study the effects of process parameters towards biomass hydrogenation. Using Malaysian oil palm empty fruit bunches (EFB) fibres as feedstock, the central composite design (CCD) technique was employed and 18 runs were generated by CCD when four parameters (mass ratio of binary catalyst, hydrogen pressure, temperature and mass ratio of catalyst to feedstock) were varied with two center points to determine the effects of process parameters and eventually to get optimum ethylene glycol (EG) yield. RSM with quadratic

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11

C, Satheesh, Sevvel P, and Senthil Kumar R. "Experimental Identification of Optimized Process Parameters for FSW of AZ91C Mg Alloy Using Quadratic Regression Models." Strojniški vestnik – Journal of Mechanical Engineering 66, no. 12 (2020): 736–51. http://dx.doi.org/10.5545/sv-jme.2020.6929.

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This experimental work aims to devise and establish quadratic regression equations, including various input criteria of a friction stir welding (FSW) technique to predict and determine the responses during the fabrication of AZ91C Mg alloy joints. The input process parameters taken into consideration include the traversing speed of the tool, the speed of rotation of the tool, its pin profile (geometry) and the axial force. A five-level, 4 four-factor composite design (of central nature) was applied, and response surface methodology (RSM) was used to formulate quadratic regression models, to de

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Mohamed, Skander Daas, and Chikhi Salim. "RESPONSE SURFACE METHODOLOGY FOR PERFORMANCE ANALYSIS AND MODELING OF MANET ROUTING PROTOCOLS." International Journal of Computer Networks & Communications (IJCNC) 10, no. 1 (2018): 1–17. https://doi.org/10.5281/zenodo.1184479.

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ABSTRACT Numerous studies have analyzed the performances of routing protocols in mobile Ad-hoc networks (MANETs); most of these studies vary at most one or two parameters in experiments and do not study the interactions among these parameters. Furthermore, efficient mathematical modeling of the performances has not been investigated; such models can be useful for performance analysis, optimization, and prediction. This study aims to show the effectiveness of the response surface methodology (RSM) on the performance analysis of routing protocols in MANETs and establish a relationship between th

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13

Gengec, E., M. Kobya, E. Demirbas, A. Akyol, and K. Oktor. "Electrochemical treatment of Baker's yeast wastewater containing melanoidin: optimization through response surface methodology." Water Science and Technology 65, no. 12 (2012): 2183–90. http://dx.doi.org/10.2166/wst.2012.130.

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Effluents from Baker's yeast production plant contain a high percentage of color and a large amount of organic load. In the present study, Baker's yeast wastewater (BYW) is treated with the electrocoagulation (EC) process using Al electrodes. Operating parameters (pH, current density, color intensity and operating time) are optimized by response surface methodology (RSM). Quadratic models are developed for the responses which are removal efficiencies of color, chemical oxygen demand (COD) and total organic carbon (TOC) and operating cost (OC). Optimum operating parameters and responses are det

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Yu, Yang, Hai Jiao Yu, and Yin Ping Zhao. "Study on Optimization of Degradation of Landfill Leachate by Electrochemical Oxidation Process with Response Surface Methodology." Advanced Materials Research 989-994 (July 2014): 591–94. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.591.

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This experiment used the response surface methodology to optimize the treatment effect of electrochemical oxidation degradation of landfill leachate. The relationship between current intensity, aeration and pH value was studied by the response surface methodology. The analysis of quadratic polynomial regression and response surface was studied by Design expert7.0 software, and the model was optimized.

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Bashir, Adnan, Muhammad Ahmed Shehzad, Aamna Khan, et al. "Response Surface Models Using the Wavelet Technique for Reservoir Inflow Prediction." Mathematical Problems in Engineering 2022 (April 5, 2022): 1–10. http://dx.doi.org/10.1155/2022/5171969.

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Reliable streamflow prediction is vital to improving river operations, flood avoidance, water supply, and water resources management. Recently, response surface models have been launched in reservoir inflow prediction due to their potential to model composite nonlinear behaviour. Authors develop a hybrid model, wavelet quadratic response surface for reservoir inflow prediction in Chenab river basin, Pakistan. Wavelet transform has extensive applications in the field biomedical, engineering, and hydrology. Discrete wavelet transform technique discloses the structure of nonstationary signals. A

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16

Yin, Xiangrong, and Lynne Seymour. "Standard Errors for the Multiple Roots in Quadratic Response Surface Models." Technometrics 47, no. 3 (2005): 260–63. http://dx.doi.org/10.1198/004017005000000049.

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Seymour, Lynne, and Xiangrong Yin. "Estimating the Dimensionality of a Ridge in Quadratic Response Surface Models." Quality Technology & Quantitative Management 6, no. 3 (2009): 281–94. http://dx.doi.org/10.1080/16843703.2009.11673200.

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18

Pham, Tung-Dinh, Nam-Ky Nguyen, Cuong-Manh Tran, and Mai Phuong Vuong. "Constructing response surface designs with orthogonal quadratic effects using cyclic generators." Chemometrics and Intelligent Laboratory Systems 198 (March 2020): 103918. http://dx.doi.org/10.1016/j.chemolab.2019.103918.

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19

Zhao, Yan, Xiao Min Hu, Bin Hui Jiang, et al. "Optimization of Capacitive Deionization for Salt Removal from Water with Response Surface Methodology." Applied Mechanics and Materials 368-370 (August 2013): 257–60. http://dx.doi.org/10.4028/www.scientific.net/amm.368-370.257.

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A efficient treatment method capacitive deionization (also called electrosorption) against high salinity and ionic concentration in wastewater or groundwater was discussed. Response surface methodology was used to investigate the effect of electrodes potentials, distance between electrodes plates and flow rates on the desalination rate from water. A quadratic response surface model and optimum level values were obtained based on experimental data under box-behnken design (BBD) of software Design-Expert 8.0. The results showed that the maximum desalination rate was 59.05% on the optimal conditi

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Weglowski, Marek Stanisław. "Experimental Study and Response Surface Methodology for Investigation of FSP Process." Archive of Mechanical Engineering 61, no. 4 (2014): 539–52. http://dx.doi.org/10.2478/meceng-2014-0031.

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Abstract The article presents the effect of rotational and travelling speed and down force on the spindle torque acting on the tool in Friction Stir Processing (FSP) process. The response surface methodology (RSM) was applied to find a dependence combining the spindle torque acting on the tool with the rotational speed, travelling speed and the down force. The linear and quadratic models with interaction between parameters were used. A better fitting was achieved for a quadratic model. The studies have shown that the increase in rotational speed causes a decrease in the torque while the increa

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21

Kuldosheva, Firuza S. "Supercritical CO2 extraction of glycyrrhizic acid from licorice root: optimization of extraction conditions using RSM (response surface metodology)." Butlerov Communications 58, no. 6 (2019): 114–22. http://dx.doi.org/10.37952/roi-jbc-01/19-58-6-114.

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Extraction of HA from licorice roots was carried out by SC-CO2 with ethanol, as a solvent. Experiments and modeling were denoted by RSM. Licorice root extract was analyzed by chromatography and AAS. The RSM design was used to optimize the variables of the CCE and the GC output. The maximum yield of HA is observed under conditions of 10 MPa, 90.8 and 48.2 °C, 92 minutes and a flow of 1.70 and 1.50 ml/min of CO2 using RSM, respectively. According to RSM, R2 and the modified R2 model are 96.1% and 93.2%, respectively. The accuracy of the GC output model is confirmed by triplet experiments, giving

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22

Shuai Huang, Shuai Huang, Wen W. Jin Wen W Jin, Dan Huang Dan Huang, and Lin Chen and Jianwu Yu Lin Chen and Jianwu Yu. "Optimization of Bleaching Conditions in Refining Process of Camellia Oil with Response Surface Method." Journal of the chemical society of pakistan 47, no. 2 (2025): 147. https://doi.org/10.52568/001637/jcsp/47.02.2025.

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The objective of this study was to optimize bleaching conditions of camellia oil by minimizing the lovibond yellow color and maximizing the polyphenol content. The experiments of bleaching were conducted using RSM with Box-Behnken design for the camellia oil. RSM was used to investigate the effects of active clay amount (2-6 wt%), heating temperature (30-60 oC) and stirring speed (60-140 rpm) on lovibond yellow color and polyphenol content. An analysis of variance (ANOVA) revealed that active clay amount, heating temperature and stirring speed significantly effect on lovibond yellow color and

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23

Nguyen, Tuan Hung, Huynh Xuan Le, and Ha Phuong Do. "Fuzzy Finite Element Analysis for Static Responses of Plane Structures." Civil and Environmental Engineering 17, no. 2 (2021): 420–37. http://dx.doi.org/10.2478/cee-2021-0045.

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Abstract In this paper, a fuzzy finite element algorithm is investigated to determine static responses of plane structures. This algorithm concerns finite element method, fuzzy sets theory, and response surface method. Firstly, the notion of a standardized triangular fuzzy number is developed and utilized to replace original fuzzy numbers in the surrogate models. Then, the error estimations between the training and the test sets are performed to select the suitable response surface model amongst the regression models. Lastly, a good performance combination of complete and non-complete quadrati

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24

Lin, Yi-Chung, Jack Farr, Kevin Carter, and Benjamin J. Fregly. "Response Surface Optimization for Joint Contact Model Evaluation." Journal of Applied Biomechanics 22, no. 2 (2006): 120–30. http://dx.doi.org/10.1123/jab.22.2.120.

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When optimization is used to evaluate a joint contact model's ability to reproduce experimental measurements, the high computational cost of repeated contact analysis can be a limiting factor. This paper presents a computationally-efficient response surface optimization methodology to address this limitation. Quadratic response surfaces were fit to contact quantities (contact force, maximum pressure, average pressure, and contact area) predicted by a discrete element contact model of the tibiofemoral joint for various combinations of material modulus and relative bone pose (i.e., position and

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Morland, L. W. "The general viscous relation for the response of ice and its implications in the reduced model for ice-sheet flow." Journal of Glaciology 53, no. 182 (2007): 435–41. http://dx.doi.org/10.3189/002214307783258413.

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AbstractAnalyses of confined and unconfined compression combined with shear, and of biaxial stress laterally confined or unconfined, are presented for a general deviatoric viscous relation describing the response of an incompressible material. At present, numerical models for ice-sheet flow commonly adopt a very simple viscous law throughout the ice sheet, in which the deviatoric stress is coaxial with the strain rate, and the single response function depends on only one invariant, and is determined by single stress component tests which cannot verify the validity of the simplification. The an

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Liong, M. T., and N. P. Shah. "Optimization of Cholesterol Removal by Probiotics in the Presence of Prebiotics by Using a Response Surface Method." Applied and Environmental Microbiology 71, no. 4 (2005): 1745–53. http://dx.doi.org/10.1128/aem.71.4.1745-1753.2005.

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ABSTRACT Lactobacillus casei ASCC 292 was grown in the presence of six prebiotics, namely, sorbitol, mannitol, maltodextrin, high-amylose maize, fructooligosaccharide (FOS), and inulin, in order to determine the combination of probiotic and prebiotics that would remove the highest level of cholesterol. A first-order model showed that the combination of L. casei ASCC 292, FOS, and maltodextrin was the most efficient for the removal of cholesterol, and the optimum experimental region was developed by using the steepest ascent. This led to the middle points of probiotic (1.70% [wt/vol]), FOS (4.8

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KHAN, AKHTAR, and KALIPADA MAITY. "3D FINITE ELEMENT MODELING FOR ESTIMATING KEY MACHINABILITY ASPECTS IN TURNING OF COMMERCIALLY PURE TITANIUM." Surface Review and Letters 26, no. 01 (2019): 1850136. http://dx.doi.org/10.1142/s0218625x18501366.

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The present work aims at numerical approximation in combination with experimental validation of some of the important performance measures in turning of commercially pure titanium (CP-Ti) with uncoated carbide inserts. A three-dimensional (3D) finite element model was developed based on Lagrangian criterion. Simulation of the turning operation was performed using DEFORM 3D software in order to approximate the responses viz. feed force ([Formula: see text], radial force ([Formula: see text], tangential force ([Formula: see text], flank wear (Vb) and machining temperature ([Formula: see text]. U

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Ruiz, B. López, G. Frutos, P. Sanz Pedrero, and J. P. Martín. "Use of a quadratic response surface in the polarographic determination of lead." Analyst 118, no. 1 (1993): 59–63. http://dx.doi.org/10.1039/an9931800059.

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Mandal, Nripes Kumar, and Berthold Heiligers. "Minimax designs for estimating the optimum point in a quadratic response surface." Journal of Statistical Planning and Inference 31, no. 2 (1992): 235–44. http://dx.doi.org/10.1016/0378-3758(92)90032-n.

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Xuan, Hoa N., Jean‐Louis Coulomb, Laurent Gerbaud, Jean‐Christophe Crebier, and Nicolas Rouger. "Application of progressive quadratic response surface method for an oscillation problem optimization." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 31, no. 3 (2012): 842–57. http://dx.doi.org/10.1108/03321641211209744.

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Park, Kyoungwoo, and Seungjae Moon. "Optimal design of heat exchangers using the progressive quadratic response surface model." International Journal of Heat and Mass Transfer 48, no. 11 (2005): 2126–39. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2004.12.023.

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Huang, Liang-Tsung, and M. Michael Gromiha. "Analysis and prediction of protein folding rates using quadratic response surface models." Journal of Computational Chemistry 29, no. 10 (2008): 1675–83. http://dx.doi.org/10.1002/jcc.20925.

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Jaya, Abdul Syukor Mohamad, Siti Zaiton Mohd Hashim, Habibollah Haron, Muhd Razali Muhamad, Md Nizam Abd Rahman, and A. Samad Hasan Basari. "Predictive Modeling of TiN Coating Roughness." Advanced Materials Research 626 (December 2012): 219–23. http://dx.doi.org/10.4028/www.scientific.net/amr.626.219.

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In this paper, an approach in modeling surface roughness of Titanium Nitrite (TiN) coating using Response Surface Method (RSM) is implemented. The TiN coatings were formed using Physical Vapor Deposition (PVD) sputtering process. N2pressure, Argon pressure and turntable speed were selected as process variables. Coating surface roughness as an important coating characteristic was characterized using Atomic Force Microscopy (AFM) equipment. Analysis of variance (ANOVA) is used to determine the significant factors influencing resultant TiN coating roughness. Based on that, a quadratic polynomial

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Offurum, F.C., E.E. Oguzie, and J.C. Offurum. "Surface Response Methodology for Mild Steel Corrosion Control Using Udara Bark Extract as Inhibitor." Continental J. Engineering Sciences 12, no. 1 (2017): 20–29. https://doi.org/10.5281/zenodo.580792.

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<em>This study employed factorial design (Random) experiments to generate surface responses of three factors – Extract Concentration, Time and Inhibition Efficiency. This is aimed at evaluating the effect of the independent variables (Concentration and Time) on the response variable (Inhibition Efficiency). The use of Udara Bark Extract as inhibitor in the control of acid corrosion of mild steel was examined during the study. In the bid to realize the research objectives, the design matrix for the two variables was varied at two levels (high and low) in accordance with the Yates Analogy. Exper

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Chen, Zhi Gang. "Dynamic Response of Shallow Buried Tunnel Subjected to SH Wave." Advanced Materials Research 163-167 (December 2010): 4265–68. http://dx.doi.org/10.4028/www.scientific.net/amr.163-167.4265.

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The dynamic stress concentration on quadratic and U-shaped cavities in half space, which are similar to the cross-section of the tunnels, is solved in this paper impacted by SH-wave. The analytical solution for the cavity in elastic half space is gained by the complex function method. In the complex plane, the scattering wave which satisfies the zero-stress condition at the horizontal surface can be constructed, the problem can be inverted into a set of algebraic equations to solve coefficients of the constructed scattering wave by least square method. For the earthquake-resistance researches,

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Hu, Wenjie, and Oleksandr Shorinov. "Optimization of Technological Parameters for Cold Spraying Using the Response Surface Method." Journal of Engineering Sciences 11, no. 2 (2024): F1—F8. http://dx.doi.org/10.21272/jes.2024.11(2).f1.

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Cold spray technology can obtain coatings in a solid state, which is suitable for deposition protective and restorative coatings. Currently, most of the research in cold spraying is based on a single-factor analysis to explore the law. However, the interaction effect of multiple factors is more scientific. In this study, the response surface method (RSM) was used to optimize the technological parameters of cold spraying. A multi-factor and multi-level quadratic regression model was established for gas temperature, pressure, and particle diameter of outlet velocity, and the process parameters w

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Kamaraj, Raj, Jinu Gowthami Thankachi Raghuvaran, Arul Panimayam, and Haiter Allasi. "Performance and Exhaust Emission Optimization of a Dual Fuel Engine by Response Surface Methodology." Energies 11, no. 12 (2018): 3508. http://dx.doi.org/10.3390/en11123508.

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A central composite face-centered design (CCFD) was employed to examine the optimal conditions for the compression ratio of the Sardine Fish Oil Methyl Ester (SFOME) blend to the Thermal cracked Cashew Shell Nut Liquid T-CSNL blend by simultaneously considering the brake thermal efficiency (BTE), the brake specific fuel consumption (BSFC), carbon monoxide (CO), hydrocarbon (HC), and nitrogen oxide (NOx) emissions as response variables. The experimental results obtained were analyzed with the help of Design Expert software, and output response predictions were fitted with a polynomial quadratic

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Han, Mu Xin, Dong Mei Li, Yu Jie Feng, and Yu Fei Tan. "Process Optimization of Microwave Drying Sludge with Response Surface Methodology." Advanced Materials Research 396-398 (November 2011): 1269–72. http://dx.doi.org/10.4028/www.scientific.net/amr.396-398.1269.

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To enhance further treatment efficiency of the sludge, a process microwave drying of sludge was optimized using response surface methodology (RSM). A quadratic polynomial mathematical model was developed through Box-Behnken experimental design to describe the relationship between tested variables and moisture content of sludge. The experimental values were found to be in accordance with the predicted values, the correlation coefficient is 0.9203(P < 0.001). Estimated optimum parameters were as follows: The sludge: tree bark is 58:1, microwave power is 630w and processing time is 5.32 minute

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39

Eguasa, O., and A. I. Okungbowa. "Optimization and Simulation of Interactive Effects of a Generalized Quadratic Regression Model: A Comprehensive Analytical Framework and Application." advances in multidisciplinary & scientific research journal publication 13, no. 1 (2025): 53–68. https://doi.org/10.22624/aims/maths/v13n1p5.

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Understanding and quantifying interaction effects among multiple variables is critical in complex systems analysis. This paper presents a comprehensive analytical framework for the optimization and simulation of interactive effects as a second-order regression model using the Generalized Quadratic Regression (GQR) model. The GQR model extends traditional quadratic regression by incorporating interaction terms and non-linear components, making it particularly suitable for modeling multifactorial systems with synergistic or antagonistic interactions. In this work, we develop a systematic methodo

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Eguasa, O., and A. I. Okungbowa. "Optimization and Simulation of Interactive Effects of a Generalized Quadratic Regression Model: A Comprehensive Analytical Framework and Application." advances in multidisciplinary & scientific research journal publication 13, no. 1 (2025): 53–68. https://doi.org/10.22624/aims/maths/v13n1p4.

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Understanding and quantifying interaction effects among multiple variables is critical in complex systems analysis. This paper presents a comprehensive analytical framework for the optimization and simulation of interactive effects as a second-order regression model using the Generalized Quadratic Regression (GQR) model. The GQR model extends traditional quadratic regression by incorporating interaction terms and non-linear components, making it particularly suitable for modeling multifactorial systems with synergistic or antagonistic interactions. In this work, we develop a systematic methodo

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41

Chinchilli, Vernon M., Walter H. Carter, Timothy J. Breen, and Eleanor D. Campbell. "An asymptotic confidence interval for the response at the stationary point of a quadratic response surface." Journal of Biopharmaceutical Statistics 1, no. 2 (1991): 287–301. http://dx.doi.org/10.1080/10543409108835024.

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42

Jayathilakan, K., Rajkumar Ahirwar, Khudsia Sultana, and M. C. Pandey. "Development of compressed meat based bar using response surface methodology." Defence Life Science Journal 2, no. 2 (2017): 226. http://dx.doi.org/10.14429/dlsj.2.11367.

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<p>Studies were carried out to optimize the percentage of ingredients for the development of ready to eat mutton bar. Central composite rotatable design of response surface methodology (RSM) was used for designing the experimental combinations. Matrix for compression was designed by selecting factors like mutton powder, binders and applied pressure. Protein percentage, hardness and over all acceptability (OAA) were taken as responses. OAA and hardness showed highly significant and fitted with quadratic model whereas other response i.e. protein levels found to be significant and fitted wi

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Azhari, Ayu Wazira, Kamaruzzaman Sopian, Dewi Suriyani Che Halin, Abdul Haqi Ibrahim, and Saleem H. Zaidi. "Response Surface Methodology (RSM) in Fabrication of Nanostructured Silicon." Materials Science Forum 857 (May 2016): 151–55. http://dx.doi.org/10.4028/www.scientific.net/msf.857.151.

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In this paper, a respond surface methodology (RSM) model has been developed using three levels Box-Benkhen experimental design (BBD) technique to study the influence of several metal-assisted chemical etching (MACE) process variables on the properties of nanostructured silicon (Si) wafer. Five process variables are examined i.e. concentrations of silver (Ag), hydrofluoric acid (HF), deposition time, H2O2 concentration and etching time as a function of etching rate. Design-Expert® software (version 7.1) is used in formulating the RSM model of five factors with 46 experiments. A regression quadr

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Isaac Kipkosgei, Tum. "Construction of twenty-six points specific optimum second order rotatable designs in three dimensions with a practical example." International Journal of Advanced Statistics and Probability 8, no. 1 (2020): 1. http://dx.doi.org/10.14419/ijasp.v8i1.30122.

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This quadratic response surface methodology focuses on finding the levels of some (coded) predictor variables x = (x1u, x2u, x3u)' that optimize the expected value of a response variable yu from natural levels. The experiment starts from some best guess or “control” combination of the predictor variables (usually coded to x = 0 for this case x1u=30, x2u=25 and x3u =40) and experiment is performed varying them in a region around this center point.We go further to construct a specific optimum second order rotatable design of three factors in twenty-six points. The achievement of this is done wit

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Aris, Khadijah Mohamad, Suzana Ramli, Zulhafizal Othman, and Jurina Jaafar. "Evaluation of Ammonia-Nitrogen Removal by Ultrasonic Irradiation in Synthetic Solution Using Response Surface Methodology." Key Engineering Materials 797 (March 2019): 108–17. http://dx.doi.org/10.4028/www.scientific.net/kem.797.108.

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The objective of this study was to evaluate the ability of ultrasonic irradiation to remove ammonia-nitrogen in synthetic solution by considering the factors including initial concentration, pH and irradiation time. Ultrasonic bath was used to provide a constant effective power, frequency and temperature of 150 W, 37 kHz and 60°C, respectively during sonication. It was revealed that the removal efficiency of ammonia-nitrogen improved at lower concentration with basic water environment and extended irradiation time. Based on this judgement, optimization is carried out by using response surface

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Tuan, Nguyen Hung, Le Xuan Huynh, and Pham Hoang Anh. "A fuzzy finite element algorithm based on response surface method for free vibration analysis of structure." Vietnam Journal of Mechanics 37, no. 1 (2015): 17–27. http://dx.doi.org/10.15625/0866-7136/37/1/3923.

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This paper introduces an improved response surface-based fuzzy finite element analysis of structural dynamics. The free vibration of structure is established using superposition method, so that fuzzy displacement responses can be presented as functions of fuzzy mode shapes and fuzzy natural frequencies. Instead of direct determination of these fuzzy quantities by modal analysis which will involve the calculation of the whole finite element model, the paper proposes a felicitous approach to design the response surface as surrogate model for the problem. In the design of the surrogate model, com

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Milad, Abdalrhman Abrahim, Sayf A. Majeed, and Nur Izzi Md Yusoff. "Comparative Study of Utilising Neural Network and Response Surface Methodology for Flexible Pavement Maintenance Treatments." Civil Engineering Journal 6, no. 10 (2020): 1895–905. http://dx.doi.org/10.28991/cej-2020-03091590.

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The use of Artificial Intelligence (AI) for the prediction of flexible pavement maintenance that is caused by distressing on the surface layer is crucial in the effort to increase the service life span of pavements as well as reduce government expenses. This study aimed to predict flexible pavement maintenance in tropical regions by using an Artificial Neural Network (ANN) and the Response Surface Methodology (RSM) for predicting models for pavement maintenance in the tropical region. However, to predict the performance of the treatment techniques for flexible pavements, we used critical crite

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Xu, Jingshui, Haiying Yang, Chaoyi Zhang, and Chuyi Liu. "Optimised preparation and characterisation of lotus root starch oxidised with sodium hypochlorite (NaOCl) using response surface methodology." Czech Journal of Food Sciences 40, No. 1 (2022): 61–68. http://dx.doi.org/10.17221/22/2021-cjfs.

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In this paper, response surface methodology (RSM) was used to study the optimised process conditions of lotus root starches modified by treatment with sodium hypochlorite (NaOCl). Based on the Box-Behnken design, quadratic models were developed to correlate the reaction variables. Analysis of variance (ANOVA) revealed that the active chlorine content was the most significant variable for the response. Under the experimental conditions in this paper, the calculated carboxyl content (CN<sub>COOH</sub>) of obtained samples was approximately 0.98% ± 0.02% (n = 5). The spectra of Fourie

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Datta, S., A. Bandyapadhyay, and P. K. Pal. "Quadratic Response Surface Modeling for Prediction of Bead Geometry in Submerged Arc Welding." Indian Welding Journal 39, no. 1 (2006): 33. http://dx.doi.org/10.22486/iwj.v39i1.178945.

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Pérez, Victor M., John E. Renaud, and Layne T. Watson. "Reduced sampling for construction of quadratic response surface approximations using adaptive experimental design." Engineering Computations 25, no. 8 (2008): 764–82. http://dx.doi.org/10.1108/02644400810909607.

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PurposeTo reduce the computational complexity per step from O(n2) to O(n) for optimization based on quadratic surrogates, where n is the number of design variables.Design/methodology/approachApplying nonlinear optimization strategies directly to complex multidisciplinary systems can be prohibitively expensive when the complexity of the simulation codes is large. Increasingly, response surface approximations (RSAs), and specifically quadratic approximations, are being integrated with nonlinear optimizers in order to reduce the CPU time required for the optimization of complex multidisciplinary

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