Optimal Blocked and Split-Plot Designs Ensuring Precise Pure-Error Estimation of the Variance Components

Mylona, Kalliopi; Gilmour, Steven G.; Goos, Peter

doi:10.1080/00401706.2019.1595153

Cited by 9 publications

(3 citation statements)

References 26 publications

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“…Nevertheless, notice that no design can provide in one shot what is expected to be done through a sequential (screening-characterization-optimization) experimentation approach. For further guidelines and discussion on experimental design selection at various experimental stages in the response surface methodology framework, namely, when constraints exist, the reader is also referred to [39,[48][49][50][51][52][53][54][55]. To deal with multiobjective when constructing a design, the reader is referred to Lu et al [56].…”

Section: Doe-experimental Design Selection and Results Analysis Methodsmentioning

confidence: 99%

Energy-Efficiency Assessment and Improvement—Experiments and Analysis Methods

Costa

Fontes

2020

Sustainability

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Some (non)manufacturing industries are becoming more energy efficient, but many of them are losing cost-effective energy-savings opportunities, namely, by lack of knowledge or underestimation of good engineering and management practices as well as guidance on techniques or tools for that purpose. This study points out that Design of Experiments is a tool that cannot be ignored by managers and other technical staff, namely, by those who have the responsibility to eliminate energy waste and promote energy-efficiency improvement in industry, mainly in energy-intensive manufacturing industries. A review on Design of Experiments for physical and simulation experiments, supported on carefully selected references, is provided, since process and product improvement at the design and manufacturing stages increasingly rely on virtual tests and digital simulations. However, the expense of running experiments in complex computer models is still a relevant issue, despite advances in computer hardware and software capabilities. Here, experiments were statistically designed, and several easy-to-implement yet effective data analysis methods were employed for identifying the variables that must be measured with more accurate devices and methods to better estimate the energy efficiency or improve it in a billets reheating furnace. A simulation model of this type of furnace was used to run the experiments and the results analysis shows that variables with practical effect on the furnace’s energy efficiency are the percentage of oxygen in the combustion gases, the fuel flow in the burners, and the combustion air temperature.

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Section: Doe-experimental Design Selection and Results Analysis Methodsmentioning

confidence: 99%

Energy-Efficiency Assessment and Improvement—Experiments and Analysis Methods

Costa

Fontes

2020

Sustainability

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“…A CCD was used in this study to generate the 21 experimental conditions in Table 3 that were used to investigate the effect of the four factors on castor oil methyl ester. Four centre points were used to approximate the proposed model's lack of fit and pure error [20]. Multiple regressions were used to fit the coefficient of the quadratic polynomial regression response model.…”

Section: Response Surface Optimization Of Transesterificationmentioning

confidence: 99%

Experimental Optimization of Castor Oil Transesterification by Central Composite Design for Biodiesel Production

Sukpancharoen

Phetyim

Krittasin³

et al. 2022

Advances in Energy Research and Development

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Thailand is an agriculture-based country with the potential to cultivate a vast array of plant species, including castor. Castor oil is produced by pressing castor seeds. Castor oil was selected as the preferred vegetable oil for biodiesel production. Castor oil is primarily composed of ricinoleic acid, a hydroxyl fatty acid. Response surface methodology was used in this study to optimize the biodiesel production process parameters. This study varies the molar ratio of methanol to oil, the concentration of the catalyst, the reaction temperature, and the reaction time. As a catalyst, potassium hydroxide was used in the transesterification process. In this study, response surface methodology is utilized in conjunction with central composite design (CCD) experiment design. Therefore, the optimal yield of castor oil transesterification is 4.02 methanol to 1 oil, a catalyst concentration of 0.90%, a reaction temperature of 49.87 ∘C, and a reaction time of 59.21 minutes. These optimal conditions resulted in a %fatty acid methyl ester (FAME) yield of castor oil biodiesel of 88.25 %, which is within 5% of the predicted %FAME yield. Transesterification under optimal conditions demonstrates that the physiochemical properties of castor oil biodiesel are enhanced. The viscosity of castor oil is approximately 235 cSt at 40 ∘C. After transesterification, the viscosity of castor oil decreases to 15.2 cSt at 40 ∘C under optimal conditions. The density and flash point of castor oil biodiesel is 0.92 g/cm3 and 196 ∘C, respectively. It discovers that the flash point of castor-oil biodiesel complies with the American Society for Testing and Materials (ASTM) standard, whereas its viscosity and density do not. However, castor oil biodiesel can be blended with diesel petroleum to reduce its viscosity and meet ASTM specifications.

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“…At present, the con-struction of experimental designs for constrained space mainly depends on the local search for candidate-set [2−6], which is difficult to be implemented in highly constrained space. In 1995, Meyer proposed the coordinateexchange algorithm [7], which is different from the traditional local search algorithms. Since it does not use candidate-set, the solution space to be explored is not restricted, and it is suitable for convex constraints, so it has been widely used in the field of experimental design [8−12].…”

Section: Introductionmentioning

confidence: 99%

An iterated local coordinate-exchange algorithm for constructing experimental designs for multi-dimensional constrained spaces

You

Jin

Pan

et al. 2021

J. of Syst. Eng. Electron.

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Iterated local search (ILS) is used to construct the optimal experimental designs for multi-dimensional constrained spaces, in which the inner loop is based on the stochastic coordinate-exchange (SCE) algorithm. Every time a local optimal solution is found by the SCE algorithm, the perturbation operator is applied to it, and then a new solution is explored in the areas where the exchange of coordinates may produce improvement, so as to retain the features and attributes of the current optimal solution and avoid the defects of random restart. We implement the iterated local coordinate-exchange algorithm for experimental designs in the multi-dimensional constrained spaces. In addition, sensitivity analysis was conducted to analyze the impacts of the parameters on the performance of the proposed algorithm. Also we compared the performance of the proposed algorithm to the SCE algorithm using the random restart strategy. The analysis shows that the proposed algorithm is better than the SCE algorithm in terms of efficiency and quality, especially in the experimental designs for high-dimensional constrained space.

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Optimal Blocked and Split-Plot Designs Ensuring Precise Pure-Error Estimation of the Variance Components

Abstract: Optimal blocked and split-plot designs ensuring precise pureerror estimation of the variance components. TECHNOMETRICS.

Cited by 9 publications

References 26 publications

Energy-Efficiency Assessment and Improvement—Experiments and Analysis Methods

Energy-Efficiency Assessment and Improvement—Experiments and Analysis Methods

Experimental Optimization of Castor Oil Transesterification by Central Composite Design for Biodiesel Production

An iterated local coordinate-exchange algorithm for constructing experimental designs for multi-dimensional constrained spaces

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