Comparing DEA and principal component analysis in the multiobjective optimization of P-GMAW process

Rocha, Luiz Célio Souza; Paiva, Anderson Paulo de; Paiva, Emerson José de; Balestrassi, Pedro Paulo

doi:10.1007/s40430-015-0355-z

Cited by 20 publications

(11 citation statements)

References 21 publications

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“…Based on these results, the GPE and the Entropy (Step 6) were calculated and the results are shown in Table 5. The GPE is calculated, as shown by [30], through expression…”

Section: Implementation Of the Proposed Methodsmentioning

confidence: 99%

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Entropy-Based Weighting for Multiobjective Optimization: An Application on Vertical Turning

Rocha

Paiva

Balestrassi

et al. 2015

Mathematical Problems in Engineering

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In practical situations, solving a given problem usually calls for the systematic and simultaneous analysis of more than one objective function. Hence, a worthwhile research question may be posed thus: In multiobjective optimization, what can facilitate for the decision maker choosing the best weighting? Thus, this study attempts to propose a method that can identify the optimal weights involved in a multiobjective formulation. The proposed method uses functions of Entropy and Global Percentage Error as selection criteria of optimal weights. To demonstrate its applicability, this method was employed to optimize the machining process for vertical turning, maximizing the productivity and the life of cutting tool, and minimizing the cost, using as the decision variables feed rate and rotation of the cutting tool. The proposed optimization goals were achieved with feed rate = 0.37 mm/rev and rotation = 250 rpm. Thus, the main contributions of this study are the proposal of a structured method, differentiated in relation to the techniques found in the literature, of identifying optimal weights for multiobjective problems and the possibility of viewing the optimal result on the Pareto frontier of the problem. This viewing possibility is very relevant information for the more efficient management of processes.

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“…Based on these results, the GPE and the Entropy (Step 6) were calculated and the results are shown in Table 5. The GPE is calculated, as shown by [30], through expression…”

Section: Implementation Of the Proposed Methodsmentioning

confidence: 99%

“…In answering such a query, it was proposed to use two objectively defined selection criteria: Shannon's Entropy Index [29] and Global Percentage Error (GPE) [30]. Entropy can be defined as a measure of probabilistic uncertainty.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Entropy-Based Weighting for Multiobjective Optimization: An Application on Vertical Turning

Rocha

Paiva

Balestrassi

et al. 2015

Mathematical Problems in Engineering

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“…As a testing procedure, the p-values for each pair have been re-adjusted. It is then become possible to interpret the effect of levels on the response of significant parameters [30]. In Fig.…”

Section: Anova Analysismentioning

confidence: 99%

Enhancing the tensile properties with minimal mass variation by revealing the effects of parameters in fused filament fabrication process

Korkut

Yavuz

2020

J Braz. Soc. Mech. Sci. Eng.

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The Fused Filament Fabrication is a revolutionary method for the manufacturing industry. However, there are still numerous challenges need to be tackled in order to standardize the procedure of printing process. In this study, the process parameters of line width, shell thickness, infill orientation and infill overlap, have been experimentally investigated over their affect on tensile strength properties and the mass of the produced samples. Design of experiments has been planned, conducted and evaluated using the Taguchi approach. A total of 25 combinations of the four printing parameters with five different settings have been set according to the L 25 Orthogonal Array table. The sample parts have been printed via widely used type lowcost and open-source 3D printer. Afterwards, the printed samples are tested for their tensile strength. The best combinations of the parameters with relevant settings have been revealed by S/N Ratio analysis. In order to validate the statistical results, the sample with newly found combination has been manufactured. Then, the ANOVA has been applied in order to reveal the percentage contributions of parameters to the tensile behaviour. It has been concluded that infill overlap and orientation parameters are dominant factors over the ultimate tensile strength of the samples. As a widespread effect, generalized equations have been established and presented in order to calculate the occupied area by an overlap. By implementing the equations, the users will be able to configure their input parameters in behalf of increasing the tensile strength while controlling the material consumption.

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“…Combination of ANN and fuzzy logic has been used by Cruz et al [12] to find out the significant parameters affecting the weld bead width for gas metal arc welded (GMAW) AISI 1020. Rocha et al [13] compared the performance of two multi-objective optimization techniques, i.e., data envelopment analysis (DEA) and principal component analysis (PCA), to find welding parameters that could generate a weld bead geometry of desired quality. Similarly, Adalarasan and Sundaram [14] and Palanivel et al [15] used PCA and ANN, respectively, to optimize the process parameters for friction-stir-welded Al-based alloys.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, the present study emphasizes finding the laser-beam welding parameters that would result in minimization of weld bead cross-sectional geometry of 2.7mm-thick Hastelloy C-276 sheet by bead-on-plate welding experiment. All the above-mentioned multi-objective optimization techniques [11][12][13][14][15][16][17][18] have certain level of accuracy of prediction; hence, a new method of optimization has been proposed in the present study.…”

Section: Introductionmentioning

confidence: 99%

Minimization of bead geometry by optimization of regression equations for laser-beam bead-on-plate welded Hastelloy C-276 sheet

Bal

Majumdar

Choudhury

2018

J Braz. Soc. Mech. Sci. Eng.

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The present study is aimed at selection of laser beam welding parameters that would produce through-penetrated weld zone with minimum cross-sectional area in 2.7-mm-thick Hastelloy C-276 sheet. Weld zone area was found to be comprised of geometrical features such as total throat, crown width, root width, neck width. A new, fast and relatively simple method of optimization has been proposed in the present study. Regression equation for each geometrical feature was generated from the full factorial experimental design data. Optimization of welding parameters to minimize weld zone area was carried out by solving regression equations using experimentally obtained values of geometrical features as the boundary condition. Once the optimized value of parametric combination was obtained, experiment was conducted to confirm the minimization of weld bead cross-sectional geometry.

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Comparing DEA and principal component analysis in the multiobjective optimization of P-GMAW process

Cited by 20 publications

References 21 publications

Entropy-Based Weighting for Multiobjective Optimization: An Application on Vertical Turning

Entropy-Based Weighting for Multiobjective Optimization: An Application on Vertical Turning

Enhancing the tensile properties with minimal mass variation by revealing the effects of parameters in fused filament fabrication process

Minimization of bead geometry by optimization of regression equations for laser-beam bead-on-plate welded Hastelloy C-276 sheet

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