Optimal Partially Replicated Cube, Star and Center Runs in Face-centered Central Composite Designs

Iwundu, M. P.

doi:10.5539/ijsp.v4n4p1

Cited by 10 publications

(5 citation statements)

References 11 publications

(12 reference statements)

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“…If the p-value is less than 0.05, the factors affects the response significantly; if the p-value is higher than 0.05, the factor has no significant impact on the response. 15,16 The effects of each factor on gain strength, loss elongation, and stretch are explained very well in the following sections.…”

Section: Resultsmentioning

confidence: 98%

Multiple response optimization of sizing machine settings and sized yarn tensile properties using advanced method of experimental design

Abay

Ayele

2023

Journal of Engineered Fibers and Fabrics

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On a loom, the warp yarns experience exceptionally high mechanical stresses and strains, as well as significant abrasion from friction. As a result, significant yarn breakages cause loom stoppages and, hence, production and quality interruptions. To mitigate this problem, the warp yarns should be treated with a thin, strong film of an appropriate adhesive. The aim of this study is therefore, to investigate the effect of sizing machine parameters on tensile properties of the yarn and to optimize the sized yarn tensile properties. Design expert 11 software with Box-Behnken design has been employed to design the research, analyze the results of experiments, and optimize the responses. In this research, three factors, each at three levels (wet zone yarn tension (A) (340, 380, and 420 N), squeezing roller pressure (B) (13, 15, and 17 N), and sizing machine speed (C) (30, 49, and 68 m/min), as well as three response variables (gain strength, loss elongation, and stretch), are considered. 15 samples of sized yarn have been produced with various combinations of the given factors, and the values of the response variables are measured for each sample. It has been observed that wet zone yarn tension and squeezing roller pressure have a significant effect on gain strength, stretch, and loss elongation. According to the regression analysis, gain strength has a negative relationship with wet zone yarn tension and a positive relationship with squeezing roller pressure. In the other case, both wet-zone yarn tension and squeezing roller pressure have a positive and significant effect on loss elongation and yarn stretch. At 340 N wet zone yarn tension, 13 N squeezing roller pressure, and 51 m/min sizing machine speed, the optimum values of gain strength (32.7 cN/tex), loss elongation (18.5%), and stretch (1.4%) were obtained. The methodologies employed in this study revealed the empirical relationship between the factors and the responses, the interaction effects of the factors on the responses, and multiple response optimizations. The optimized result of this study can be applied to the warp yarn sizing and can improve the tensile properties of the yarn and the loom’s efficiency significantly.

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Section: Resultsmentioning

confidence: 98%

Multiple response optimization of sizing machine settings and sized yarn tensile properties using advanced method of experimental design

Abay

Ayele

2023

Journal of Engineered Fibers and Fabrics

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“…The efficiency values was obtained and the results suggest that replicated cubes plus replicated star points is better than partial replication of cube and star points under the design restrictions of rot at ability and orthogonality. Iwundu (2015), also examined the optimal partially replicated cube, star and center runs in Face centered central composite designs. The cube points was replicated while the star points and center point were fixed or not replicated, the star points was replicated while the cube points and star points were fixed and not replicated and the center points was replicated while the cube points and the star points were fixed or not replicated.…”

Section: mentioning

confidence: 99%

Some Optimality Variations of Central Composite Designs

Ngonadi¹,

Eze²

2019

AJAMS

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Some variations of central composite designs (CCD) under complete and partial replications of cube, axial and center points are studied using A, D and G optimality criteria. The results obtained suggest that complete replication of the cube, axial and center points are better than the partial replication of cube, axial and center points under the A and D optimality criteria studied while it varies under G optimality criterion. The partial replication of the cube, axial and center point for all the CCDs studied, the partial replicated cube point is D optimal but varies under A and G optimality criteria.

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“…The Central Composite Designs have been extensively studied and there exist vast literature on the subject. For reference purpose, see [14,15,16] and [17].…”

Section: Introductionmentioning

confidence: 99%

On Evaluation of Three Basic Properties of Central Composite Design

Ugbe,

Akpan,

Ofonodo

et al. 2023

AJPAS

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This work aims at making a choice of selecting the best property of central composite design (CCD). The three basic properties of CCD are rotatable, orthogonal and slope-rotatable with four optimality criteria; D, E, A and T. A complete 23 factorial experiment with increase in center points and non-replication of axial point was used for the entire work. The software applications used to run the analysis are Minitab and Excel. Minitab was used to create CCD with the respective center points and axial distances to fit the quadratic response polynomial. Excel was used to evaluate all the optimality criteria with respect to the properties of CCD and the efficiency of these criteria. Response surface graph was plotted to interpret how good the design is with the factors interaction. The result shows that A – optimality criterion is the best optimality criterion with respect to rotatable central composite design (RCCD), orthogonal central composite design (OCCD) and slope – rotatable central composite design (SRCCD) because of the increase in efficiency as the center point increases. Rotatable central composite design (RCCD) is considered in this context as the best property of central composite design in response surface methodology by comparing the increase in efficiency of the four optimality criteria as the center point increases.

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Optimal Partially Replicated Cube, Star and Center Runs in Face-centered Central Composite Designs

Cited by 10 publications

References 11 publications

Multiple response optimization of sizing machine settings and sized yarn tensile properties using advanced method of experimental design

Multiple response optimization of sizing machine settings and sized yarn tensile properties using advanced method of experimental design

Some Optimality Variations of Central Composite Designs

On Evaluation of Three Basic Properties of Central Composite Design

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