Optimal robust and tolerance design for computer experiments with mixture proportion inputs

Han, Mei; Tan, Matthias Hwai Yong

doi:10.1002/qre.2188

Cited by 10 publications

(7 citation statements)

References 24 publications

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“…Park et al [18] considered the impact of noise factors and solved the parameter and tolerance parallel design problem of a rechargeable battery using a mixed experimental design approach. Han and Tan [19], [20] proposed computeraided parameter and tolerance design approaches for computer experiments, in which the means and tolerances of input characteristics are simultaneously optimized to minimize the total cost. The mentioned literature solved the design problems in off-line quality control but did not consider the indices of on-line quality control.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Therefore, it is necessary to implement parameter design and tolerance design simultaneously. The related literature can be consulted [13]- [20], but previous research only solves the design problems of off-line quality control stage and does not consider the indices of the on-line quality control stage. Therefore, it is worthwhile to introduce the indices of on-line quality control into parameter and tolerance design.…”

Section: Introductionmentioning

confidence: 99%

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Parameter and Tolerance Economic Design for Multivariate Quality Characteristics Based on the Modified Process Capability Index With Individual Observations

Gu¹,

Tong²,

Han³

et al. 2019

IEEE Access

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The process capability index (PCI) is widely used in an on-line quality control stage for measuring and controlling the quality level of a production process. The calculation of PCI requires a large number of samples, but in the off-line quality control stage, a certain production process in off-line quality control stage only has a few individual observations. From the perspective of quality loss and tolerance cost, this paper proposes a parameter and tolerance economic design approach for multivariate quality characteristics based on the modified PCI with individual observations. The response surface models of mean and variance are constructed using individual observations, and exponential models are fitted according to the tolerance cost data of design variables. A modified PCI is proposed with the consideration of three types of quality characteristics. The optimal design variables and tolerances are obtained by a comprehensive optimization model that is constructed based on the proposed PCI. An example of an isobutylene-isoprene rubber (IIR) inner tube is used to (i) demonstrate the implementation of our proposed approach, (ii) improve the PCI value and reflect the sensitivity of the deviation between process mean and specification, and (iii) reduce the risk of increasing cost of quality caused by replicated experimental design and some other unknown reasons.INDEX TERMS Parameter, tolerance, economic design, multivariate quality characteristics, process capability index, individual observations.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parameter and Tolerance Economic Design for Multivariate Quality Characteristics Based on the Modified Process Capability Index With Individual Observations

Gu¹,

Tong²,

Han³

et al. 2019

IEEE Access

View full text Add to dashboard Cite

show abstract

“…To capture these uncertainties, we multiply Equations (17) and (19) by k and assign a probability distribution to k. The quality cost is only included when customers use products.…”

Section: Quality Loss Integrating With Tolerances Based On Dispersimentioning

confidence: 99%

“…Since the cost matrix C can be written by C = K∑ −1 in the expectation and the variance of quadratic loss function, there exist some uncertainties in both the expectation and the variance of quadratic loss function. To capture these uncertainties, we multiply Equations (17) and (19) by k and assign a probability distribution to k.…”

Section: Quality Loss Integrating With Tolerances Based On Dispersimentioning

confidence: 99%

“…To design parameter and tolerance simultaneously, Li and Wu, 3 Kim and Cho, 4 Shin et al, 15 Jeang, 16,17 and Han and Tan 18,19 proposed an approach to integrate parameter design and tolerance design into a single stage of design optimization based on the location and the dispersion of a response, but they are limited to a single quality characteristic only. In most industrial situations, a common problem in product or process design is how to optimize the multiple responses simultaneously.…”

mentioning

confidence: 99%

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Integrated multiresponse parameter and tolerance design with model parameter uncertainty

Han

Ouyang

et al. 2019

Quality & Reliability Eng

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Integrated parameter and tolerance design is a cost-effective method to multiresponse quality improvement. However, previous methods usually ignore model parameter uncertainty, dispersion effect, or correlation among responses. This may lead to the obtained optimal solutions far from the true optimal values of parameters and tolerances. To address the problem, a novel integrated parameter and tolerance design method is proposed to solve correlated multiple response problems under consideration of model parameter uncertainty, the location and dispersion effects of the quality loss, and the tolerance costs simultaneously. As there usually exists uncertainty in the quality loss and tolerance costs, multiobjective optimization is adopted to seek for the robust optimal solutions. The effectiveness and robustness of the proposed method are illustrated with a practical example and a random simulation example. The results show that the proposed method provides more reasonable results in quality improvement and cost reduction than those of the existing methods. KEYWORDSlocation and dispersion effects, model parameter uncertainty, multiresponse, quality loss, tolerance design | INTRODUCTIONIn today's economy, improving quality and reducing cost are essential for the business enterprise to survive. However, this cannot be achieved without effective quality or process design. An efficient and cost-effective engineering approach of product or process design is advocated by Taguchi, 1 which includes system design, parameter design, and tolerance design. Parameter design is used to reduce variation in quality characteristic first, followed by tolerance design if the variability could not be satisfactorily. For more details on robust parameter design, please see Myers et al. 2 The design factors that are allowed to vary within certain tolerance ranges due to the manufacturing error, and the design factor is supposed to follow a normal distribution in tolerance design. Conventionally, Taguchi's product design approach is known as a sequential method in which the tolerance design is performed after parameter design. Li and Wu 3 and Kim and Cho 4 argued that the sequential design method may obtain a suboptimal solution, and they proposed an integrated parameter and tolerance design (IPTD) approach to optimal parameter and tolerance design simultaneously. The advantage of IPTD is that it can reduce time-to-market, improve quality, and reduce costs by considering manufacturing processes in the early stage of product design.

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Experimental tolerance design of robot manipulators accounting for positioning accuracy reliability

Huang

et al. 2022

Quality & Reliability Eng

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A new tolerance design method based on experimental design and positioning accuracy reliability is presented to deal with uncertainties of robot manipulators resulting from manufacturing and assembly processes. Initially, the performance function of positioning accuracy is established according to the kinematic model and response surface technique. An analytical algorithm for positioning accuracy reliability calculation is developed based on eigen-decomposition and saddlepoint approximation methodologies. Inner orthogonal arrays of kinematic parameter tolerances along with the outer uniform arrays of joint variables are then constructed to analyze significant tolerances that affect the positioning accuracy reliability within the entire workspace. Finally, the applicability and performance of the proposed method are verified by case studies of a two-link planar manipulator and a six-degree-of-freedom robot manipulator. The results confirmed that the proposed method can efficiently and accurately analyze the positioning accuracy reliability, and the method recognizes the impact of kinematic parameters on the motion performance which is able to guide the tolerance range selection of robot manipulators.

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Optimal robust and tolerance design for computer experiments with mixture proportion inputs

Cited by 10 publications

References 24 publications

Parameter and Tolerance Economic Design for Multivariate Quality Characteristics Based on the Modified Process Capability Index With Individual Observations

Parameter and Tolerance Economic Design for Multivariate Quality Characteristics Based on the Modified Process Capability Index With Individual Observations

Integrated multiresponse parameter and tolerance design with model parameter uncertainty

Experimental tolerance design of robot manipulators accounting for positioning accuracy reliability

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