• Title/Summary/Keyword: Taguchi's Quality Loss Function

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An Analytical Approach to Derive the Quality Loss Function with Multi-characteristics by Taguchi's Quality Loss Concept (다구찌 품질손실개념에 의한 다특성치 품질손실함수 도출의 분석적 접근방법)

  • Pai, Hoo Seok;Lim, Chae Kwan
    • Journal of Korean Society for Quality Management
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    • v.48 no.4
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    • pp.535-552
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    • 2020
  • Purpose: The main theme of this study is to derive a specific quality loss function with multiple characteristics according to the same analytical structure as the single characteristic quality loss function of Taguchi. In other words, it presents an analytical framework for measuring quality costs that can be controlled in practice. Methods: This study followed the analytical methodology through geometric, linear algebraic, and statistical approaches Results: The function suggested by this study is as follows; $$L(x_1,x_2,{\cdots},x_t)={\sum\limits_{i=1}^{t}}k_i\{x_i+{\sum\limits_{j=1}^{t}}\({\rho}_{ij}{\frac{d_i}{d_j}}\)x_j\}x_i$$ Conclusion: This paper derived the quality loss function with multiple quality characteristics to expand the usefulness of the Taguchi quality loss function. The function derived in this paper would be more meaningful to estimate quality costs under the practical situation and general structure with multiple quality characteristics than the function by linear algebraic approach in response surface analysis.

A Study on the Determination of optimum producer's Tolerance by Continuous Loss Function of Taguchi (다구찌 손실함수(損失函數)를 이용한 최적생산자(最適生産者) 허용차결정(許容差決定)에 관한 연구)

  • Sin, Yong-Baek;Yun, Sang-Won
    • Journal of Korean Society for Quality Management
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    • v.21 no.2
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    • pp.61-70
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    • 1993
  • The concept of producer's tolerance, in contrast to the consumer's tolerance, is a natural consequence of continuous loss functions. It is based on the premise that any unit product whose quality characteristic deviated from its traget value inflicts a loss, and that this less is a continuous monotonically increasing function of the magnitude of deviation. This concept of the emphasis on loss function to improve quality of products on the side of customer is introduced by Taguchi. This paper considers the problem of determining the optimum producer's tolerance by continous loss fuction of Taguchi and proposes a probablistic model for the problem. The difference between the proposed probablistic approach and the approach taken in Taguchi is also pointed out.

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Optimization of Process Capability Index by Loss Function of Taguchi (다구찌의 손실함수(損失函數)를 이용한 공정능력지수(工程能力指數)의 최적화(最適化)에 관한 연구(硏究))

  • Gu, Bon-Cheol;Song, Dan-Il
    • Journal of Korean Society for Quality Management
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    • v.20 no.1
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    • pp.80-90
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    • 1992
  • In industries, the capability indices $C_p$ and $C_{pk}$ can be used to provide measures of process potential capability and performance, respectively. The new approach advocated by Taguchi in quality control overcomes some problems in other approaches preventive management activities. Taguchi introduces the emphasis on loss function to improve quality of products on the side of customer. The proceeding concept of capability indices is not rational for the measurement of quality if the process mean is not equal to target value. The Taguchi approach is said to be more reasonable than the others in quality evaluation because of his loss function. However, the capability indices $C_{pm}{^+}$ and $C_{pn}$ using Taguchi's loss function only consider, acceptance cost for deviation from target value within specification limits. In other words, they do not include rejection cost for nonconformings that are failed to fall on the specification limits.

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Economic Tolerance Design of Quality Characteristics by the TAGUCHI's Loss Function (다구찌의 손실함수를 이용한 특성치의 경제적 허용차 설계)

  • 최문일;강창욱;황의철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.24
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    • pp.133-139
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    • 1991
  • If the specifications of product. in general. art determined too wide. the precision of product becomes diminished. Otherwise it costs dearly to keep the precision. Therefore, It is realistic to consider various factors in determining specification of qualify characteristics TAGUCH Idefines quality of an object as "Quality is the loss that a product causes to society after being shipped. other than any losses caused by its intrinsic function". Particularly, to improve the performances of product TAGUCHI focuses his attention on the product design and process design which enable the functional characteristics of product to he robust to noises. In this paper, by the TAGUCHI's loss function, the characteristics which affect the variation of a product performance are classified into the scrappable characteristics and the reworkable characteristics when the target values of functional characteristics have been determined. And we will determine the tolerance of each characteristic which minimize the quality cost by the cost function which considers the economic factors and probability features of each characteristic.cteristic.

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Decision of Producer's Specification Limits Considering Types of Loss Function (손실함수의 형태를 고려한 생산자 규격한계의 결정)

  • Kim, Dong-Hyuk;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.3
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    • pp.145-153
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    • 2018
  • Taguchi regarded the concept of quality as 'total loss to society due to fluctuations in quality characteristics from the time of supplied to the customer.' The loss function is a representative tool that can quantitatively convert the loss that occurs due to the deviation of the quality characteristic value from the target value. This has been utilized in various studies with the advantage that it can change the social loss caused by fluctuation of quality characteristics to economic cost. The loss function has also been used extensively in the study of producer specification limits. However, in previous studies, only the second order loss function of Taguchi is used. Therefore, various types of losses that can occur in the process can't be considered. In this study, we divide the types of losses that can occur in the process considering the first and second loss functions and the Spiring's reflected normal loss function, and perform total inspection before delivering the customer to determine the optimal producer specification limit that minimizes the total cost. Also, we will divide the quality policy for the products beyond the specification limits into two. In addition, we will show the illustration of expected loss cost change of each model according to the change of major condition such as customer specifications and maximum loss cost.

Simultaneous Optimization of Multiple Quality Characteristics in Laser Beam Cutting Using Taguchi Method

  • Dubey, Avanish Kumar;Yadava, Vinod
    • International Journal of Precision Engineering and Manufacturing
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    • v.8 no.4
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    • pp.10-15
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    • 2007
  • Taguchi methods have been used for a long time to improve the product quality and process performance of a manufacturing system, Few researchers have applied this methodology in laser beam cutting (LBC) of sheet metals and found the considerable improvement in cut qualities. In all experimental investigations of LBC so far, the objective was to optimize the single quality characteristic at a time. In this paper the simultaneous optimization of multiple quality characteristics such as Kerf width and material removal rate (MRR) during pulsed Nd:YAG LBC of thin sheet of magnetic material (high Silicon-steel) has been presented using Taguchi's quality loss function. The results show the considerable improvement in multiple S/N ratio as compared to initial cutting condition. Also, the comparison of results from single and multi-objective optimization have been presented and it was found that the loss in quality is always possible shifting from single quality to multiple quality optimization.

A Methodology on Measuring Service Quality of Internet Shopping Mall using Taguchi Method (다구찌 방법을 적용한 인터넷 쇼핑몰의 서비스 품질 측정 방법론)

  • Seo Kwang-Kyu;Ahn Beum-Jun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.27 no.3
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    • pp.45-51
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    • 2004
  • Recently, the severe competition in the internet shopping mall has forced firms to increase the customer satisfaction and to enhance service quality Despite the internet shopping mall's fast and superficial growth and extraordinary potential, study on (actors affecting service quality based on its characteristics is meager. Most researchers have studied on the service quality related with the internal shopping mall by just applying measurement items in internet environment. This paper tries to analyze whether the internet shopping mall can be reorganized by introducing factors of service quality specifically with reference to the internet showing mall. In addition, this study focuses on developing the method to measure the service quality more effectively. For this purpose, this study applies the Taguchi Method using quality loss function (QLF) which can be used to measure quality quantitatively. The proposed method provides the measurement of the internet shopping mall's service quality and offers to the practitioner a measurement tools suitable for service industry.

Determination of Control Limits of Conditional Variance Investigation: Application of Taguchi's Quality Loss Concept (조건부 차이조사의 관리한계 결정: 다구찌 품질손실 개념의 응용)

  • Pai, Hoo Seok;Lim, Chae Kwan
    • Journal of Korean Society for Quality Management
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    • v.49 no.4
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    • pp.467-482
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    • 2021
  • Purpose: The main theme of this study is to determine the optimal control limit of conditional variance investigation by mathematical approach. According to the determination approach of control limit presented in this study, it is possible with only one parameter to calculate the control limit necessary for budgeting control system or standard costing system, in which the limit could not be set in advance, that's why it has the advantage of high practical application. Methods: This study followed the analytical methodology in terms of the decision model of information economics, Bayesian probability theory and Taguchi's quality loss function concept. Results: The function suggested by this study is as follows; ${\delta}{\leq}\frac{3}{2}(k+1)+\frac{2}{\frac{3}{2}(k+1)+\sqrt{\{\frac{3}{2}(k+1)\}^2}+4$ Conclusion: The results of this study will be able to contribute not only in practice of variance investigation requiring in the standard costing and budgeting system, but also in all fields dealing with variance investigation differences, for example, intangible services quality control that are difficult to specify tolerances (control limit) unlike tangible product, and internal information system audits where materiality standards cannot be specified unlike external accounting audits.

An Improvement on Target Costing Technique

  • Wu, Hsin-Hung
    • International Journal of Quality Innovation
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    • v.4 no.1
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    • pp.191-204
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    • 2003
  • The target costing technique, mathematically discussed by Sauers, only uses the $C_p index along with Taguchi loss function and $\bar{X}$-P control charts to setup goal control limits. The new specification limits derived from Taguchi loss function is linked through the $C_p value to $\bar{X}$-P control charts to obtain goal control limits. Studies have shown that the point estimator of the $C_p index, $C_p, could vary from time to time due to the sampling error. The suggested approach is to use confidence intervals, especially the lower confidence intervals, to replace the point estimator. Therefore, an improvement on target costing technique is presented by applying the lower confidence interval of the $C_p index and using both Taguchi and Spiring's loss functions together with $\bar{X}$-P charts to make this technique more robust in practice. An example is also provided to illustrate how the improved target costing technique works.

Robust design on the arrangement of a sail and control planes for improvement of underwater Vehicle's maneuverability

  • Wu, Sheng-Ju;Lin, Chun-Cheng;Liu, Tsung-Lung;Su, I-Hsuan
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.617-635
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    • 2020
  • The purpose of this study is to discuss how to improve the maneuverability of lifting and diving for underwater vehicle's vertical motion. Therefore, to solve these problems, applied the 3-D numerical simulation, Taguchi's Design of Experiment (DOE), and intelligent parameter design methods, etc. We planned four steps as follows: firstly, we applied the 2-D flow simulation with NACA series, and then through the Taguchi's dynamic method to analyze the sensitivity (β). Secondly, take the data of pitching torque and total resistance from the Taguchi orthogonal array (L9), the ignal-to-noise ratio (SNR), and analysis each factorial contribution by ANOVA. Thirdly, used Radial Basis Function Network (RBFN) method to train the non-linear meta-modeling and found out the best factorial combination by Particle Swarm Optimization (PSO) and Weighted Percentage Reduction of Quality Loss (WPRQL). Finally, the application of the above methods gives the global optimum for multi-quality characteristics and the robust design configuration, including L/D is 9.4:1, the foreplane on the hull (Bow-2), and position of the sail is 0.25 Ls from the bow. The result shows that the total quality is improved by 86.03% in comparison with the original design.