• Title/Summary/Keyword: Process Capability Index

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Evaluation of Procss Capability for Exponential Distribution (지수분포의 공정능력 평가)

  • Hong-Jun Kim;Jin-Soo Kim
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.6
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    • pp.48-53
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    • 2002
  • 품질보증 부분에서 대부분 통계적 수법들은 기지분포를 가정하여 데이터를 분석하고 있다. 예를 들면 공정능력에서는 정규분포를 가정하고 있고, 신뢰성 분석에서는 지수분포, 대수정규분포 또는 와이블분포 등을 가정하고 있다. 만약 이러한 것들이 가정하는 확률분포와 크게 편의될 때 도출된 결론은 그 유효성을 상실하게 된다. 따라서 공정이 정규분포를 하지 않는다면 정규분포에 기초한 공정능력지수의 사용은 부정확한 공정의 정보를 제시하게 된다. 이러한 문제를 해결하기 위하여 그 사례로 소표본일 경우 정규성의 유무를 Lilliefors 검정통계량으로 검정하였다. 그리고 최우추정량(MLE), 수정적률추정량(MME), 및 적률추정량(ME)을 사용하여 모수추정을 하여 그 각각의 경우에 공정능력지수로 평가하였다. 공정능력지수의 평가는 공정이 지수분포를 하는 경우에 적합한 공정능력지수($C_{pe}$)를 제안하고, 이것의 대안으로써 Pearson 시스템, Johnson 시스템 및 Burr 시스템과도 비교평가 하였다.

Calculation of Z Sigma Level, PCI, and PPI By SPC Charts in the Discrete Process (계수이산 공정에서 SPC 관리도에 의한 Z 시그마 수준과 PCI 및 PPI의 산출)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.11 no.1
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    • pp.131-136
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    • 2009
  • The research develops the calculation steps of Z sigma level, process capability index(PCI) and process performance index(PPI) applicable to the discrete process in the service industry. The paper presents three following topics used related process indexes according to the precision and accuray in the continuous process. The contents include diverse process indexs for nonconformities by SPC attribute control charts and bias coefficient. The same technique of the nonconformites is also used in the nonconforming units. The practical examples are provided to help easier understanding for users.

Implementation of Nonparametric Statistics in the Non-Normal Process (비정규 공정에서 비모수 통계의 적용)

  • Choe, Seong-Un
    • Proceedings of the Safety Management and Science Conference
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    • 2012.04a
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    • pp.573-577
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    • 2012
  • Based on latest research, the parametric quality statistics cannot be used in non-normal process with demand pattern of many-variety and small-volume, since it involves extremely small sample size. The research proposes nonparametric quality statistics according to the number of lot or batch in the non-normal process. Additionally, the nonparametric Process Capability Index (PCI) is used with 14 identified non-normal distributions.

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Statistical Process Control Software developed by MS-EXCEL and Visual Basic (MS-EXCEL과 Visual Basic으로 개발한 통계적 공정관리 소프트웨어)

  • Han, Kyung-Soo;Ahn, Jeong-Yong
    • Journal of Korean Society for Quality Management
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    • v.24 no.2
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    • pp.172-178
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    • 1996
  • In this study, we developed a software for statistical process control. This software presents $\bar{x}$, R, CUSUM, EWMA control chart and process capability index. In this system, statistical process control methods are integrated into the automated method on a real time base. It is available in process control of specified type and can be performed on personal computer with network system.

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A Study on the Mechanical Properties Optimization of Solid Propellant (고체 추진제의 기계물성 최적화 연구)

  • Choi, Yongkyu;Ryu, Taeha;Kim, Nakhyun;Kim, Jeongeun
    • Journal of the Korean Society of Propulsion Engineers
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    • v.19 no.6
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    • pp.91-97
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    • 2015
  • The limit values of mechanical properties(MPs) of HTPB/AP/Al Solid Propellant was reviewed according to the rocket motor development procedures and the in-process values of MPs were analyzed by the tool of Process Capability Index. Based on finding the dependency among MPs, the optimization is proposed for reducing the properties defects and for improving the rocket grain safeties.

A study on target Sigma Level at R&D stage and robust limits for design margins (R&D 분야의 목표 시그마 수준 설정과 설계 공차의 강건 한계 결정에 대한 연구)

  • Ko, Seoung-gon
    • The Korean Journal of Applied Statistics
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    • v.29 no.2
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    • pp.369-379
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    • 2016
  • The Sigma Level, proposed by Motorola Inc., is one of the many Process Capability Index (PCI)'s that have been presented since the 1970's. It is used to evaluate process capability and unlike other PCI's, it has an advantage in that it uses population probability distribution. However, it is originally designed for mass production and is inadequate to evaluate prototypes or early products in the R&D stages. For use in such cases, we propose an R&D target Sigma Level, derived by considering 1.5 sigma shifts in traditional sigma level from a statistical point of view. We also explain the way to find robust limits for design tolerance because the sigma level or defect probability is useful to establish economical tolerance limits at the R&D stage and mass production.

A Study for the Measurement System Assessment (측정시스템 평가에 관한 연구)

  • 백재욱
    • Journal of Korean Society for Quality Management
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    • v.26 no.4
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    • pp.124-142
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    • 1998
  • It is essential to have a correct measurement system assessment to help improve process or quality. In this paper, we emphasize that a confidence interval a, pp.oach for the parameters of measurement error study and GR&R is crucial and a simple a, pp.oach for constructing them is presented. We also discuss on the issue of linearity of the gauge. Next, we try to reveal the relationship between measurement error and the process capability index. Finally some aspects of conducting the measuring experiment concerning the number of parts, number of measurements per part, and recommendations on how the experiment is to be performed will be considered.

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Determining the Hydrogenation Condition of Oil & Fats by the Orthogonal Table L8(27) (직교표(直交表) L8(27)에 의한 유지(油脂)의 경화반응조건(硬化反應條件)의 결정(決定))

  • Gu, Bon-Cheol;Song, Seo-Il
    • Journal of Korean Society for Quality Management
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    • v.19 no.2
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    • pp.166-171
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    • 1991
  • The purpose of this paper is on determining the optimum hydrogenation conditions of oil & fats of toilet soap for improving the process capability and quality. This paper employs the orthogonal table $L_8(2^7)$ The result of this paper is as follows: (1) The optimum condition of hydrogenation is determined as $A_1$, $B_2$, $C_2$, $D_2$ and the presumed value of average melting point is $42.54{\pm}1.70$(${\alpha}=0.05$) (2) The index of process capability(Cp)is improved from 0.50 to 1.39.

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Understanding Switching Arcs and Dielectric Capability of a SF6 Self-Blast Interrupter

  • Lee, Won-Ho;Kim, Cheol-Su;Lee, Jong-Cheol
    • Proceedings of the Korean Vacuum Society Conference
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    • 2016.02a
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    • pp.196.2-196.2
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    • 2016
  • The design and development procedures of SF6 gas circuit breakers are still largely based on trial and error through testing although the development costs go higher every year. The computation cannot cover the testing satisfactorily because all the real processes arc not taken into account. But the knowledge of the arc behavior and the prediction of thermal plasmas inside SF6 interrupters by numerical simulations are more useful than those by experiments due to the difficulties to obtain physical quantities experimentally and the reduction of computational costs in recent years. In this paper, in order to get further information into the interruption process of a SF6 self-blast interrupter, which is based on the combination of thermal expansion and arc rotation, gas flow simulations with a CFD-arc modeling are performed during the whole switching process such as high-current period, pre-current zero period, and current-zero period. Through the complete work, the temperature of residual arcs as well as the breakdown index after current zero should be a good criterion to predict the dielectric capability of interrupters.

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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.