• 품질경영학회지
• /
• 제50권3호
• /
• pp.473-490
• /
• 2022

Purpose: The purpose of this study is to propose a new useful suggestion to monitor the stability of process by developing a stability ratio or index related to investigating how well the process is controlled or operated to the specified target. Methods: The proposed method to monitor the stability of process is building up a new measure index which is making up for the weakness of the existing index in terms of short or long term period of production. This new index is a combined one considering both stability and capability of process to the specification limits. We suppose that both process mean and process variation(or deviation) are changing on time period. Results: The results of this study are as follows: regarding the stability of process as well as capability of process, it was shown that two indices, called SI(stability index) and PI(performance index), can be expressed in two-dimensional X-Y graph simultaneously. This graph is categorized as 4 separated partitions, which are characterized by its numerical value intervals of SI and PI which are evaluated by test statistics. Conclusion: The new revised index is more robust than the existing one in investigating the stability of process in terms of short and long period of production, even in case both process mean and variation are changing.

• 대한안전경영과학회:학술대회논문집
• /
• 대한안전경영과학회 2011년도 추계학술대회
• /
• pp.551-556
• /
• 2011

This research presents an implementation strategy of Process Capability Index (PCI) according to the types of process characteristics. The types of process feature are classified as four perspectives of variation range, time period, error position, and process stage. The paper examines short-term or long-term PCI, within or between variation, position of precision or accuracy, and inclusion of measurement or calibration stage. Moreover, the study proposes normality test of unilateral PCI.

• 대한산업공학회지
• /
• 제11권2호
• /
• pp.189-194
• /
• 1985

Process Capability Index is defined as a ratio between predetermined tolerance and natural tolerance of existent process ($6{\sigma}$). And it is widely used as a performance measure for quality control activities, and a criterion for process classification. This paper developed a unity-fixed process capability table for convenience to calculate process capability and showed how to use it.

• 대한안전경영과학회지
• /
• 제23권3호
• /
• pp.27-33
• /
• 2021

The purpose of this study is to present a novel indicator for analyzing machine failure based on its idle time and productivity. Existing machine repair plan was limited to machine experts from its manufacturing industries. This study evaluates the repair status of machines and extracts machines that need improvement. In this study, F-RPN was calculated using the etching process data provided by the 2018 PHM Data Challenge. Each S(S: Severity), O(O: Occurence), D(D: Detection) is divided into the idle time of the machine, the number of fault data, and the failure rate, respectively. The repair status of machine is quantified through the F-RPN calculated by multiplying S, O, and D. This study conducts a case study of machine in a semiconductor etching process. The process capability index has the disadvantage of not being able to divide the values outside the range. The performance of this index declines when the manufacturing process is under control, hereby introducing F-RPN to evaluate machine status that are difficult to distinguish by process capability index.

• 품질경영학회지
• /
• 제30권2호
• /
• pp.130-151
• /
• 2002

This paper investigates the relation between the Process capability index(PCI) and the quality assurance level under various conditions. The effect of the off-targetness of the process mean, deviation from the nomality, the estimation error, and tile measurement error on the quality assurance level is evaluated. Various distributions such as the Student-t, the chi-square, the gamma, the Weibull, and the log-normal distributions are considered to evaluate the deviation from the nomality. The quality levels under abnormal conditions turn out to be severely different from that under the standard condition. We provide tables and graphs of the quality assurance level on various abnormal conditions. In order for the industry users to use the PCI properly, they should refer to the tables and graphs, especially when they are not certain about the standard assumptions on which the PCI depends.

• Communications for Statistical Applications and Methods
• /
• 제17권3호
• /
• pp.459-471
• /
• 2010

일반적으로 고객들은 어떤 상품에 대한 품질수준이 높을수록 보다 높은 만족을 얻는 것으로 알려져 있다. 보통품질수준은 공정능력지수에 의해 측정된다. 공정능력이란 공정이 관리상태에 있을 때, 그 공정에서 생산, 제공되는 상품의 변동이 어느 정도인가를 나타내는 중요한 개념이다. 3세대 공정능력지수 $C_{pmk}$는 흔히 현장에서 사용되고 있는 지수$C_p$나$C_{pk}$보다 공정능력을 평가함에 보다 설명력이 있고 합리적인지수라고 할 수 있다. 공정능력에 대한 효율성 평가는 대부분 점추정과 구간추정을 통하여 행하여지고 있는 바, 가설검정을 통한 의사결정 또한 중요한 문제라고 할 수 있다. 본 논문에서는 공정능력여부를 결정하기위하여 공정능력지수 $C_{pmk}$에 대한 보다 유용한 가설검정방법에 대하여 연구하였다. 제안된 붓스트랩 가설검정방법은 공정분포가 정규분포에 따르던 그렇지 않던지 간에 매우 유용하며 보다 수월하게 활용할 수 있음을 밝혔다. 그리고 수치적인 모의실험을 통해 공정의 정규성 여부와 상관없이 제안된 가설검정방법의 타당성을 밝히고자 하였다.

• Communications for Statistical Applications and Methods
• /
• 제18권4호
• /
• pp.527-535
• /
• 2011

This study proposes a modified definition about $C_{pk}$ based on median as the centering parameter in order to more easily control the process since the mean does not represent any quantile of the asymmetric process distribution. Then we consider an estimate and derive the asymptotic normality for the estimate of the modified $C_{pk}$. In addition, we provide an example with asymmetric distributions and discuss the estimation for the limiting variance that are followed by some concluding remarks.

• Journal of the Korean Data and Information Science Society
• /
• 제24권3호
• /
• pp.465-475
• /
• 2013

공정능력을 측정하고 분석하기 위하여 공정능력지수가 매우 중요한 역할을 한다. 흔히 품질수준은 공정능력지수들에 의해 측정된다. 세 가지 공정능력지수 $C_p$, $C_{pk}$, $C_{pm}$들은 품질 현장에서 프로세스 성과를 평가하는 데 널리 유용하게 사용되는 바, 이들 추정량들의 상관관계를 보다 명확하게 규명, 연구하여 적절히 활용할 필요가 있다. 본 논문에서는 공정표본이 정규분포에 따를 때 이러한 지수들의 추정량들에 대한 점근적 상관성을 연구하였다. 제2절에서는 공정능력지수 $C_p$, $C_{pk}$, $C_{pm}$들을 정의하여 기본적인 관계를 설명하였고, 제3절에서는 단일변량 정규공정하에서의 점근적인 상관계수를 구체적으로 계산, 규명하였다. 이러한 연구결과를 이용하여 보다 정확한 공정능력지수들의 상관관계를 통해 필요한 분석을 수행하는 것이 바람직할 것이다.

• 대한안전경영과학회:학술대회논문집
• /
• 대한안전경영과학회 2008년도 추계학술대회
• /
• pp.599-610
• /
• 2008

It is an important and urgent issue to improve process capability in quality control. Process capability refers to the uniformity of the process. The variability in the process is a measure of the uniformity of output. A simple, quantitative way to express process capability, the degree of variability from target in specification is defined by process capability index(PCI). Almost process capability indices are defined under normal distribution. However, these indices can not be applied to the process of non-normal distribution including reliability. We investigate current research on the process of non-normal distribution, and advanced method and technology for developing more reliable and efficient PCI. Finally we suggest the perspective for future study.

• International Journal of Quality Innovation
• /
• 제2권2호
• /
• pp.34-45
• /
• 2001

This study uses MATLAB as a programming tool and applies the bootstrap method to process capability analysis. The advantage of using MATLAB in bootstrap method is to make the bootstrap method much easier to implement and apply particularly in process capability analysis. An example is provided to further illustrate the easy use of MATLAB in bootstrap method.