• Title/Summary/Keyword: quality control chart

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A Study on the Complex Target & Pre-Control Chart Apply to Lean Production (Lean 생산방식에 적합한 Complex Target & Pre-Control Chart 적용방안 연구;동일 허용공차를 생산하는 다품종 소량생산을 중심으로)

  • Shin, Heung-Sub;Ree, Sang-Bok
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2007.04a
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    • pp.187-195
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    • 2007
  • 최근 우리나라에서 도요타를 벤치마킹하여 TPS를 도입하는 회사가 늘어나고 있다. 다품종 소량생산의 Lean 생산방식을 적용하기 위해서는 셋업시간의 단축 뿐만 아니라 이에 따른 셋업 품질능력이 향상되어야 한다. 따라서, 공정을 셋업하는 작업자들에게 이러한 Complex Target & Control Chart를 적용한다면, 통계적인 지식 없이도 공정의 불량을 예방 할 수 있으리라 확신한다. 이러한 관리도를 사용하여 공정능력을 향상한다면, 일본과 같은 높은 수준의 공정능력을 확보 할 수 있을 것이다. 단, 본 관리도는 현장 작업자를 위한 불량예방을 위한 품질관리 도구이며, 공정변동을 관리하기 위해서는 엔지니어 측면에서 관리도의 활용도 병행되어야 한다.

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Design of Median Control Chart for Nonnormally Distributed Processes (비정규분포공정(非正規分布工程)에서 메디안특수관리도(特殊管理圖)의 모형설계(模型設計))

  • Sin, Yong-Baek
    • Journal of Korean Society for Quality Management
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    • v.15 no.2
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    • pp.10-19
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    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\overline{X}$-chart, X-chart, $\widetilde{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In the Shewhart $\overline{X}$-chart, which is the most widely used one in Korea, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, and Truncated-normal distributions.

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A Study on the Special Purpose Control Chart for Non-normal Distribution (비정규분포공정(非正規分布工程)에서 특수관리도(特殊管理圖)의 적용연구(適用硏究))

  • Sin, Yong-Baek;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.14 no.1
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    • pp.11-18
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    • 1986
  • Whereas in non-symmetrical distribution manufacturing process they are not plotted relatively on the centeral line but plotted on the skew of right-hand side or left-hand side. That is to say, for the prupose of producing either upper-specification-oriented items or lower-specification-oriented items, and when we carry out tighter control so as to have them pass only its specifications, the distribution shape naturally has a non-normal distribution. In these cases, we could use either compressed control limits or variable transformed logarithm control charts. It the above mentioned methods were not available, we should use special purpose control chart-Mode control chart or Gram-Charlier control chart. These are proper methods for manufacturing process control which uses control chart method. In spite of these methods, domestic manufacturing and mining companies are utterly ignorant about these methods. That invites practical problems in their companies. To enhance this improvements, I proved the property of practical applications of control chart method by comparing and analyzing the case studies of practical application of speical purpose control chart method, and also by introducing the application methods.

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Economic Design of a Moving Average Control Chart with Multiple Assignable Causes when Two Failures Occur

  • Cben, Yun-Shiow;Yu, Fong-Jung
    • International Journal of Quality Innovation
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    • v.2 no.1
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    • pp.69-86
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    • 2001
  • The economic design of control charts has been researched for over four decades since Duncan proposed the concept in 1956. Few studies, however, have focused attention on the economic design of a moving average (MA) control chart. An MA control chart is more effective than the Shewhart chart in detecting small process shifts [9]. This paper provides an economic model for determining the optimal parameters of an MA control chart with multiple assignable causes and two failures in the production process. These parameters consist of the sample size, the spread of the control limit and the sampling interval. A numerical example is shown and the sensitivity analysis shows that the magnitude of shift, rate of occurrence of assignable causes and increasing cost when the process is out of control have a more significant effect on the loss cost, meaning that one should more carefully estimate these values when conducting an economic analysis.

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[ $\overline{X}$ ] Chart with Geometrically Adjusted Control Limits under Continually Improving Processes (지속적으로 향상되는 공정에서 기하 조정 관리한계를 사용한 $\overline{X}$ 관리도)

  • Ryu, Mi-Jung;Park, Chang-Soon
    • Journal of Korean Society for Quality Management
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    • v.34 no.4
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    • pp.125-132
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    • 2006
  • An adjusted control limit of the $\overline{X}$ chart is proposed for monitoring the continually improving processes. The continual improvement of the process implies the decrease of the process variance, which is represented by a logistic curve. The process standard deviation is estimated by the exponentially weighted moving average of the sample standard deviations from the past to the current times. The control limits are adjusted by the estimated standard deviation at every sampling time. The performance of the adjusted control limit is compared with that of the standard control limits for various cases of the decreasing speed and size of the variance. The results show that the $\overline{X}$ chart with the adjusted control limits provides better performances for monitoring the small and moderate shifts in continually improving processes.

Bootstrap $C_{pp}$ Multiple Process Performance Analysis Chart (붓스트랩 $C_{pp}$ 다공정 수행분석차트)

  • Jang, Dae-Heung
    • Journal of Korean Society for Quality Management
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    • v.38 no.2
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    • pp.171-179
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    • 2010
  • Pearn et al.(2002) supposed the $C_{pp}$ multiple process performance analysis chart. This chart displays multiple processes with the process variation and process departure on one single chart. But, this chart can not display the distribution of the process variation and process departure and is inappropriate for processes with non-normal distributions. With bootstrapping method, we can display the distribution of the process variation and process departure on the $C_{pp}$ multiple process performance analysis chart.

A Study on defermination of the economic Parameter in $\bar{x}$-control chart ($\bar{x}$-chart 의 경제적(經濟的) 파라메터 설정(設定)에 관한 연구(硏究))

  • Han, Byeong-Don;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.11 no.1
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    • pp.44-50
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    • 1983
  • The main factors of determining the Control Line of the Control Chart can be classified as follows: 1) sample size (n), 2) the factor that determines the spread of Control Limits (B), (3) sampling frequency (h). The determination of these factors can be explained according to the extent that occurrences of assignable cause should be detected. The purpose of this paper are two: one is for composing a model of which use should be designated for economic decision on the size of these factors leading to the Control Line of the Control Chart, the other is about what influence increasing or decreasing condition, according to changeability of the size of these factors, of expect cost can have on the economy when the Control Chart is used.

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Multivariate CUSUM Chart to Monitor Correlated Multivariate Time-series Observations (상관된 시계열 자료 모니터링을 위한 다변량 누적합 관리도)

  • Lee, Kyu Young;Lee, Mi Lim
    • Journal of Korean Society for Quality Management
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    • v.49 no.4
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    • pp.539-550
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    • 2021
  • Purpose: The purpose of this study is to propose a multivariate CUSUM control chart that can detect the out-of-control state fast while monitoring the cross- and auto- correlated multivariate time series data. Methods: We first build models to estimate the observation data and calculate the corresponding residuals. After then, a multivariate CUSUM chart is applied to monitor the residuals instead of the original raw observation data. Vector Autoregression and Artificial Neural Net are selected for the modelling, and Separated-MCUSUM chart is selected for the monitoring. The suggested methods are tested under a number of experimental settings and the performances are compared with those of other existing methods. Results: We find that Artificial Neural Net is more appropriate than Vector Autoregression for the modelling and show the combination of Separated-MCUSUM with Artificial Neural Net outperforms the other alternatives considered in this paper. Conclusion: The suggested chart has many advantages. It can monitor the complicated multivariate data with cross- and auto- correlation, and detects the out-of-control state fast. Unlike other CUSUM charts finding their control limits by trial and error simulation, the suggested chart saves lots of time and effort by approximating its control limit mathematically. We expect that the suggested chart performs not only effectively but also efficiently for monitoring the process with complicated correlations and frequently-changed parameters.

Statistical Design of CV-CUSUM Control Chart Using Fast Initial Response (FIR을 이용한 CV-CUSUM 관리도의 통계적 설계)

  • Lee, Jung-Hoon;Kang, Hae-Woon;Hong, Eui-Pyo;Kang, Chang-Wook
    • Journal of Korean Society for Quality Management
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    • v.38 no.3
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    • pp.313-321
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    • 2010
  • The coefficient of variation represents the ratio of the standard deviation to the mean, and it is a useful statistic for comparing the degree of variation from one data series to another, even if the means are drastically different from each other. Recently, the CV control chart is developed for monitoring processes in such situations. However, the CV control chart has low performance in detecting small shift. Due to the development of equipment and technique, currently, small shift of process occurs more frequently than large shift. In this paper, we proposes the CV-CUSUM control chart using CUSUM scheme which is cumulative sum of the deviations between each data point and a target value to detect a small shift in the process. We also found that the FIR(fast initial response) CUSUM control chart is especially valuable at start-up or after a CV-CUSUM control chart has signaled out-of-control.

Economic Design of Variable Sample Size ${\bar{X}}$ Control Chart Using a Surrogate Variable (대용변수를 이용한 가변형 부분군 크기 ${\bar{X}}$ 관리도의 경제적 설계)

  • Lee, Tae Hoon;Lee, Min Koo;Kwon, Hyuck Moo;Hong, Sung Hoon;Lee, Jooho
    • Journal of Korean Society for Quality Management
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    • v.45 no.4
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    • pp.943-956
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    • 2017
  • Purpose: This paper proposes a VSS(Variable Sample Size) ${\bar{X}}$ control chart using surrogate variable and shows its effectiveness compared with FSS(Fixed Sample Size) ${\bar{X}}$ control chart using either performance variable or surrogate variable. Methods: The expected cost function of VSS ${\bar{X}}$ control chart is derived. The optimal designs are then found for numerical examples using a GA(genetic algorithm) and compared to those of the FSS ${\bar{X}}$ control charts. Results: Computational results show that VSS ${\bar{X}}$ control chart using surrogate variables is superior to FSS ${\bar{X}}$ control chart using either performance variable or surrogate variable from the economic view points. Conclusion: The proposed VSS ${\bar{X}}$ control chart will be useful in industry fields where a performance variable is not avaliable or too costly.