• Title/Summary/Keyword: K-chart

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The Statistical Design of CV Control Charts for the Gamma Distribution Processes (감마분포 공정을 위한 변동계수 관리도의 통계적 설계)

  • Lee, Dong-Won;Paik, Jae-Won;Kang, Chang-Wook
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.2
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    • pp.97-103
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    • 2006
  • Recently, the control chart is developed for monitoring processes with normal short production runs by the coefficient of variation(CV) characteristic for a normal distribution. This control chart does not work well in non-normal short production runs. And most of industrial processes are known to follow the non-normal distribution. Therefore, the control chart is required to be developed for monitoring the processes with non-normal short production runs by the CV characteristics for a non-normal distribution. In this paper, we suggest the control chart for monitoring the processes with a gamma short runs by the CV characteristics for a gamma distribution. This control chart is denoted by the gamma CV control chart. Futhermore evaluated the performance of the gamma CV control chart by average run length(ARL).

A Variable Sampling Interval $T^2$ Control Chart with Sampling at Fixed Times (고정표본채취시점을 갖는 가변표본채취간격 다변량 $T^2$ 관리도)

  • Seo, Jong-Hyen;Chang, Young-Soon
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.34 no.2
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    • pp.1-8
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    • 2011
  • This paper proposes a variable sampling interval multivariate $T^2$ control chart with sampling at fixed times, where samples are taken at specified equally spaced fixed time points and additional samples are allowed between these fixed times when indicated by the preceding $T^2$ statistics. At fixed sampling points, the $T^2$ statistics are composed of all quality characteristics and a part of quality characteristics are selected to obtain $T^2$ statistics at additional sampling points. A Markov chain approach is used to evaluate the performance of the proposed chart. Numerical studies for the performance of the proposed chart show that the proposed chart reduces the observations obtained from a process and detects the assignable cause of a process with low correlated quality characteristics quickly.

Economic design of VSI ${\overline{X}}$-CRL Synthetic Control Chart (VSI ${\overline{X}}$-CRL 합성관리도의 경제적 설계)

  • Song, Suh-Ill;Park, Hyun-Kyu;Jung, Hey-Jin
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.4
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    • pp.85-93
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    • 2005
  • This paper is designed a VSI ${\overline{X}}$-CRL synthetic control chart in aspect of economy. We found the optimal sampling interval and various control limit factors under various cost parameters using cost function, proposed Lorenzen and Vance. Optimal design parameters include the sample size, control limit width, sampling interval, CRL/S chart control limit; L. Comparison and analysis of cost parameters are applied between synthetic VSI ${\overline{X}}$-CRL chart and FSI ${\overline{X}}$-CRL chart. The result of this paper shows that VSI ${\overline{X}}$-CRL chart brings cost-cutting effect of 3.04% control expense less than FSI control chart. It may not be difficult to establish the optimal economic control parameters to apply the practical cost parameters in the field.

A comparison of single charts for non-normal data (비정규성 데이터에 대한 단일 관리도들의 비교)

  • Kang, Myunggoo;Lee, Jangtaek
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.3
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    • pp.729-738
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    • 2015
  • In this paper, we compare the robustness to the assumption of normality of the single control charts to control the mean and variance simultaneously. The charts examined were semicircle control chart, max chart and MSE chart with Shewhart individuals control charts. Their in-control and out-of-control performance were studied by simulation combined with computation. We calculated false alarm rate to compare among single charts by changing subgroup size and shifting mean of quality characteristics. It turns out that max chart is more robust than any of the others if the process is in-control. In some cases max chart and MSE chart are more robust than others if the process is out-of-control.

Markovian EWMA Control Chart for Several Correlated Quality Characteristics

  • Chang, Duk-Joon;Kwon, Yong-Man;Hong, Yeon-Woong
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.1045-1053
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    • 2003
  • Markovian EWMA control chart for simultaneously monitoring mean vector of the several correlated quality characteristics is investigated. Properties of multivariate Shewhart chart and EWMA chart are evaluated for matched FSI (fixed sampling interval) and VSI(variable sampling interval) scheme. We obtained VSI EWMA chart is more efficient than Shewhart chart for small or moderate shifts. And, we obtained stablized numerical results with Markov chain method when the number of transient state is greater than 100.

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FIR CV-EWMA Control Chart (FIR CV-EWMA 관리도)

  • Hong, Eui-Pyo;Kang, Hae-Woon;Kang, Chang-Wook;Baek, Jae-Won
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.3
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    • pp.146-153
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    • 2010
  • When the production run is short and process parameters change frequently, it is difficult to monitor the process using traditional control charts. In such a case, the coefficient of variation (CV) is very useful for monitoring the process variability. The CV control chart is an effective tool to control the mean and variability of process simultaneously. The CV control chart, however, is not sensitive at small shifts in the magnitude of CV. The CV-EWMA(exponentially weighted moving average) control chart which was developed recently is effective in detecting a small shifts of CV. Since the CV-EWMA control chart scheme can be viewed as a weighted average of all past and current CV values, it is very sensitive to small change of mean and variability of the process. In this paper, we propose an FIR(Fast initial response) CV-EWMA control chart to improve the sensitivity of a CV-EWMA scheme at process start-up or out-of-control process. Moreover, we suggest the values of design parameters and show the results of the performance study of FIR CV-EWMA control chart by the use of average run length(ARL). Also, we compared the performance of FIR CV-EWMA control chart with that of the CV-EWMA control chart and we found that the CV-EWMA control chart gives longer in-control ARL and much shorter out-of-control ARL.

A Study of The Refraction at Video Display Terminal (VDT를 이용한 굴절검사에 대한 연구)

  • Lee, Hak Jun
    • Journal of Korean Ophthalmic Optics Society
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    • v.5 no.2
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    • pp.49-53
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    • 2000
  • Comparing to an Image test chart which printed from computer. Hahn's standard test chart and Chart project test chart propose to make the program of an image test chart in computer. Test type of the test chart should be programed by difference size which was examined Hangul program of Hangul & Computer Co. An image test of visual acuity most decreased among 3 kinds of testing. Testing of Fixation disparity was same between Diplopia test and chart project test chart, so that. Design of test chart could be programed diverse by Hangul program of Hangul & Computer Co.

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Study on Effect of Learning Treatment Chart (의안(醫案) 학습효과에 대한 연구)

  • Kim, Yong-Chan;Shin, Hyeun-Kyoo;Kim, Byung-Soo;Kang, Jung-Soo
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.19 no.3
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    • pp.580-585
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    • 2005
  • Treatment chart(醫案) is a document that doctors have described about their own practice. Western doctor's chart has a prescribed form, but otherwise chart of oriental medicine is a free form. As It has no prescribed form, doctors of oriental medicine have recorded important facts that they think especially. For example, details are patient's name, age, sex and address, the name of disease, state of pulse and tongue, state of secretions(stools, urine, perspiration, etc.), color of face, state of sleep and thirst, diagnosis, prescription, improvement of herb, teaching, and so forth. If we study on chart of oriental medicine, we draw a lesson about practices of a famous doctors. Through that we can increase ability of diagnosis and adaptation to circumstance, make ourselves familiar with use of past prescriptions and way of changing prescription, and learn narrative story of past doctors' personal experience, their though and teaching. As chart of oriental medicine had many methods to take a measure to meet the false situation, we can learn that. Through chart of oriental medicine, we can improve our practice of oriental medicine.

The ARL of a Selectively Moving Average Control Chart (선택적 이동평균(S-MA) 관리도의 ARL)

  • Lim, Tae-Jin
    • Journal of Korean Society for Quality Management
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    • v.35 no.1
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    • pp.24-34
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    • 2007
  • This paper investigates the average run length (ARL) of a selectively moving average (S-MA) control chart. The S-U chart is designed to detect shifts in the process mean. The basic idea of the S-MA chart is to accumulate previous samples selectively in order to increase the sensitivity. The ARL of the S-MA chart was shown to be monotone decreasing with respect to the decision length in a previous research [3]. This paper derives the steady-state ARL in a closed-form and shows that the monotone property is resulted from head-start assumption. The steady-state ARL is shown to be a sum of head-start ARL and an additional term. The statistical design procedure for the S-MA chart is revised according to this result. Sensitivity study shorts that the steady-state ARL performance is still better than the CUSUM chart or the Exponentially Weighted Moving Average (EWMA) chart.

Design of Robust Expected Loss Control Chart (로버스트 기대손실 관리도의 설계)

  • Lee, Hyeung-Jun;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.39 no.3
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    • pp.10-17
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    • 2016
  • Control Chart is a graph which dots the characteristic values of a process. It is the tool of statistical technique to keep a process in controlled condition. It is also used for investigating the state of a process. Therefore many companies have used Control Chart as the tool of statistical process control (SPC). Products from a production process represent accidental dispersion values around a certain reference value. Fluctuations cause of quality dispersion is classified as a chance cause and a assignable cause. Chance cause refers unmanageable practical cause such as operator proficiency differences, differences in work environment, etc. Assignable cause refers manageable cause which is possible to take actions to remove such as operator inattention, error of production equipment, etc. Traditionally ${\bar{x}}-R$ control chart or ${\bar{x}}-s$ control chart is used to find and remove the error cause. Traditional control chart is to determine whether the measured data are in control or not, and lets us to take action. On the other hand, RNELCC (Reflected Normal Expected Loss Control Chart) is a control chart which, even in controlled state, indicates the information of economic loss if a product is in inconsistent state with process target value. However, contaminated process can cause control line sensitive and cause problems with the detection capabilities of chart. Many studies on robust estimation using trimmed parameters have been conducted. We suggest robust RNELCC which used the idea of trimmed parameters with RNEL control chart. And we demonstrate effectiveness of new control chart by comparing with ARL value among traditional control chart, RNELCC and robust RNELCC.