• Title/Summary/Keyword: Control Chart

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Determining the Decision Limit of CUSUM Chart for A Fixed Sample Size

  • Kang, Chang Wook;Hawkins, Donglas M.
    • Journal of Korean Society for Quality Management
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    • v.20 no.1
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    • pp.1-10
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    • 1992
  • When we compare different control charting schemes, the average run length of each control chart is usually used. The use of the average run length implies that there is unbounded number of samples or observations. The regression recursive residuals, however, have been applied to the cumulative sum chart to detect whether the mean or variance changes. To implement choice of decision interval, we calculate the probability that certain fixed number of control statistics stay in the in-control state. This probability can be used as the significance level of a test for detecting the change in the residual mean or variance of the data with a finite number of observations.

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Economic Analysis for Detection of Out-of-Control of Process Using 2 of 2 Runs Rules (2중 2 런규칙을 사용한 공정이상 감지방법의 경제성 분석)

  • Kim, Young Bok;Hong, Jung Sik;Lie, Chang Hoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.34 no.3
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    • pp.308-317
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    • 2008
  • This research investigates economic characteristics of 2 of 2 runs rules under the Shewhart $\bar{X}$ control chart scheme. A Markov chain approach is employed in order to calculate the in-control average run length (ARL) and the average length of analysis cycle. States of the process are defined according to the process conditions at sampling time and transition probabilities are derived from the state definitions. A steady state cost function is constructed based on the Lorezen and Vance(1986) model. Numerical examples show that 2 of 2 runs rules are economically superior to the Shewhart $\bar{X}$ chart in many cases.

Economic Adjustment Design For $\bar{X}$ Control Chart: A Markov Chain Approach

  • Yang, Su-Fen
    • International Journal of Quality Innovation
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    • v.2 no.2
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    • pp.136-144
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    • 2001
  • The Markov Chain approach is used to develop an economic adjustment model of a process whose quality can be affected by a single special cause, resulting in changes of the process mean by incorrect adjustment of the process when it is operating according to its capability. The $\bar{X}$ control chart is thus used to signal the special cause. It is demonstrated that the expressions for the expected cycle time and the expected cycle cost are easier to obtain by the proposed approach than by adopting that in Collani, Saniga and Weigang (1994). Furthermore, this approach would be easily extended to derive the expected cycle cost and the expected cycle time for the case of multiple special causes or multiple control charts. A numerical example illustrates the proposed method and its application.

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A Diagnostic Method of Control-in/out in the Glass Furnace

  • Cho, Jin-Hyung;Lee, Sae-Jae;Jang, Do-Soo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.1
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    • pp.151-154
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    • 2006
  • The high degree of viscosity and the non-Newtonian fluid dynamics characterizes the process inside a glass furnace. Because the temperature is fluctuating in very short time-intervals, it is hard to determine that the status of its fluctuation is stable or unstable. Usually Shewhart-chart is used to determine the control status. However because of the characteristics of the temperature fluctuations in the glass furnace it does not directly serve the purpose here. Therefore we suggest using ARIMA to diagnose control status and confirm that the method using ARIMA can be a better tool than Shewhart-chart.

An Accelerated Test Acceptance Control Chart for Process Quality Assurance (공정보증을 위한 가속시험 합격판정 관리도)

  • Kim Jong Gurl
    • Journal of the Korea Safety Management & Science
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    • v.1 no.1
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    • pp.123-134
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    • 1999
  • There are several models for process quality assurance by quality system (ISO 9000), process capability analysis, acceptance control chart and so on. When a high level process capability has been achieved, it takes a long time to monitor the process shift, so it is sometimes necessary to develop a quicker monitoring system. To achieve a quicker quality assurance model for high-reliability process, this paper presents a model for process quality assurance when the fraction nonconforming is very small. We design an acceptance control chart based on variable quality characteristic and time-censored accelerated testing. The distribution of the characteristics is assumed to be normal or lognormal with a location parameter of the distribution that is a linear function of a stress. The design parameters are sample size, control limits and sample proportions allocated to low stress. These paramaters are obtained under minimization of the relative variance of the MLE of location parameter subject to APL and RPL constraints.

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Demand Control Chart (수요관리도)

  • Paik Si-Hyun;Hong Min-Sun
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 2006.05a
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    • pp.235-240
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    • 2006
  • The existing inventory managements bear a relation to forecasting or assumptions. So these methods become more complicated and more expensive systems as time goes. This paper developed a practical inventory system which is called DCC(demand control chart). DCC does not 'forecast' but 'control' the trend of demand without assumptions. According to the trend of sales, DCC adjusts an order quantity considering the capacity of shelf in a store. Specially, DCC is a useful method under FRID system. Besides, this paper introduces EPFR(Every Period Full Replenishment) policy for reducing stocks.

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Control Chart for Constant Hazard Rate (상수형 고장률 관리도)

  • Lee, Jae-Man;Cha, Young-Joon;Hong, Yeon-Woong
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.2
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    • pp.437-444
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    • 1999
  • We propose control charts for constant hazard rate by using the number of failures based on the non-placement(replacement) life test. Also we study the sensitivity of the control chart from the operating characteristic curve.

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A Control Chart for the Improvement of Low Defective Process (저수준 불량 공정의 개선을 위한 관리도)

  • 박기주
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.45
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    • pp.375-381
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    • 1998
  • For products that are subject to inspections that lead to either acceptance or rejection, the p chart or control chart for proportion defective is applicable. The charting technique approach to quality control aims at alerting its user to any presentations in the properties of a manufactured product. This article presents an important tool available for quality control of a production process at the occurrence of defects in manufactured products at view low levels to improve the efficiency of the manufacturing productivity and to satisfy customer through the reduction of defect rates. To understand the consequences of the level of quality on competitive position, a more technical perspective is needed.

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Numerical Switching Performances of Cumulative Sum Chart for Dispersion Matrix

  • Chang, Duk-Joon
    • Journal of Integrative Natural Science
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    • v.12 no.3
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    • pp.78-84
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    • 2019
  • In many cases, the quality of a product is determined by several correlated quality variables. Control charts have been used for a long time widely to control the production process and to quickly detect the assignable causes that may produce any deterioration in the quality of a product. Numerical switching performances of multivariate cumulative sum control chart for simultaneous monitoring all components in the dispersion matrix ${\Sigma}$ under multivariate normal process $N_p({\underline{\mu}},{\Sigma})$ are considered. Numerical performances were evaluated for various shifts of the values of variances and/or correlation coefficients in ${\Sigma}$. Our computational results show that if one wants to quick detect the small shifts in a process, CUSUM control chart with small reference value k is more efficient than large k in terms of average run length (ARL), average time to signal (ATS), average number of switches (ANSW).

Bivariate EWMA Control Charts for Autocorrelated Processes

  • Cho, Gyo-Young;Ahn, Young-Sun
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.1
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    • pp.105-112
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    • 2002
  • In this paper we establish bivariate exponentially weighted moving average (EWMA) control charts for autocorrelated processes using residual vectors. We first derive the residual vectors, their expectation, variance-covariance matrix, then evaluate the control chart based on the average run length (ARL).

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