• Title/Summary/Keyword: moving average process

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A Study on the Design of Adaptive EWMA Control Chart using Kalman Gain Recursive Average (칼만 게인 궤환 평균을 이용한 적응 EWMA 관리도 설계)

  • Yoon, Sangwon;Yoon, Seokhwan;Shin, Yongback
    • Journal of Korean Society for Quality Management
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    • v.24 no.1
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    • pp.73-86
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    • 1996
  • Adaptive EWMA(Exponentially Weighted Moving Average)-x control chart using the Kalman gain recursive average is designed. The designed control chart is effective to on-line process monitoring as continuous flow processes. Performance evaluation between the designed control chart and traditional one is implemented. For this, ARL(Average Run Length) is adopted as a criterion. Results show that the designed adaptive EWMA-x control chart has shorter ARL than EWMA-x control chart when process mean is shifted. This model can be extended to process prevention control. The methodology proposed in this research is turned out to show the high performance than that of the given methodologies.

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EWM-MR chart for individual measurements in start-up process (초기공정에서 개별관측치를 이용한 EWM-MR 관리도)

  • 지선수
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.47
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    • pp.211-218
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    • 1998
  • In start-up process control applications it may be necessary to limit the sample size to one measurement. A control chart for individual measurements is used whenever it is desirable to examine each individual value from the process immediately. A possible option would be to use an exponential weighted moving(EWM), using modifying statistics with individual measurement, chart for monitoring the process center, and using a moving range (MR) chart for monitoring process variability. In this paper it is shown that there is scheme in using the EWM procedure based on average run length. An expression for the ARL is given in terms of an integral equation, approximated using numerical quadrature. In this case, where it is reasonable to assume normality and negligible autocorrelation in the observations, provide graphs that simplify the design of EWM-MR chart and taking method of exponential smoothing constant(λ) and constant(K) are suggested. The charts suggested above evaluate using the conditional probability.

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Impact of Special Causes on EWMA Feedback Process Adjustment (EWMA 피드백 공정 조정에서 이상원인의 영향)

  • 이재준;전상표;이종선
    • Journal of Korean Society for Quality Management
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    • v.31 no.2
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    • pp.183-193
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    • 2003
  • A special cause producing temporary deviation in the underlying process can influence on process adjustment in responsive feedback control system. In this paper, the impact of special causes on the EWMA(Exponentially Weighted Moving Average) forecasts and the process adjustment that is based on the EWMA forecasts are derived. For some special causes with patterned type of contamination, the influence of the causes on the output process are explicitly investigated. A data set, contaminated by a special cause of level shift, is analyzed to evaluate the impact numerically.

A Study on Precision Measurement System for Metal Plate Surface Quality Using Moving Average Image Processing Techniques (이동평균 영상처리기법을 이용한 금속판재 표면품질 정밀 측정시스템 연구)

  • Kim, Tae-Soo;Chun, Joong-Chang
    • Journal of Korea Society of Industrial Information Systems
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    • v.17 no.2
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    • pp.73-80
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    • 2012
  • It has been highly required to develope an automatic metal surface inspection system, specifically using image processing techniques, which can replace the visual inspection method in the steel industry. In this paper, we propose a precisional surface measurement system using the moving average image processing technique. When the surface patterns which are generated in the rolling process of metal plates are recognized as defects, the proposed system can measure the actual number of defects. It has been proved that our system shows better results than the conventional FFT method.

Weak Signal Detection in a Moving Average Model of Impulsive Noise (충격성 잡음의 이동 평균 모형에서 약신호 검파)

  • Kim In Jong;Lee Jumi;Choi Sang Won;Park So Ryoung;Song Iickho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.6C
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    • pp.523-531
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    • 2005
  • We derive decision regions of the maximum likelihood(ML) and suboptimum ML(S-ML) detectors in the first order moving average(FOMA) of an impulsive process. The ML and S-ML detectors are compared in terms of the bit-error-rate in the antipodal signaling system. Numerical results show that the S-ML detector, despite its reduced complexity and simpler structure, exhibits practically the same performance as the optimum ML detector. It is also shown that the performance gap between detectors for FOMA and independent and identically distributed noise becomes larger as the degree of noise impulsiveness increases.

An Economic-Statistical Design of Moving Average Control Charts

  • Yu, Fong-Jung;Chin, Hsiang;Huang, Hsiao Wei
    • International Journal of Quality Innovation
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    • v.7 no.3
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    • pp.107-115
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    • 2006
  • Control charts are important tools of statistical quality control. In 1956, Duncan first proposed the economic design of $\bar{x}-control$ charts to control normal process means and insure that the economic design control chart actually has a lower cost, compared with a Shewhart control chart. An moving average (MA) control chart is more effective than a Shewhart control chart in detecting small process shifts and is considered by some to be simpler to implement than the CUSUM. An economic design of MA control chart has also been proposed in 2005. The weaknesses to only the economic design are poor statistics because it dose not consider type I or type II errors and average time to signal when selecting design parameters for control chart. This paper provides a construction of an economic-statistical model to determine the optimal parameters of an MA control chart to improve economic design. A numerical example is employed to demonstrate the model's working and its sensitivity analysis is also provided.

Hardness Machining Characteristics using the SCM415 Still (SCM415강을 이용한 경도가공 특성)

  • Shin, Mi-Jung;Kim, In-Su;Kim, Jeong-Hwa;Kim, Jin-Su;Kim, Myung-Kyu
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.2
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    • pp.44-49
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    • 2017
  • In this study, the cutting conditions of moving speed, number of main axial revolutions, etc. are changed for the chrome molybdenum steel (SCM415) material and carbide ball end mill tool to study the changes for processing intensity in the cutting process. The results that confirm the intensity of the measured value of the specimen for SCM415 display the intensity with an average 1.0667 HrC. After the fact cutter, it was able to confirm the average intensity of 8.3815 HrC. In addition, the intensity value after image processing may determine the average intensity survey value of 5.8690 HrC and the different intensity values with image processing after face cutting are shown for an average of ${\pm}2.5125HrC$. The different value of intensity with the specimen and image processing is confirmed for an average of 4.8024 HrC. The results of comparing the intensity following the number of main axial revolutions and moving speed show that the intensity is highest for 3,000 rpm and F200, and lowest for 4,000 rpm and F200.

EWMA Control Chart for Monitoring a Process Correlation Coefficient (상관계수의 변동을 탐지하기 위한 EWMA 관리도)

  • 한정혜;조중재
    • Journal of Korean Society for Quality Management
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    • v.26 no.1
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    • pp.108-125
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    • 1998
  • The EWMA(Exponentially Weighted Moving Average) has recently received a great deal of attention in the quality control literature as a process monitoring tool on the shop floor of manufacturing industires, since it is easy to plot, to interpret, and its control limits are easy to obtain. Most a, pp.ications of the EWMA for process monitoring have concentrated on the problem of detecting shifts of a process mean and a process standard deviation with ARL(Average Run Length) properties. But there may be the necessity of controlling linearity on product quality such as the correlation coefficient to the process operator. Control managers may want to protect the increase of a process correlation coefficient value, such as 0, between two variables of interest. However, there are few studies concerned on this part. Therefore, we propose EWMA models for a process correlation coefficient using two transformed statistics, T-statistic and (Fisher's) Z-statistic. We also present some results of simulation by SAS/IML and compare two models.

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An Effective Analyzing Method of Process Capability (효과적(效果的)인 공정능력(工程能力)의 해석기법(解析技法)에 관한 연구(硏究))

  • Song, Seo-Il;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.15 no.1
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    • pp.47-54
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    • 1987
  • It is common that the process capability fluctuates as time passes, but concentrates to the mean value. To keep up process capability with given limits is vital to stability of process. Various control charts, especially ${\sigma}-chart$, have been used for analyzing process capability, but It sometimes can not give distinct answer. So this paper introduces another analyzing method by ARMA (autoregressive moving average) which is originally developed for forecasting, and demonstrates the analyzing methodology through a case study.

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AN INTEGRATED PROCESS CONTROL PROCEDURE WITH REPEATED ADJUSTMENTS AND EWMA MONITORING UNDER AN IMA(1,1) DISTURBANCE WITH A STEP SHIFT

  • Park, Chang-Soon
    • Journal of the Korean Statistical Society
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    • v.33 no.4
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    • pp.381-399
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    • 2004
  • Statistical process control (SPC) and engineering process control (EPC) are based on different strategies for process quality improvement. SPC re-duces process variability by detecting and eliminating special causes of process variation, while EPC reduces process variability by adjusting compensatory variables to keep the quality variable close to target. Recently there has been need for an integrated process control (IPC) procedure which combines the two strategies. This paper considers a scheme that simultaneously applies SPC and EPC techniques to reduce the variation of a process. The process model under consideration is an IMA(1,1) model with a step shift. The EPC part of the scheme adjusts the process, while the SPC part of the scheme detects the occurrence of a special cause. For adjusting the process repeated adjustment is applied according to the predicted deviation from target. For detecting special causes the exponentially weighted moving average control chart is applied to the observed deviations. It was assumed that the adjustment under the presence of a special cause may increase the process variability or change the system gain. Reasonable choices of parameters for the IPC procedure are considered in the context of the mean squared deviation as well as the average run length.