• Title/Summary/Keyword: Run-Out Deviation

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The effect of parameter estimation on $\bar{X}$ charts based on the median run length ($\bar{X}$ 관리도에서 런길이의 중위수에 기초한 모수 추정의 영향)

  • Lee, Yoojin;Lee, Jaeheon
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.6
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    • pp.1487-1498
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    • 2016
  • In monitoring a process, in-control process parameters must be estimated from the Phase I data. When we design the control chart based on the estimated process parameters, the control limits are usually chosen to satisfy a specific in-control average run length (ARL). However, as the run length distribution is skewed when the process is either in-control or out-of-control, the median run length (MRL) can be used as alternative measure instead of the ARL. In this paper, we evaluate the performance of Shewhart $\bar{X}$ chart with estimated parameters in terms of the average of median run length (AMRL) and the standard deviation of MRL (SDMRL) metrics. In simualtion study, the grand sample mean is used as a process mean estimator, and several competing process standard deviation estimators are used to evaluate the in-control performance for various amounts of Phase I data.

Design of the Modified Bounded Adjustment Scheme with Run Rules (런규칙을 사용한 개량된 경계선 수정계획의 설계)

  • 박창순;정윤준
    • Journal of Korean Society for Quality Management
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    • v.32 no.1
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    • pp.144-154
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    • 2004
  • The bounded adjustment is known to be more efficient than repeated adjustment when the cost is incurred for engineering process control. The procedure of the bounded adjustment is to adjust the process when the one-step predicted deviation exceeds the adjustment limit by the amount of the prediction. In this paper, two run rules are proposed and studied In order to improve the efficiency of the traditional bounded adjustment procedure. The efficiency is studied in terms of the standardized cost through Monte Carlo simulation when the procedure is operated with and without the run rules. The adjustment procedure operated with run rules turns out to be more robust for changes in the process and cost parameters.

런규칙을 사용한 개량된 경계선 수정계획의 설계와 Markov 연쇄의 적용

  • 박창순
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2004.04a
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    • pp.413-418
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    • 2004
  • The bounded adjustment is known to be more efficient than repeated adjustment when the cost is incurred for engineering process control. The procedure of the bounded adjustment is to adjust the process when the one-step predicted deviation exceeds the adjustment limit by the amount of the prediction. In this paper, two run rules are proposed and studied in order to improve the efficiency of the traditional bounded adjustment procedure. The efficiency is studied in terms of the standardized cost through Monte Carlo simulation when the procedure is operated with and without the run rules. The adjustment procedure operated with run rules turns out to be more robust for changes in the process and cost parameters. The Markov chain approach for calculating the properties of the run rules is also studied.

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LBCC of Transient State for High Strength Steel in Hot Strip Mills (열연 고강도강의 비정상부 온도제어를 위한 LBCC 개발)

  • Park, Cheol-Jae;Yoon, Kang-Sup
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.4
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    • pp.382-387
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    • 2011
  • In this paper, a LBCC (Latter Bank Cooling Control) for the high strength steel is proposed to obtain the desirable temperature and the property of the material along the longitudinal direction of the steel on the ROT (Run-Out Table) process. A cooling valve is modeled to analyze the response of the ROT banks. The control concept is derived from a field data, a valve model considering the valve response and a TTT (Time-Temperature Transformation) diagram. The proposed control is verified from the simulation results under the various carbon quantities. It is shown through the field test of the hot strip mill that the deviation of the CT (Coiling Temperature) is considerably decreased by the proposed temperature control.

Statistical Design of X Control Chart with Improved 2-of-3 Main and Supplementary Runs Rules (개선된 3 중 2 주 및 보조 런 규칙을 가진 X관리도의 통계적 설계)

  • Park, Jin-Young;Seo, Sun-Keun
    • Journal of Korean Society for Quality Management
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    • v.40 no.4
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    • pp.467-480
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    • 2012
  • Purpose: This paper introduces new 2-of-3 main and supplementary runs rules to increase the performance of the classical $\bar{X}$ control chart for detecting small process shifts. Methods: The proposed runs rules are compared with other competitive runs rules by numerical experiments. Nonlinear optimization problem to minimize the out-of-control ARL at a specified shift of process mean for determining action and warning limits at a time is formulated and a procedure to find two limits is illustrated with a numerical example. Results: The proposed 2-of-3 main and supplementary runs rules demonstrate an improved performance over other runs rules in detecting a sudden shift of process mean by simultaneous changes of mean and standard deviation. Conclusion: To increase the performance in the detection of small to moderate shifts, the proposed runs rules will be used with $\bar{X}$ control charts.

Design of LTBC Controller for Tension Control in Down Coiler Process of Hot Strip Mills (열간압연 권취공정의 장력제어를 위한 LTBC 제어기 설계)

  • Lee, Sang Ho;Park, Hong Bae;Park, Cheol Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.4
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    • pp.301-308
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    • 2015
  • In this paper, we propose an LTBC (Low Tension and Load Balance Control) scheme to improve a coiling shape control by reduction the tension fluctuation by the torque disturbance in the down coiler process of hot strip mills. The proposed controller is a combination of an LTC to control the overload at load-on in the mandrel and an LBC to regulate the load balance of the upper and bottom pinch roll. A tension calculation model is suggested with the concept of the tension deviation. The effectiveness of the proposed control scheme is verified from simulation under a disturbance of the pinch roll torque. Using a field test, we show that the performance of the shape and tension control is improved by the LTBC control.

A Study on Forced Convective Boiling Heat Transfer of Non-Azeotropic Refrigerant Mixture R134a/R123 Inside Horizontal Smooth Tube (수평 전열관내 비공비 혼합냉매 R134a/R123의 강제대류비등 열전달에 관한 연구)

  • Lim, Tae-Woo;Han, Kyu-Il
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.3
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    • pp.381-388
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    • 2003
  • An experimental study was carried out to measure the heat transfer coefficient in flow boiling to mixtures of HFC-l34a and HCFC-123 in a uniformly heated horizontal tube. Tests were run at a pressure of 0.6 MPa and in the ranges of heat flux 1-50 kw/$m^2$, vapor quality 0-100 % and mass velocity 150-600 kg/$m^2$s. Heat transfer coefficients of mixture were less than the interpolated values between pure fluids both in the low quality region where the nucleate boiling is dominant and in the high quality region where the convective evaporation is dominant. Measured data of heat transfer are compared to a few available correlations proposed for mixtures. The correlation of Jung et. al. satisfactorily predicted the present data, but the data in lower quality was overpredicted and underpredicted the high quality data. The correlation of Kandlikar considerably underpredicted most of the data. and showed the mean deviation of 35.1%.

Analysis of the Relation Between Machining Accuracy of Internal Gear and Noise in Reduction Gears (감속기 내부 기어의 가공정밀도와 구동간 소음의 연관특성에 관한 연구)

  • Park, Sung-Pil;Kim, Woo-Hyung;Chung, Jin-Tai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.5
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    • pp.537-543
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    • 2012
  • In this study, we experimentally investigate a noise mechanism related to the machining accuracy of the reducer in the driving state. We fabricate a planetary reducer and four types of gears for use in the planetary reducer. We use signal analysis to determine the noise and vibration of the reducer at different motor speeds; the motor speed is increased from 0 rpm to the maximum speed in a stepwise manner. In addition, we obtain the sound level by using a sound level meter. The machining accuracy of gears is evaluated by public organizations, Korea Testing Laboratory (KTL), on the basis of the Japanese Industrial Standard (JIS). We analyze and compare the results with the noise and vibration of the reducer.

Using Synoptic Data to Predict Air Temperature within Rice Canopies across Geographic Areas (종관자료를 이용한 벼 재배지대별 군락 내 기온 예측)

  • 윤영관;윤진일
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.3 no.4
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    • pp.199-205
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    • 2001
  • This study was conducted to figure out temperature profiles of a partially developed paddy rice canopy, which are necessary to run plant disease forecasting models. Air temperature over and within the developing rice canopy was monitored from one month after transplanting (June 29) to just before heading (August 24) in 1999 and 2001. During the study period, the temporal march of the within-canopy profile was analyzed and an empirical formula was developed for simulating the profile. A partially developed rice canopy temperature seemed to be controlled mainly by the ambient temperature above the canopy and the water temperature beneath the canopy, and to some extent by the solar altitude, resulting in alternating isothermal and inversion structures. On sunny days, air temperature at the height of maximum leafages was increased at the same rate as the ambient temperature above the canopy after sunrise. Below the height, the temperature increase was delayed until the solar noon. Air temperature near the water surface varied much less than those of the outer- and the upper-canopy, which kept increasing by the time of daily maximum temperature observed at the nearby synoptic station. After sunset, cooling rate is much less at the lower canopy, resulting in an isothermal profile at around the midnight. A fairly consistent drop in temperature at rice paddies compared with the nearby synoptic weather stations across geographic areas and time of day was found. According to this result, a cooling by 0.6 to 1.2$^{\circ}C$ is expected over paddy rice fields compared with the officially reported temperature during the summer months. An empirical equation for simulating the temperature profile was formulated from the field observations. Given the temperature estimates at 150 cm above the canopy and the maximum deviation at the lowest layer, air temperature at any height within the canopy can be predicted by this equation. As an application, temperature surfaces at several heights within rice fields were produced over the southwestern plains in Korea at a 1 km by 1km grid spacing, where rice paddies were identified by a satellite image analysis. The outer canopy temperature was prepared by a lapse rate corrected spatial interpolation of the synoptic temperature observations combined with the hourly cooling rate over the rice paddies.

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