• Title/Summary/Keyword: c control chart

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Analysis of Output Constancy Checks Using Process Control Techniques in Linear Accelerators (선형가속기의 출력 특성에 대한 공정능력과 공정가능성을 이용한 통계적 분석)

  • Oh, Se An;Yea, Ji Woon;Kim, Sang Won;Lee, Rena;Kim, Sung Kyu
    • Progress in Medical Physics
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    • v.25 no.3
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    • pp.185-192
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    • 2014
  • The purpose of this study is to evaluate the results for the quality assurance through a statistical analysis on the output characteristics of linear accelerators belonging to Yeungnam University Medical Center by using the Shewhart-type chart, Exponentially weighted moving average chart (EWMA) chart, and process capability indices $C_p$ and $C_{pk}$. To achieve this, we used the output values measured using respective treatment devices (21EX, 21EX-S, and Novalis Tx) by medical physicists every month from September, 2012 to April, 2014. The output characteristics of treatment devices followed the IAEA TRS-398 guidelines, and the measurements included photon beams of 6 MV, 10 MV, and 15 MV and electron beams of 4 MeV, 6 MeV, 9 MeV, 12 MeV, 16MeV, and 20 MeV. The statistical analysis was done for the output characteristics measured, and was corrected every month. The width of control limit of weighting factors and measurement values were calculated as ${\lambda}=0.10$ and L=2.703, respectively; and the process capability indices $C_p$ and $C_{pk}$ were greater than or equal to 1 for all energies of the linear accelerators (21EX, 21EX-S, and Novalis Tx). Measured values of output doses with drastic and minor changes were found through the Shewhart-type chart and EWMA chart, respectively. The process capability indices $C_p$ and $C_{pk}$ of the treatment devices in our institution were, respectively, 2.384 and 2.136 for 21EX, 1.917 and 1.682 for 21EX-S, and 2.895 and 2.473 for Novalis Tx, proving that Novalis Tx has the most stable and accurate output characteristics.

Prediction of fault zone ahead of tunnel face using x-Rs control chart analysis for crown settlement (천단변위의 x-Rs 관리도 분석을 이용한 터널 막장 전방 단층대 예측)

  • Yun, Hyun-Seok;Seo, Yong-Seok;Kim, Kwang-Yeom
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.16 no.4
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    • pp.361-372
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    • 2014
  • A measurement of tunnel displacement plays an important role for stability analysis and prediction of possible fault zone ahead of tunnel face. In this study, we evaluated characteristics of tunnel behaviour due to the existence and orientation of fault zone based on 3-dimensional finite element numerical analysis. The crown settlement representing tunnel behaviour is acquired at 5 m away from tunnel face in combination with x-Rs control chart analysis based on statistics for trend line and L/C (longitudinal/crown displacement) ratio in order to propose risk management method for fault zone. As a result, x-Rs control chart analysis can enable to predict fault zone in terms of existence and orientation in tunnelling.

Effect of Ambient Temperature on Bovine Erythrocyte Sedimentation Rate as Measured by Angled Capillary Method (경사모세관법에 의한 우의 적혈구침강 속도에 미치는 환경온도의 영향)

  • Kim Kyeong-Jin;Lee Bang-Whan
    • Journal of Veterinary Clinics
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    • v.4 no.1
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    • pp.395-401
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    • 1987
  • In this study, the effect of ambient temperature on the 45$^{\circ}$micro ESR/hr of cattle blood were observed, and a correction chart for correcting observed values at any ambient temperature to standard values at 20$^{\circ}C$ was plotted. Besides, the effect of storage temperature of blood on the 45$^{\circ}$micro ESR/hr was surveyed. The results were as follows: 1. The values of the 45$^{\circ}$micro ESR/hr were increased as the ambient temperature were elevated(P<0.01), and lower the value of PCV, higher the effect of temperature on the 45$^{\circ}$micro ESR/hr was observed(P<0.01). 2. Regression of values of 45$^{\circ}$micro ESR to ambient temperature in all the group of different level of blood PCV showed linear regression with the highly significant coefficient of correlation. With the results, correction chart was drawn as in Fig. 1. 3. In the purpose to verify the reliability of correction chart, observed values of 45$^{\circ}$micro ESR/hr in field(out door) were corrected to values at 20$^{\circ}C$ by the correction chart(Fig. 1), comparing with the observed values at 20$^{\circ}C$ of standard temperature. No significant differences were found between two groups mentioned above. 4. In the study on the effect of storage temperature of the blood on the 45$^{\circ}$micro ESR/hr, group of storage temperature at 5$^{\circ}C$ showed statistically no significant differences untill 24 hours in contrast with standard control group.

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A Modified Target Costing Technique to Improve Product Quality from Cost Consideration

  • Wu, Hsin-Hung
    • International Journal of Quality Innovation
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    • v.6 no.2
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    • pp.31-45
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    • 2005
  • The target costing technique, mathematically discussed by Sauers, only uses the $C_p$ index along with Taguchi loss function and ${\bar{X}}-R$ control charts to set up goal control limits. The new specification limits derived from Taguchi loss function is linked through the $C_p$ value to ${\bar{X}}-R$ control charts to obtain goal control limits. This study further considers the reflected normal loss function as well as the $C_{pk}$ index along with its lower confidence interval in forming goal control limits. With the use of lower confidence interval to replace the point estimator of the $C_{pk}$ index and reflected normal loss function proposed by Spiring to measure the loss to society, this modified and improved target costing technique would become more robust and applicable in practice. Finally, an example is provided to illustrate how this modified and improved target costing technique works.

Application of x-MR control chart on monitoring displacement for prediction of abnormal ground behaviour in tunnelling (터널 시공 중 이상 거동 예측을 위한 계측 변위의 x-MR 관리도 활용)

  • Yun, Hyun-Seok;Song, Gyu-Jin;Shin, Young-Wan;Kim, Chang-Yong;Choo, Seok-Yeon;Seo, Yong-Seok
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.16 no.5
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    • pp.445-458
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    • 2014
  • The displacement data monitored during tunnel construction play a crucial role in predicting the behaviour of ground around and ahead of excavation face. However, the management criteria for monitoring data are not well established especially for the reliable analysis on varying aspect of displacement data along with chainage. In this study, we evaluated the applicability of x-MR control chart method, which is kind of applied statistical management method, for the analysis of displacement monitoring data in terms of prediction of possible collapse or induced cracks. As a result, a possible abnormal behaviour could be predicted beforehand at 5 ~ 13 m ahead or on at least one day before it occurred by using x-MR control chart method. In addition, it is noted that the moving range for the x-MR control chart should be set to 5~10 for this purpose.

Improvement of an Early Failure Rate By Using Neural Control Chart

  • Jang, K.Y.;Sung, C.J.;Lim, I.S.
    • International Journal of Reliability and Applications
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    • v.10 no.1
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    • pp.1-15
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    • 2009
  • Even though the impact of manufacturing quality to reliability is not considered much as well as that of design area, a major cause of an early failure of the product is known as manufacturing problem. This research applies two different types of neural network algorithms, the Back propagation (BP) algorithm and Learning Vector Quantization (LVQ) algorithm, to identify and classify the nonrandom variation pattern on the control chart based on knowledge-based diagnosis of dimensional variation. The performance and efficiency of both algorithms are evaluated to choose the better pattern recognition system for auto body assembly process. To analyze hundred percent of the data obtained by Optical Coordinate Measurement Machine (OCMM), this research considers an application in which individual observations rather than subsample means are used. A case study for analysis of OCMM data in underbody assembly process is presented to demonstrate the proposed knowledge-based pattern recognition system.

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Quality Control on Standard Samples of $N-NO_3$ and $F^-$ of Drinking Water Quality Pollutant (먹는물 수질오염물질 표준시료에 대한 신뢰도 검증 - 질산성질소, 불소 -)

  • Park, Sun Ku;Song, Ki Bong;Kim, Pyong Chung
    • Analytical Science and Technology
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    • v.13 no.2
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    • pp.229-233
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    • 2000
  • The study was carried out to confirm the reliability of standard samples, low concentration $0.74mgN(NO_3)/l$, $0.58mgF^-/l$, high concentration $2.14mgN(NO_3)/l$, $1.25mgF^-/l$, on the base of quality control chart. The analytical results had the precise reliability with standard deviation of 0.010, 0.017, 0.056 and 0.019, respectively. When three persons A, B and C, who had different analytical experiences, analyzed the standard samples six times repeatedly, C person, who had more academic career and analytical experience, produced far better reliability for analytical results. Therefore, these standard samples were very suitable for external quality control test, because all persons' average values for analytical results were close to the values of prepared standard samples.

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Comparative analysis of Bayesian and maximum likelihood estimators in change point problems with Poisson process

  • Kitabo, Cheru Atsmegiorgis;Kim, Jong Tae
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.1
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    • pp.261-269
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    • 2015
  • Nowadays the application of change point analysis has been indispensable in a wide range of areas such as quality control, finance, environmetrics, medicine, geographics, and engineering. Identification of times where process changes would help minimize the consequences that might happen afterwards. The main objective of this paper is to compare the change-point detection capabilities of Bayesian estimate and maximum likelihood estimate. We applied Bayesian and maximum likelihood techniques to formulate change points having a step change and multiple number of change points in a Poisson rate. After a signal from c-chart and Poisson cumulative sum control charts have been detected, Monte Carlo simulation has been applied to investigate the performance of Bayesian and maximum likelihood estimation. Change point detection capacities of Bayesian and maximum likelihood estimation techniques have been investigated through simulation. It has been found that the Bayesian estimates outperforms standard control charts well specially when there exists a small to medium size of step change. Moreover, it performs convincingly well in comparison with the maximum like-lihood estimator and remains good choice specially in confidence interval statistical inference.

Relationships among various factors used in calculating control limits of control chart for variable data (계량형 관리도의 관리규격 계산에 사용되는 여러 계수값 사이의 관계)

  • 박성균;김영균
    • Journal of Korean Society for Quality Management
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    • v.30 no.4
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    • pp.86-93
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    • 2002
  • There are many different factors used in calculating control limits of control chart for variable data. Specially these factors are divided into two groups such as "no given standard" and "given standard"(namely, for analysis and management), but many kind of factors give rise to confusion. Therefore, It is necessary to manifest relationships among factors for easy application regardless of subgroup size. Many SQC textbooks show us plainly these factors, but do not have enough for adequate explanation of relationships among factors. Besides, notation of these factors of SQC textbook isn't coincide with another one, so necessity to the coincidence for the notation of the factors is highlighted during my work recently. In this study, the close examination about relationships among various factors (A-A3, B3-B6, D1-D4, C4, d2, d3 etc) was carried out. Spread sheet results are presented for getting factors according to subgroup size, by grouping as the case of "no given standard" and "given standard". How are these factors to be applied in statistical package (ex, Minitab) have been analyzed using a series of sample data. analyzed using a series of sample data.