• Title/Summary/Keyword: Probability chart

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Design of a Curtailed-SPRT Control Chart (단축-축차관리도의 설계)

  • Chang, Young-Soon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.34 no.1
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    • pp.29-37
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    • 2009
  • This paper proposes a curtailed-sequential probability ratio test (SPRT) control chart. For using the conventional SPRT control chart, the number of items inspected in a sampling point should have no restriction since items in a sampling point are inspected one by one until an SPRT Is terminated. The number of observations taken in a sampling point, however, has an upper bound since sampling and testing of an item is time-consuming or expensive. When the sample size reaches the upper bound without evidence of an in-control or out-of-control state of a process, the proposed chart makes a decision using the sample mean of all observations taken in a sampling point. The properties of the Proposed chart are obtained by a Markov chain approach and the performance of the chart is compared with fixed sample size (FSS) and variable sample size (VSS) control charts. A comparative study shows that the proposed chart performs better than VSS control charts as well as conventional FSS control charts.

A Study on the Monitoring of Reject Rate in High Yield Process

  • Nam, Ho-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.3
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    • pp.773-782
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    • 2007
  • The statistical process control charts are very extensively used for monitoring of process mean, deviation, defect rate or reject rate. In this paper we consider a control chart to monitor the process reject rate in the high yield process, which is based on the observed cumulative probability of the number of items inspected until r defective items are observed. We first propose selection of the optimal value of r in the CPC-r charts, and also consider the usefulness of the chart in high yield process such as semiconductor or TFT-LCD manufacturing process.

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Evaluation of Unavailability of the Containment Spray System by use of a Cause-Consequence Chart

  • Park, Gwi-Tae;Chun, Hee-Young;Lee, Chang-Kun
    • Nuclear Engineering and Technology
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    • v.11 no.3
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    • pp.195-202
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    • 1979
  • In this paper, a cause-consequence chart is applied to evaluate the probability that the containment spray system in a nuclear power plant may not be woring properly, given a demand for spryaing at loss of coolant accident (LOCA). It is shown how the diagram provides a basis for calculating two probability measures for malfunctioning of this system, in case the test policy of the system is taken into account, i.e., average probability that the containment spray cannot be established, and average probability that the containment spray is established : spray stops before the required operating time is over.

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The Development of New GO-FLOW Methodology Using the Reliability of System Components (시스템 구성요소의 신뢰도를 기반으로 하는 새로운 GO-FLOW기법 개발)

  • Byun, Yoon-Sup;Lee, Ju-Yeong;Hwang, Kyu-Suk
    • Journal of the Korean Institute of Gas
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    • v.16 no.4
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    • pp.8-15
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    • 2012
  • The GO-FLOW methodology is capable of assessing system reliability. It models the system into a GO-FLOW chart with signal lines and operators and assesses the reliability of system by assessing the GO-FLOW chart sequential. But, as it models one component of system into several operators, the GO-FLOW chart which is different from the system flow diagram be modeled. Also, as it models the real operation time into "time point", it is hard to assess the reliability change according to the real operation time. Therefore, in this paper, the new GO-FLOW methodology which use the function(success/failure) of system components has been developed. It can assess the successful operating probability of system, regardless of the operating status of components. As it models one component of system into one operator, the GO-FLOW chart which is similar the system flow diagram can be modeled. Also, it is able to easily assess the successful probability of system according to the real operation time using the time in the operators.

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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Estimation of Change Point in Process State on CUSUM ($\bar{x}$, s) Control Chart

  • Takemoto, Yasuhiko;Arizono, Ikuo
    • Industrial Engineering and Management Systems
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    • v.8 no.3
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    • pp.139-147
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    • 2009
  • Control charts are used to distinguish between chance and assignable causes in the variability of quality characteristics. When a control chart signals that an assignable cause is present, process engineers must initiate a search for the assignable cause of the process disturbance. Identifying the time of a process change could lead to simplifying the search for the assignable cause and less process down time, as well as help to reduce the probability of incorrectly identifying the assignable cause. The change point estimation by likelihood theory and the built-in change point estimation in a control chart have been discussed until now. In this article, we discuss two kinds of process change point estimation when the CUSUM ($\bar{x}$, s) control chart for monitoring process mean and variance simultaneously is operated. Throughout some numerical experiments about the performance of the change point estimation, the change point estimation techniques in the CUSUM ($\bar{x}$, s) control chart are considered.

A Design of One-Sided Cumulative Scored Control Chart (단방향 누적점수관리도의 설계)

  • 최인수;이윤동
    • Journal of Korean Society for Quality Management
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    • v.26 no.3
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    • pp.31-45
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    • 1998
  • This paper proposes a method of designing one-sided cumulative scored control charts to control the process mean with a normally distributed quality characteristic. The average run length(ARL) is obtained from the average sample number of sequential probability ratio test(SPRT) on trinomial distribution. Using the analogy between cumulative scored control chart and SPRT for trinomial observations, a procedure is presented to determine three control chart parameters; lower and u, pp.r scoring boundaries and action limit. The parameters are determined by minimizing the ARL when the process is out of control with prespecified ARL when the process is in control.

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A Heuristic Approach for Approximating the ARL of the CUSUM Chart

  • Kim, Byung-Chun;Park, Chang-Soon;Park, Young-Hee;Lee, Jae-Heon
    • Journal of the Korean Statistical Society
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    • v.23 no.1
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    • pp.89-102
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    • 1994
  • A new method for approximating the average run length (ARL) of cumulative sum (CUSUM) chart is proposed. This method uses the conditional expectation for the test statistic before the stopping time and its asymptotic conditional density function. The values obtained by this method are compared with some other methods in normal and exponential case.

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Design of Low-Density Parity-Check Codes for Multiple-Input Multiple-Output Systems (Multiple-Input Multiple-output system을 위한 Low-Density Parity-Check codes 설계)

  • Shin, Jeong-Hwan;Chae, Hyun-Do;Han, In-Duk;Heo, Jun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.7C
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    • pp.587-593
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    • 2010
  • In this paper we design an irregular low-density parity-check (LDPC) code for multiple-input multiple-output (MIMO) system, using a simple extrinsic information transfer (EXIT) chart method. The MIMO systems considered are optimal maximum a posteriori probability (MAP) detector. The MIMO detector and the LDPC decoder exchange soft information and form a turbo iterative receiver. The EXIT charts are used to obtain the edge degree distribution of the irregular LDPC code which is optimized for the MIMO detector. It is shown that the performance of the designed LDPC code is better than that of conventional LDPC code which was optimized for either the Additive White Gaussian Noise (AWGN) channel or the MIMO channel.

A Study on the Adjustment Synthetic Control Chart Pattern for Detecting Shifts using Individual Observations in Start-Up Process (초기공정에서 공정변화에 대한 개별 관측치를 이용한 수정된 합성 관리도 연구)

  • 지선수
    • Journal of Korea Society of Industrial Information Systems
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    • v.7 no.4
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    • pp.53-58
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    • 2002
  • This paper presents a adjustment synthetic control chart that is an integration of the Shewhart X chart and the conforming run length(CRL) chart. The application of the adjustment synthetic control chart my therefore substantially enhance the effectiveness process control for manufacturing. In the synthetic control chart, denotes the average number of the X sample required to detect a process shift. The synthetic control chart outperforms the EWM chart and the X chart when σ is greater than 0.75σ. And the X-CRL charts suggested above evaluate using the conditional probability.

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