• 대한산업공학회지
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• 제34권3호
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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.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 1996년도 춘계공동학술대회논문집; 공군사관학교, 청주; 26-27 Apr. 1996
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• pp.15-18
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• 1996

Shewhart control chart is a basic technique to monitor the state of a process. We observe observations of a group of size four or five in a rational way and plot some statistics (e.g., means and ranges) on the chart. When setting up the control chart, the control limits are calculated based on preliminary 20-40 samples, which were supposedly obtained from stable operating conditions. But it may be hard to believe, especially at the beginning of constructing the chart for the first time, whether the process is stable and hence all samples were generated under the homogeneous operating conditions. In this report we suggest a mechanism to obtain robust control limits under self-criticism. When outliers are present in the sample, we obtain tighter control limits and hence increase the sensitivity of the chart. Examples will be given via simulation study.

• 품질경영학회지
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• 제34권4호
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• pp.125-132
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• 2006

An adjusted control limit of the $\overline{X}$ chart is proposed for monitoring the continually improving processes. The continual improvement of the process implies the decrease of the process variance, which is represented by a logistic curve. The process standard deviation is estimated by the exponentially weighted moving average of the sample standard deviations from the past to the current times. The control limits are adjusted by the estimated standard deviation at every sampling time. The performance of the adjusted control limit is compared with that of the standard control limits for various cases of the decreasing speed and size of the variance. The results show that the $\overline{X}$ chart with the adjusted control limits provides better performances for monitoring the small and moderate shifts in continually improving processes.

• 대한전자공학회논문지
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• 제23권2호
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• pp.269-277
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• 1986

This paper proposes a new algorithmic state machine(ASM) chart and a new hardware description for automatic logic design of VLSI. To describe the behavioral characteristics of the design specification, the conventional ASM chart is modified, and a new hardware description language, SDL, is proposed. The SDL is one-to-one correspondent to the proposed ASM chart symbol, and can be used in a hierachical design of VLSI. As a design example, we obtain a logic circuit diagram of gate lebel utilizing a SDL hardware compiler after drawing an ASM chart and describing in SDL.

• 통합자연과학논문집
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• 제7권3호
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• pp.200-207
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• 2014

Average number of samples to signal (ANSS) and average time to signal (ATS) are the most widely used criterion for comparing the efficiencies of the quality control charts. In this study the method of evaluating ANSS and ATS values of the multivariate exponentially weighted moving average (EWMA) control charts with Markov chain approach was presented when the production process is in control state or out of control state. Through numerical results, it is found that when the number of transient state r is less than 50, the calculated ANSS and ATS values are unstable; and ATS(r) tends to be stabilized when r is greater than 100; in addition, when the properties of multivariate EWMA control chart is evaluated using Markov chain method, the number of transient state r requires bigger values when the smoothing constatnt ${\lambda}$ becomes smaller.

• 품질경영학회지
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• 제40권2호
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• pp.176-185
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• 2012

After a work of Derman and Ross(1997) that considered simple main runs rules and derived ARL (Average Run Length) using Markov chain modeling, $\bar{X}$ control chart based on diverse alternative main and supplementary runs rules that is the most popular control chart for monitoring the mean of a process are proposed. This paper reviews and discusses the-state-of-art researches for these runs rules and classifies according to several properties of runs rules. ARL derivation for a proposed runs rule is also illustrated.

• 응용통계연구
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• 제29권5호
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• pp.823-833
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• 2016

제품의 수명은 품질을 나타내는 중요한 특성치이다. 이상적으로는 모든 표본의 수명자료를 측정하는 것이 가장 바람직하나, 이를 측정하는데 많은 시간과 비용이 소요되는 경우 중도절단된 자료로 표본을 구성하는 경우가 많이 발생한다. 이 논문에서는 제1형의 우측중도절단된 수명자료가 와이블 분포를 따를 경우 척도모수의 감소를 탐지하는 이항 누적합 관리도 절차를 제안하였다. 모의실험에서 평균런길이를 이용하여 제안된 관리도 절차의 효율을 이전에 연구된 누적합 관리도 절차와 비교하였는데, 그 결과 중도절단율이 높을 경우와 표본의 크기가 적은 경우 제안된 이항 누적합 관리도가 더 효율적임을 알 수 있었다.

• 대한산업공학회지
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• 제31권1호
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• pp.87-98
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• 2005

This research investigates economic-statistical characteristics of variable sampling size and interval (VSSI)$\bar{X}$charts under two assignable causes. A Markov chain approach is employed in order to calculate average run length (ARL) and average time to signal (ATS). Six transient states are derived by carefully defining the state. A steady state cost rate function is constructed based on Lorenzen and Vance(1986) model. The cost rate function is optimized with respect to six design parameters for designing the VSSI $\bar{X}$ charts. Computational experiments show that the VSSI $\bar{X}$ chart is superior to the Shewhart $\bar{X}$ chart in the economic-statistical sense, even under two assignable causes. A comparative study shows that the cost rate may increase up to almost 30% by overlooking the second cause. Critical input parameters are also derived from a sensitivity study and a few guideline graphs are provided for determining the design parameters.

• International Journal of Naval Architecture and Ocean Engineering
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• 제8권1호
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• pp.13-21
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• 2016

Parametric pitch instability of a Deep Draft Semi-submersible platform (DDS) is investigated in irregular waves. Parametric pitch is a form of parametric instability, which occurs when parameters of a system vary with time and the variation satisfies a certain condition. In previous studies, analyzing of parametric instability is mainly limited to regular waves, whereas the realistic sea conditions are irregular waves. Besides, parametric instability also occurs in irregular waves in some experiments. This study predicts parametric pitch of a Deep Draft Semi-submersible platform in irregular waves. Heave motion of DDS is simulated by wave spectrum and response amplitude operator (RAO). Then Hill equation for DDS pitch motion in irregular waves is derived based on linear-wave theory. By using Bubnov-Galerkin approach to solve Hill equation, the corresponding stability chart is obtained. The differences between regular-waves stability chart and irregular-waves stability chart are compared. Then the sensitivity of wave parameters on DDS parametric pitch in irregular waves is discussed. Based on the discussion, some suggestions for the DDS design are proposed to avoid parametric pitch by choosing appropriate parameters. The results indicate that it's important and necessary to predict DDS parametric pitch in irregular waves during design process.

• 대한토목학회논문집
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• 제30권3B호
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• pp.315-324
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• 2010

본 논문에서는 대규모 유탄성 해석을 통해 초대형 부유식 해상구조물의 설계 차트를 개발했다. 초기 설계단계에 본 챠트를 이용해서 고비용의 유탄성 해석을 사용하지 않고도 초대형 부유식 해상구조물의 유탄성 거동을 예측이 가능하다. 본 논문에서는 두 가지 종류의 설계챠트 I, II을 개발하여 제시하였다. 설계차트 I은 특정 주파수의 파랑에 대한 구조물의 최대응력 응답진폭함수를 얻을 수 있도록 개발되었다. 설계차트 I의 경우 동일한 변장비와 무차원 구조강성계수를 갖는 모든 구조물에 적용이 가능하다. 설계챠트 I과 파랑스펙트럼의 적분을 통해 설계차트 II를 개발하였으며, Beaufort 풍력급에 따른 Bretschneider 스펙트럼을 적용해 해상의 환경요인을 고려하도록 구성되었다.