• Title/Summary/Keyword: Standard $deviation(\sigma)$

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A Study on the Optimization of the Dimensional Deviation due to the Shortening of the Cycle Time for Rear Cover of Mobile Phone (휴대폰 후면 커버의 공정시간 단축에 따른 치수 편차의 최적화에 관한 연구)

  • Kim, Joo-Kwon;Kim, Jong-Sun;Lee, Jun-Han;Kwak, Jae-Seob
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.6
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    • pp.117-124
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    • 2017
  • In this study, we investigated the optimization of process conditions by using the Six Sigma process, design of experiment (DOE) method and response surface method (RSM) to resolve dimensional deviation and appearance problems arising from the shortened process time of the mobile phone rear cover. The analysis of the trivial many was performed by 2-sample T-test and cooling time, and mold temperature and packing pressure were selected as the vital fews affecting the overall width of the product. The optimal conditions of the process were then studied using the DOE and the RSM. We analyzed the improvement effects by applying the selected optimal conditions to the production process and the results showed that the difference between the mean value and target value of the overall width stood at 0.01 mm, an improvement of 88.89% compared to current process that fell within the range of standard dimension. The short-term process capability stood at $4.77{\sigma}$, which implied an excellent technology level despite a decrease by $0.22{\sigma}$ compared to the current process. The difference in process capability decreased by $2.44{\sigma}$ to $0.41{\sigma}$, showing a significant improvement in management capability. Ultimately, the process time of the product was shortened from 18.3 seconds in the current process to 13.65 seconds, resulting in a 34.07% improvement in production yield.

A Case Study on Quantifying Uncertainties of Geotechnical Random Variables (지반 확률변수의 불확실성 정량화에 관한 사례연구)

  • Han, Sang-Hyun;Yea, Geu-Guwen;Kim, Hong-Yeon
    • The Journal of Engineering Geology
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    • v.22 no.1
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    • pp.15-25
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    • 2012
  • Probabilistic design methods have been used as a design standard in Korea and abroad for achieving reasonable design by considering the statistical uncertainties of soil properties. In this study, the following techniques for reflecting geotechnical uncertainty are analyzed: quantification of the uncertainties of geotechnical random variables, and consideration of economic feasibility in design by minimizing the uncertainties related to the number of samples. To quantify the uncertainties, the techniques were applied to soil properties obtained from samples collected and tested in the field. The results showed an underestimation of the standard deviation by the 3-sigma approach in comparison with calculations using data from the samples. This finding indicates that economical design is possible in terms of probability. However, when compared with the Bayesian approach, which does not consider the number of samples, variability in the 3-sigma approach is underestimated for some variables. This finding also indicates a safety issue, whereas the number of samples based on the Bayesian approach showed the lowest variance. The variance of the probability density function showed a marked decrease with increasing number of samples, to converge at a certain level when the number exceeds 25. Of note, the estimation of values is more reliable for random variables having low variability, such as soil unit weight, and can be obtained with a small number of samples.

Seasonal and Look-directional Variation of X-band SAR Sigma Nought in Mongolian Land Surface

  • Kim, Jae-Hun;Yoon, Sun Yong;Jo, Min-Jeong;Won, Joong-Sun
    • Korean Journal of Remote Sensing
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    • v.34 no.4
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    • pp.639-647
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    • 2018
  • This paper presents TerraSAR-X and KOMPSAT-5 sigma nought variation according to season and antenna observation configuration in Mongolia. Two types of landcover including bare surface and cropland were examined. The seasonal variation of sigma nought in cropland was about 7 dB and particularly a significant sigma nought reduction occurred after harvest. On the contrary, the Mongolia bare surface provides a consistent sigma nought values for several years with an annual variation less than 2.5 dB of standard deviation. However, the bare soil was relatively sensitive to look-direction (or ascending or descending mode) as well as incidence angle while the cropland was almost independent of antenna look-direction and small incidence angle changes. Although the look-directional variation of bare surface sigma nought was observed in this study, the look-direction anisotropic nature of the surface was not well examined. A further study would be required to account for this feature with various SAR observation configurations.

Influence of Atmospheric Stability and Topography on the Wind Direction Fluctuations (대기안정도(大氣安定度)와 지형조건(地形條件)에 따른 풍향변동폭(風向變動幅)의 특성(特性))

  • Kim, Yong Goog;Lee, Chong Bum
    • Journal of Korean Society for Atmospheric Environment
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    • v.8 no.2
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    • pp.138-145
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    • 1992
  • Dependence of the standard deviation of wind direction fluctuations, ${\sigma}_{\theta}$, on atmospheric stability, averaging time and topography were analysed with the data measured at three sites, Youngjongdo beach of the Yellow Sea, Chuncheon basin and Doam-Dam valley. The results show that the mean value of ${\sigma}_{\theta}$ is large in complex terrain, the Doam-Dam site. It is notable that the large value of ${\sigma}_{\theta}$ at night is associated with the low wind speed and the strong stable condition. In order to study the long-period fluctuations of the wind direction, ${\sigma}_{\theta}$ for longer than 10 minutes averaging time was further analysed using the data obtained at the Chuncheon basin. At the averaging time shorter than 60 minutes, larger ${\sigma}_{\theta}$ is associated with longer averaging time in the strong stable condition. However, ${\sigma}_{\theta}$ was not affected significantly by wind speed and averaging time in neutral conditions. The results of the spectrum analysis for the time series data of wind direction showed that low-frequency fluctuations ranging from 10 to 60 minutes were dominated at the Chuncheon basin in strong stable condition.

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3D-Digital Model Generation of an Automobile-Fender Using Digital Photogrammetry (수치사진측량기법에 의한 Fender의 3차원 수치모형 생성)

  • 정성혁;황창섭;이재기
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.19 no.2
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    • pp.147-154
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    • 2001
  • The development of equipments which are for the collection and processing of digital images in digital photogrammetry is actively performed at the research about practical use. The close-range digital photogrammetry is widely using to determine accurate position, feature, and size of objects. The goal of this study is to judge the precise surveying possibility of a streamline object, like a vehicle, using digital close-range photogrammetry. The standard deviation of the calculated coordinates is respectively ${\sigma}_x$=0.434mm, ${\sigma}_y$=0.619mm, ${\sigma}_z$=0.387mm. The result values is enough to converge an accuracy required for the field of an automobile design. Therefor we suggest that the digital close-range photogrammetry could be use for the majority of industries.

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Global measures of distributive mixing and their behavior in chaotic flows

  • Tucker, Charles L.;Peters, Gerrit W.M.
    • Korea-Australia Rheology Journal
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    • v.15 no.4
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    • pp.197-208
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    • 2003
  • Two measures of distributive mixing are examined: the standard deviation $\sigma$ and the maximum error E, among average concentrations of finite-sized samples. Curves of E versus sample size L are easily interpreted in terms of the size and intensity of the worst flaw in the mixture. E(L) is sensitive to the size of this flaw, regardless of the overall size of the mixture. The measures are used to study distributive mixing for time-periodic flows in a rectangular cavity, using the mapping method. Globally chaotic flows display a well-defined asymptotic behavior: E and $\sigma$ decrease exponentially with time, and the curves of E(L) and $\sigma$ (L) achieve a self-similar shape. This behavior is independent of the initial configuration of the fluids. Flows with large islands do not show self-similarity, and the final mixing result is strongly dependent on the initial fluid configuration.

Robust Design of Composite Structure under Combined Loading of Bending and Torsion (굽힘-비틀림 복합하중을 받는 복합재료 구조물의 최적 강건 설계)

  • Yun, Ji-Yong;O, Gwang-Hwan;Nam, Hyeon-Uk;Han, Gyeong-Seop
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.11a
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    • pp.211-214
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    • 2005
  • This research studied robust design of composite structure under combined loading of bending and torsion. DOE (Design of Experiment) technique was used to find important design factors. The results show that the beam height, beam width, layer thickness and stack angle of outer-layer are important design parameter. The $2^{nd}$ DOE and RSM (Response Surface Model) were conducted to obtain optimum design. Multi-island genetic algorithm was used to optimum design. An approximate value of 6.65 mm in deflection was expected under optimum condition. Six sigma robust design was conducted to find out guideline for control range of design parameter. To acquire six sigma level reliability, the sigma level reliability, the standard deviation of design parameter should be controlled within 2.5 % of average design value.

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Development of Fingerprints for Quality Control of Acorus species by Gas Chromatography/Mass Spectrometry

  • Yu, Se-Mi;Kim, Eun-Kyung;Lee, Je-Hyun;Lee, Kang-Ro;Hong, Jong-Ki
    • Bulletin of the Korean Chemical Society
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    • v.32 no.5
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    • pp.1547-1553
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    • 2011
  • An effective analytical method of gas chromatography/mass spectrometry (GC/MS) was developed for the rapid determination of essential oils in the crude extract of Acorus species (Acorus gramineus, Acorus tatarinowii, and Acorus calamus). Major phenypropanoids (${\beta}$,${\alpha}$-asarone isomers, euasarone, and methyleugenol) and ${\beta}$-caryophyllene in Acorus species were used as marker compounds and determined for the quality control of herbal medicines. To extract marker compounds, various extraction techniques such as solvent immersion, mechanical shaking, and sonication were compared, and the greatest efficiency was observed with sonication extraction using petroleum ether. The dynamic range of the GC/MS method depended on the specific analyte; acceptable quantification was obtained between 10 and 2000 ${\mu}g/mL$ for ${\beta}$-asarone, 10 and 500 ${\mu}g/mL$ for ${\alpha}$-asarone, 10 and 200 ${\mu}g/mL$ for methyleugenol, and between 5 and 100 ${\mu}g/mL$ for ${\beta}$-caryophyllene. The method was deemed satisfactory by inter- and intra-day validation and exhibited both high accuracy and precision, with a relative standard deviation < 10%. Overall limits of detection were approximately 0.34-0.83 ${\mu}g/mL$, with a standard deviation (${\sigma}$)-to-calibration slope (s) ratio (${\sigma}$/s) of 3. The limit of quantitation in our experiments was approximately 1.13-3.20 ${\mu}g/mL$ at a ${\sigma}$/s of 10. On the basement of method validation, 20 samples of Acorus species collected from markets in Korea were monitored for the quality control. In addition, principal component analysis (PCA) and hierarchical cluster analysis (HCA) were performed on the analytical data of 20 different Acorus species samples in order to classify samples that were collected from different regions.

Development of B-Value Based GBAS Ground Facility Error Standard Deviation Model and Verification (B-Value를 이용한 GBAS 지상국 오차 표준편차 모델 개발 및 성능 평가)

  • Jun, Hyang-Sig;Ahn, Jong-Sun;Lee, Young-Jae;Choi, Young-Kiu;Sung, Sang-Kyung;Yeom, Chan-Hong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.12
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    • pp.1232-1237
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    • 2009
  • The ICAO and FAA are developing and verifying of GBAS for civil aircraft landing and take-off. The guarantee of aircraft integrity issue is the important part of GBAS. To guarantee integrity, the GBAS ground facility broadcasts various informations to aircraft. The informations are related to the estimated accuracy of each pseudorange correction and the estimated error terms, for example B-value and standard deviation of the ground facility error. These parameters are used to calculate position error (estimated value of the user). If estimated position errors don't satisfy requirements, aircraft use alternate navigation means. In this paper, GBAS reference stations's real data, which operated by KARI (Korea Aerospace Research Institute) in Jeju international airport, are used to development of new ground facility error standard deviation model. We verify improvement of GBAS availability, with respected to vertical protection level, using B-value based a new ground facility error standard deviation model and a sigma inflation factor.

Influence Function on Tolerance Limit

  • Kim, Honggie;Lee, Yun Hee;Shin, Hee Sung;Lee, Sounki
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.497-505
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    • 2003
  • Under normality assumption, the tolerance interval for a future observation is sometimes of great interest in statistics. In this paper, we state the influence function on the standard deviation $\sigma$, and use it to derive the influence function on tolerance limits. Simulation study shows that the two influence functions perform very well.