• Title/Summary/Keyword: 신뢰함수

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A Comparison Study between Uniform Testing Effort and Weibull Testing Effort during Software Development (소프트웨어 개발시 일정테스트노력과 웨이불 테스트 노력의 비교 연구)

  • 최규식;장원석;김종기
    • Journal of Information Technology Application
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    • v.3 no.3
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    • pp.91-106
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    • 2001
  • We propose a software-reliability growth model incoporating the amount of uniform and Weibull testing efforts during the software testing phase in this paper. The time-dependent behavior of testing effort is described by uniform and Weibull curves. Assuming that the error detection rate to the amount of testing effort spent during the testing phase is proportional to the current error content, the model is formulated by a nonhomogeneous Poisson process. Using this model the method the data analysis for software reliability measurement is developed. The optimum release time is determined by considering how the initial reliability R($\chi$ 0) would be. The conditions are ($R\chi$ 0)>$R_{o}$ , $P_{o}$ >R($\chi$ 0)> $R_{o}$ $^{d}$ and R($\chi$ 0)<$R_{o}$ $^{d}$ for uniform testing efforts. deal case is $P_{o}$ >($R\chi$ 0)> $R_{o}$ $^{d}$ Likewise, it is ($R\chi$ 0)$\geq$$R_{o}$ , $R_{o}$ >($R\chi$ 0)>R(eqation omitted) and ($R\chi$ 0)<R(eqation omitted)for Weibull testing efforts. Ideal case is $R_{o}$ > R($\chi$ 0)> R(eqation omitted).

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Evaluation of Partial Safety Factors on Sliding of Monolithic Vertical Caisson of Composite Breakwaters (혼성제 직립 케이슨의 활동에 대한 부분안전계수 산정)

  • Lee, Cheol-Eung;Park, Dong-Heon;Kwon, Hyuk-Jae;Lee, Sun-Yong
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.4
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    • pp.267-277
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    • 2009
  • Partial safety factors of the load, resistance, and reliability function are evaluated according to the target probability of failure on sliding mode of monolithical vertical caisson of composite breakwaters. After reliability function is formulated for sliding failure mode of caisson of composite breakwaters regarding bias of wave force, uncertainties of random variables related to loads, strengths are analyzed. Reliability analysis for the various conditions of water depth, geometric, and wave conditions is performed using Level II AFDA model for the sliding failure. Furthermore, the reliability model is also applied to the real caisson of composite breakwaters of Daesan, Dong- hae, and Pohang harbor. By comparing the required width of caisson of composite breakwater according to target probability of failure with the other results, the partial safety factors evaluated in this study are calibrated straightforwardly. Even though showing a little difference on the 1% of target probability, it may be found that the present results agree well with the other results in every other target probability of failure.

Compound Test를 활용한 위성비행소프트웨어의 검증

  • Sin, Hyeon-Gyu;Yang, Seung-Eun;Lee, Jae-Seung;Cheon, Lee-Jin
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.226.1-226.1
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    • 2012
  • 위성에 탑재되어 위성의 상태를 모니터링하며, 지상으로부터 명령을 받아 위성 본연의 임무 수행이 가능하게 하는 위성비행소프트웨어는 그 개발단계에서 다양한 검증활동이 이루어진다. 설계 검증 및 리뷰, 인스펙션을 거쳐 소스 코드로 구현된 후, 단위 시험을 통해 가장 낮은 수준의 검증을 거치게 된다. 이러한 단위 시험은 개별 함수에 대해 입력에 따른 해당 출력 및 동작 여부를 검사하게 된다. 단위 시험이 하나의 함수에 대한 시험 항목이라는 점은 검증대상의 스코프가 좁다는 장점이 있으나, 다른 모듈과 연동되었을 경우에 발생할 수 있는 다양한 경우를 고려하여 테스트 케이스를 작성해야 하는 어려움이 있다. 이러한 문제점을 해결하기 위하여 단위 시험과 함께, 연관된 함수가 이미 구현되어 있는 경우, Stubbing을 하기보다는 직접 해당 함수를 사용하며, 또한 동등한 수준의 개별 함수들을 주어진 시나리오에 따라 동작하는 Compound Test를 활용, 그 결과를 확인하는 방법을 도입하였다. 이를 이용하면 단위 시험에서는 검증하기 어려운 상황별 시나리오에 따른 검증 활동을 수행할 수 있고, 또한 전체 위성비행소프트웨어를 빌드할 필요없이 테스트의 대상이 되는 함수만을 이용, 나머지 부분은 기존의 방식을 그대로 적용할 수 있어, 위성비행소프트웨어의 안전성 및 신뢰성을 보다 향상시킬 수 있다.

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An Alternative Perspective to Resolve Modelling Uncertainty in Reliability Analysis for D/t Limitation Models of CFST (CFST의 D/t 제한모델들에 대한 신뢰성해석에서 모델링불확실성을 해결하는 선택적 방법)

  • Han, Taek Hee;Kim, Jung Joong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.4
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    • pp.409-415
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    • 2015
  • For the design of Concrete-Filled Steel Tube(CFST) columns, the outside diameter D to the steel tube thickness t ratio(D/t ratio) is limited to prevent the local buckling of steel tubes. Each design code proposes the respective model to compute the maximum D/t ratio using the yield strength of steel $f_y$ or $f_y$ and the elastic modulus of steel E. Considering the uncertainty in $f_y$ and E, the reliability index ${beta}$ for the local buckling of a CFST section can be calculated by formulating the limit state function including the maximum D/t models. The resulted ${beta}$ depends on the maximum D/t model used for the reliability analysis. This variability in reliability analysis is due to ambiguity in choosing computational models and it is called as "modelling uncertainty." This uncertainty can be considered as "non-specificity" of an epistemic uncertainty and modelled by constructing possibility distribution functions. In this study, three different computation models for the maximum D/t ratio are used to conduct reliability analyses for the local buckling of a CFST section and the reliability index ${beta}$ will be computed respectively. The "non-specific ${beta}s$" will be modelled by possibility distribution function and a metric, degree of confirmation, is measured from the possibility distribution function. It is shown that the degree of confirmation increases when ${beta}$ decreases. Conclusively, a new set of reliability indices associated with a degree of confirmation is determined and it is allowed to decide reliability index for the local buckling of a CFST section with an acceptable confirmation level.

Establishment of Ultrasonic Measurement Method for Stone Cultural Heritage Considering Water Content and Anisotropy (함수율과 이방성을 고려한 석조문화유산의 초음파 측정방법 설정)

  • Jo, Young Hoon;Lee, Chan Hee
    • Journal of Conservation Science
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    • v.30 no.4
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    • pp.467-480
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    • 2014
  • This study was focused on measurement methods for stone cultural heritages by analyzing Ultrasonic (P-wave) velocity variations according to the water content and anisotropy of rocks. As a result of analyzing of rock properties, the water content and saturation degree were rapidly changed at the beginning of drying and then showed exponential curve which their rates of change gradually decreased. However, P-wave velocity and its rate of change maintained constant values after natural drying of 10 hours. Therefore, the ultrasonic measurement for stone cultural heritages should be performed after natural drying of 10 hours considering the weather and moisture conditions. In addition, the highest values of anisotropy coefficient exhibited in granite and limestone, and indirect method was insensitive to anisotropy compared to direct method. However, all rocks remained anisotropy by indirect method. Accordingly, ultrasonic measurement considering various directions is required. The research results will contribute to customized non-destructive testing and precise diagnosis for lithological characteristics of stone cultural heritage.

A Study on Comparative Evaluation of Application of Software Reliability Model Dependent on Various Hazard Functions (다양한 위험함수에 의존한 소프트웨어 신뢰모형의 적용에 대한 비교 평가에 관한 연구)

  • Yang, Tae-Jin
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.6
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    • pp.800-806
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    • 2018
  • Software efficiency is the probability of failure free use in operating environments, and is the most fundamental factor affecting software system stability. The malfunction of the computer system used in the information technology field may cause a significant loss in the related industry. Therefore, in this study, we analyze the attributes of software reliability models that depend on various hazard functions based on finite fault NHPP model with software failure time data. The hazard function pattern of proposed model is constant for the Goel-Okumoto model, and the Minimax and Rayleigh models follow the incremental pattern, but the hazard function increase value of the Minimax model is smaller than that of the Rayleigh model and the Goel-Okumoto model. Also, the Minimax model was relatively efficient because the true value error of the mean value function m(t) and the mean square error (MSE) of the Minimax model were smaller than those of the Rayleigh and Goel-Okumoto models. The results of this study are expected to be useful for software developers as basic information about the hazard function.

Reliability Analysis of Caisson Type Breakwater using Load Surface (하중면을 이용한 케이슨식 방파제의 신뢰성해석)

  • Kim, Dong-Hyawn
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.3
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    • pp.209-215
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    • 2009
  • A new load surface method for reliability of caisson type breakwater was proposed. Linear functions for horizontal wave force and uplift force were estimated by using water level and wave height then they were applied to the reliability analysis of breakwater using first order reliability method(FORM). In the numerical example, sliding and overturning failure probability of caisson type breakwater were analyzed by using load surface and they were compared with those by Monte Carlo simulation.

Transfer Function Analysis Between Soil Miosture and Runoff at a Hillslope in the Sulmachun (설마천 유역의 토양수분과 유출간의 전이함수 분석)

  • Sun, Han-Na;Joo, Sueng-Hyo;Kim, Sang-Hyun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.62-67
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    • 2009
  • 본 연구에서는 경기도 설마천 지역에 위치한 독립사면에서 시간에 따라 연속 측정한 토양수분을 이용하여 시계열 분석 을 수행하였다. 토양수분의 측정 방법은 장기간 토양수분의 확보에 신뢰성을 인정받은 TDR을 이용하였다. 관측망의 설계를 통하여 선정한 측정지점에 탐침을 매설하고 공간적인 분포를 가진 시계열 형태의 데이터를 수집하였다. 유출은 해당 사이트 인근에 위치한 사방댐과 전격비교의 수위계에서 실측한 값을 사용 하였다. 전이함수 모형을 사면에서의 토양수분 전이과정에 대응되도록 물리적으로 전개하고 실측한 토양수분 시계열 데이터로 분석한 결과와 비교하였다. 전이 함수 모형은 토양수분 시계열 데이터를 입력변수로 하고 유출 데이터를 반응 변수로 하여 전개하여 토양수분 변화량과 유출간의 전이함수 모형을 도출하였다. 시계열 모형의 전개는 크게 자료전처리, 모형구조의 규명, 모수추정, 모형진단 등의 과정을 통해서 적절한 모형을 도출하였다. 산지 사면에서의 토양수분을 전이함수에 의하여 전개한 모형은 지형적 분포 양상에 따라 특색을 나타내었다. 또한 2003년 가을과 2004년 봄의 전이함수 모형 추정을 통하여 계절별 특성이 나타났고, 모형양상에 원인을 검토해 보았다. 본 연구는 전이함수를 이용한 토양수분의 시계열 분석이 사면에서의 토양수분 변동특성을 지형적, 계절적 특성과 연계하여 이해하고 특성화 하는 과정의 적절한 도구가 될 수 있음을 보여주고 있다.

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Evaluation on the Reliability Attributes of Finite Failure NHPP Software Reliability Model Based on Pareto and Erlang Lifetime Distribution (파레토 및 어랑 수명분포에 근거한 유한고장 NHPP 소프트웨어 신뢰성모형의 신뢰도 속성에 관한 평가)

  • Min, Kyung-il
    • Journal of Industrial Convergence
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    • v.18 no.3
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    • pp.19-25
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    • 2020
  • In the software development process, software reliability evaluation is a very important issue. In particular, finding the optimal development model that satisfies high reliability is the more important task for software developers. For this, in this study, Pareto and Erlang life distributions were applied to the finite failure NHPP model to evaluate the reliability attributes. For this purpose, parametric estimation is applied to the maximum likelihood estimation method, and nonlinear equations are calculated using the bisection method. As a result, the Erlang model showed better performance than the Pareto model in the evaluation of the strength function and the mean value function. Also, as a result of inputting future mission time and evaluating reliability, the Erlang model showed an effectively high trend together with the Pareto model, while the Goel-Okumoto basic model showed a decreasing trend. In conclusion, the Erlang model is the best model among the proposed models. Through this study, it is expected that software developers will be able to use it as a basic guideline for exploring and evaluating the optimal software reliability model.

Estimating Confidence Interval of Value of Travel Time(II) (통행시간가치의 신뢰구간 추정(II))

  • 조종래;박철규
    • Journal of Korean Society of Transportation
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    • v.17 no.2
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    • pp.193-198
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    • 1999
  • An asymptotic distribution of the ratio of two normal vectors is estimated. Using the estimated asymptotic distribution, an approximation method to estimate confidence interval of passenger's value of travel time is proposed. As a result of empirical study the 95% confidence interval of value of travel time of home-to-work trips in city of Seoul is estimated at ₩7341.25$\pm$1945.05/hr.

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