• Title/Summary/Keyword: 확률적 불확실성

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Uncertainty Analysis of Wave Forces on Upright Sections of Composite Breakwaters (혼성제 직립벽에 작용하는 파력의 불확실성 해석)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.23 no.3
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    • pp.258-264
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    • 2011
  • A MCS technique is represented to stochastically analyze the uncertainties of wave forces exerted on the upright sections of composite breakwaters. A stochastical models for horizontal and uplift wave forces can be straightforwardly formulated as a function of the probabilistic characteristics of maximum wave height. Under the assumption of wave forces followed by extreme distribution, the behaviors of relative wave forces to Goda's wave forces are studied by the MCS technique. Double-truncated normal distribution is applied to take the effects of uncertainties of scale and shape parameters of extreme distribution into account properly. Averages and variances of relative wave forces are quantitatively calculated with respect to the exceedance probabilities of maximum design wave height. It is found that the averages of relative wave forces may be decreased consistently with the increases of the exceedance probabilities. In particular, the averages on uplift wave force are evaluated slightly larger than those on horizontal wave force, but the variations of coefficient of the former are adversely smaller than those of the latter. It means that the uncertainties of uplift wave forces are smaller than those of horizontal wave forces in the same condition of the exceedance probabilities. Therefore, the present results could be useful to the reliability based-design method that require the statistical properties about the uncertainties of wave forces.

Robust production and transportation planning for TFT-LCD industry under demand and price uncertainties using scenario model (시나리오 모델을 활용한 수요 및 가격 불확실성이 존재하는 TFT-LCD 산업에서의 robust 생산 및 수송계획)

  • Shin, Hyun-Joon;Ru, Jae-Pil
    • Proceedings of the KAIS Fall Conference
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    • 2010.05b
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    • pp.923-927
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    • 2010
  • 본 연구는 가격 및 수요 불확실성하의 강건한 (robust) 생산 및 수송 전략을 수립함으로써 수요 및 가격 불확실성이 존재하는 TFT-LCD 제조업 공급사슬망의 의사결정 문제를 해결하고자 한다. 품질로 구분되는 제품들의 생산, 재고 및 물류에 관한 의사결정을 조정하기 위해, 본 연구에서는 생산용량 제약, 해상/항공 수송 리드타임 및 용량 제약 등의 현실적인 제약조건들 이외에 시나리오 모델을 이용하여 수요 및 가격 불확실성을 함께 반영하는 확률적 혼합정수선형계획법모형들을 개발한다. 또한 이들 모형들의 효율적 솔루션을 위해 제안한 휴리스틱 알고리즘의 성능을 평가하도록 한다.

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A Stochastic Network Simulation Model for Project Risk Analysis (확률적 네트워크 Simulation 방법을 이용한 프로젝트의 위험분석모델)

  • 황흥석
    • Proceedings of the Korea Society for Simulation Conference
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    • 2000.11a
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    • pp.16-21
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    • 2000
  • 본 연구는 대형 프로젝트의 위험분석을 위한 확률적 Network 시뮬레이션모델의 연구로서 Simulation방법으로 프로젝트의 성공 및 실패확률을 산정 하였다. 프로젝트의 주요 불확실성 요소(Uncertainty Factors)인 프로젝트의 수행기간(Time), 비용(Cost) 및 성과(Performance) 등의 계획은 실패 없이 추진되어야 하는 것이 중요하다. 연구 개발 및 신기술개발과 같이 대형 프로젝트의 경우, 그 성과 달성의 위험(Risk)성은 매우 크며 이러한 위험 예측 및 분석이 프로젝트의 성공적인 수행을 위하여 매우 중요 시 된다. 본 연구에서는 이를 위한 위험분석(Risk Analysis)의 방법으로 일반적으로 쉽게 사용할 수 있는 위험요인법(Risk Factor Analysis)과 확률적 Network 시뮬레이션모델을 제시하였으며 또한 이를 위한 Simulation프로그램을 개발하였으며 이를 신 기술개발 프로젝트에 응용하는 과정을 보였다. 본 연구에서 개발된 관련 프로그램을 보완 할 경우 대형 프로젝트의 각종 의사결정 시에 매우 유용하게 활용될 수 있으리라 생각된다.

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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.

Uncertainty based crack growth prediction under variable amplitude loads (변동하중 하에서의 불확실성 기반 균열성장 예측)

  • Leem, Sang-Hyuck;An, Da-Wn;Choi, Joo-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.349-352
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    • 2011
  • 본 논문에서는 변동하중 하에서의 균열 성장 예측을 위하여 손상 모델과 주어진 데이터에 기반하여 균열 성장 모델의 변수를 확률분포로 추정한다. 이를 위해 베이지안 접근법을 활용하여 불확실 변수 결합 확률 분포식을 구축하고, Markov Chain Monte Carlo(MCMC)을 통해서 균열 성장 모델의 변수 샘플을 추출하였다. 여기서 추출된 샘플들을 균열 성장 모델에 적용, 균열 성장의 결과를 확률적인 분포로 예측하였다. 위와 같은 추정은 재료의 물성과 같은 변동성이 있는 변수를 모델에 적용하여, 결과값을 확률적인 분포로 예측하였다. 이것은 기존의 안전계수 개념보다 더욱 적절한 안전 기준을 제시 할 수 있다.

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Stochastic Model Predictive Control for Stop Maneuver of Autonomous Vehicles under Perception Uncertainty (자율주행 자동차 정지 거동에서의 인지 불확실성을 고려한 확률적 모델 예측 제어)

  • Sangyoon, Kim;Ara, Jo;Kyongsu, Yi
    • Journal of Auto-vehicle Safety Association
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    • v.14 no.4
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    • pp.35-42
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    • 2022
  • This paper presents a stochastic model predictive control (SMPC) for stop maneuver of autonomous vehicles considering perception uncertainty of stopped vehicle. The vehicle longitudinal motion should achieve both driving comfortability and safety. The comfortable stop maneuver can be performed by mimicking acceleration profile of human driving pattern. In order to implement human-like stop motion, we propose a reference safe inter-distance and velocity model for the longitudinal control system. The SMPC is used to track the reference model which contains the position uncertainty of preceding vehicle as a chance constraint. We conduct simulation studies of deceleration scenarios against stopped vehicle in urban environment. The test results show that proposed SMPC can execute comfortable stop maneuver and guarantee safety simultaneously.

Reliability-Based Design of Shallow Foundations Considering The Probability Distribution Types of Random Variables (확률변수의 분포특성을 고려한 얕은기초 신뢰성 설계)

  • Kim, Chang-Dong;Kim, Soo-Il;Lee, Jun-Hwan;Kim, Byung-Il
    • Journal of the Korean Geotechnical Society
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    • v.24 no.1
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    • pp.119-130
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    • 2008
  • Uncertainties in physical and engineering parameters for the design of shallow foundations arise from various aspects such as inherent variability and measurement error. This paper aims at investigating and reducing uncertainty from deterministic method by using the reliability-based design of shallow foundations accounting for the variation of various design parameters. A probability distribution type and statistics of random variables such as unit weight, cohesion, infernal friction angle and Young's modulus in geotechnical engineering are suggested to calculate the ultimate bearing capacities and immediate settlements of foundations. Reliability index and probability of failure are estimated based on the distribution types of random variables. Widths of foundation are calculated at target reliability index and probability of failure. It is found that application and analysis of the best-fit distribution type for each random variables are more effective than adoption of the normal distribution type in optimizing the reliability-based design of shallow foundations.

The Effects of Financial Market Uncertainty: Does Regime Change Occur During Financial Market Crises? (금융시장 불확실성의 효과: 금융시장 위기 기간 중 국면전환이 발생하였는가?)

  • Kim, Seewon
    • Economic Analysis
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    • v.25 no.3
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    • pp.70-99
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    • 2019
  • Using a stochastic volatility-in-mean VAR model consisting of the KOSPI index, the foreign exchange rate, the government bond rate, and the credit spread, this study investigates the effects of financial market uncertainty on financial markets. We find that higher uncertainty has recessionary effects on financial markets. The effects are especially stronger in equity markets and in won-dollar exchange markets. We also find that the effects of uncertainty become stronger during times of financial market stress compared to normal times. Finally, the results imply that financial market uncertainty may potentially affect the real sector, too.

Probabilistic Finite Element Analysis of Plane Frame (평면 FRAME 구조물의 확률유한요소 해석)

  • 양영순;김지호
    • Computational Structural Engineering
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    • v.2 no.4
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    • pp.89-98
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    • 1989
  • In order to take account of the statistical properties of random variables used in the structural analysis, the conventional approach usually adopts the safety factor based on past experiences for the qualitative assessment of structural safety problem. Recently, new approach based on the probabilistic concept has been applied to the assessment of structural safety in order to circumvent the difficulties of the conventional approach in choosing the appropriate safety factor. Thus, computer program called "Probabilistic finite element method" is developed by incorporating the probabilistic concept into the conventional matrix method in order to investigate the effects of the random variables on the final output of the structural analysis. From the comparison of some examples, it can be concluded that the PFEM developed in this study deals consistently with the uncertainty of random variables and provides the rational tool for the assessment of structural safety of plane frame.

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Sample Average Approximation Method for Task Assignment with Uncertainty (불확실성을 갖는 작업 할당 문제를 위한 표본 평균 근사법)

  • Gwang, Kim
    • Journal of Korea Society of Industrial Information Systems
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    • v.28 no.1
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    • pp.27-34
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    • 2023
  • The optimal assignment problem between agents and tasks is known as one of the representative problems of combinatorial optimization and an NP-hard problem. This paper covers multi agent-multi task assignment problems with uncertain completion probability. The completion probabilities are generally uncertain due to endogenous (agent or task) or exogenous factors in the system. Assignment decisions without considering uncertainty can be ineffective in a real situation that has volatility. To consider uncertain completion probability mathematically, a mathematical formulation with stochastic programming is illustrated. We also present an algorithm by using the sample average approximation method to solve the problem efficiently. The algorithm can obtain an assignment decision and the upper and lower bounds of the assignment problem. Through numerical experiments, we present the optimality gap and the variance of the gap to confirm the performances of the results. This shows the excellence and robustness of the assignment decisions obtained by the algorithm in the problem with uncertainty.