• 제목/요약/키워드: Probability theory

검색결과 689건 처리시간 0.03초

철골보의 정규하중분포에 따른 파손확률 평가 (Evaluation of the Probability of the Steel Beam to Collapse in Accordance with the Normal Distribution Load)

  • 송창영
    • 한국방재안전학회논문집
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    • 제7권1호
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    • pp.43-50
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    • 2014
  • 본 논문은 신뢰성 이론에 기초하여 철골보의 단경간 및 2경간 연속보의 파손확률을 결정하였다. 계산식에서 철골보에 가해지는 하중은 정규 분포로 가정하여 진행되었으며, 파손확률의 변화를 확인하기 위해 보의 중앙범위에 적용하는 하중을 보의 1대 1과 1대 2로 분할된 지점에 배치하였다. 보의 끝부분의 경계 결합조건 역시 연구에 포함되었다. 연구 결과 파손확률이 있는 보에 대한 결합조건 및 파손확률은 2차 분석에 따라 그 중요도가 낮은 것으로 나타났다. 결론적으로 일부의 경우를 제외하고 보의 파손확률은 보 양단의 경계조건에 따라 차이가 있는 것으로 나타났다.

Prediction of network security based on DS evidence theory

  • Liu, Dan
    • ETRI Journal
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    • 제42권5호
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    • pp.799-804
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    • 2020
  • Network security situation prediction is difficult due to its strong uncertainty, but DS evidence theory performs well in solving the problem of uncertainty. Based on DS evidence theory, this study analyzed the prediction of the network security situation, designed a prediction model based on the improved DS evidence theory, and carried out a simulation experiment. The experimental results showed that the improved method could predict accurately in the case of a large conflict, and had strong anti-jamming abilities as compared with the original method. The experimental results prove the effectiveness of the improved method in the prediction of the network security situation and provide some theoretical basis for the further application of DS evidence theory.

PROBABILITY EDUCATION FOR PREPARATION OF MATHEMATICS TEACHERS USING PARADOXES

  • Lee, Sang-Gone
    • 호남수학학술지
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    • 제30권2호
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    • pp.311-321
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    • 2008
  • Mathematical paradoxes may arise when computations give unexpected results. We use three paradoxes to illustrate how they work in the basic probability theory. In the process of resolving the paradoxes, we expect that student-teachers can pedagogically gain valuable experience in regards to sharpening their mathematical knowledge and critical reasoning.

Implementation issues for Uncertain Relational Databases

  • Yu, Hairong;Ramer, Arthur
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.128-133
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    • 1998
  • This paper aims to present some ideas for implementation of Uncertain Relational Databases (URD) which are extensions of classical relational databases. Our system firstly is based on possibility distribution and probability theory to represent and manipulate fuzzy and probabilistic information, secondly adopts flexible mechanisms that allow the management of uncertain data through the resources provided by both available relational database management systems and front-end interfaces, and lastly chooses dynamic SQL to enhance versatility and adjustability of systems.

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Batch Size Distribution in Input Flow to Queues with Finite Buffer

  • Kim, Che-Soong;Kim, Ji-Seung
    • 한국정보기술응용학회:학술대회논문집
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    • 한국정보기술응용학회 2005년도 6th 2005 International Conference on Computers, Communications and System
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    • pp.271-275
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    • 2005
  • Queueing models are good models for fragments of communication systems and networks, so their investigation is interesting for theory and applications. Theses queues may play an important role for the validation of different decomposition algorithms designed for investigating more general queueing networks. So, in this paper we illustrate that the batch size distribution affects the loss probability, which is the main performance measure of a finite buffer queues.

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A Bayesian Approach to Paired Comparison of Several Products of Poisson Rates

  • Kim Dae-Hwang;Kim Hea-Jung
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2004년도 학술발표논문집
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    • pp.229-236
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    • 2004
  • This article presents a multiple comparison ranking procedure for several products of the Poisson rates. A preference probability matrix that warrants the optimal comparison ranking is introduced. Using a Bayesian Monte Carlo method, we develop simulation-based procedure to estimate the matrix and obtain the optimal ranking via a row-sum scores method. Necessary theory and two illustrative examples are provided.

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Performance Analysis of Cellular Networks with D2D communication Based on Queuing Theory Model

  • Xin, Jianfang;Zhu, Qi;Liang, Guangjun;Zhang, Tiaojiao;Zhao, Su
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권6호
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    • pp.2450-2469
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    • 2018
  • In this paper, we develop a spatiotemporal model to analysis of cellular user in underlay D2D communication by using stochastic geometry and queuing theory. Firstly, by exploring stochastic geometry to model the user locations, we derive the probability that the SINR of cellular user in a predefined interval, which constrains the corresponding transmission rate of cellular user. Secondly, in contrast to the previous studies with full traffic models, we employ queueing theory to evaluate the performance parameters of dynamic traffic model and formulate the cellular user transmission mechanism as a M/G/1 queuing model. In the derivation, Embedded Markov chain is introduced to depict the stationary distribution of cellular user queue status. Thirdly, the expressions of performance metrics in terms of mean queue length, mean throughput, mean delay and mean dropping probability are obtained, respectively. Simulation results show the validity and rationality of the theoretical analysis under different channel conditions.

결함수분석법과 퍼지논리를 이용한 FMECA 평가 (FMECA using Fault Tree Analysis (FTA) and Fuzzy Logic)

  • 김동진;신준석;김형준;김진오;김형철
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 추계학술대회 논문집
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    • pp.1529-1532
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    • 2007
  • Failure Mode, Effects, and Criticality Analysis (FMECA) is an extension of FMEA which includes a criticality analysis. The criticality analysis is used to chart the probability of failure modes against the severity of their consequences. The result highlights failure modes with relatively high probability and severity of consequences, allowing remedial effort to be directed where it will produce the greatest value. However, there are several limitations. Measuring severity of failure consequences is subjective and linguistic. Since The result of FMECA only gives qualitative and quantitative informations, it should be re-analysed to prioritize critical units. Fuzzy set theory has been introduced by Lotfi A. Zadeh (1965). It has extended the classical set theory dramatically. Based on fuzzy set theory, fuzzy logic has been developed employing human reasoning process. IF-THEN fuzzy rule based assessment approach can model the expert's decision logic appropriately. Fault tree analysis (FTA) is one of most common fault modeling techniques. It is widely used in many fields practically. In this paper, a simple fault tree analysis is proposed to measure the severity of components. Fuzzy rule based assessment method interprets linguistic variables for determination of critical unit priorities. An rail-way transforming system is analysed to describe the proposed method.

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Degradation reliability modeling of plain concrete for pavement under flexural fatigue loading

  • Jia, Yanshun;Liu, Guoqiang;Yang, Yunmeng;Gao, Ying;Yang, Tao;Tang, Fanlong
    • Advances in concrete construction
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    • 제9권5호
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    • pp.469-478
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    • 2020
  • This study aims to establish a new methodological framework for the evaluation of the evolution of the reliability of plain concrete for pavement vs number of cycles under flexural fatigue loading. According to the framework, a new method calculating the reliability was proposed through probability simulation in order to describe a random accumulation of fatigue damage, which combines reliability theory, one-to-one probability density functions transformation technique, cumulative fatigue damage theory and Weibull distribution theory. Then the statistical analysis of flexural fatigue performance of cement concrete tested was carried out utilizing Weibull distribution. Ultimately, the reliability for the tested cement concrete was obtained by the proposed method. Results indicate that the stochastic evolution behavior of concrete materials under fatigue loading can be captured by the established framework. The flexural fatigue life data of concrete at different stress levels is well described utilizing the two-parameter Weibull distribution. The evolution of reliability for concrete materials tested in this study develops by three stages and may corresponds to develop stages of cracking. The proposed method may also be available for the analysis of degradation behaviors under non-fatigue conditions.

Bayes 판단 이론 기반 멀티미디어 워터마크 검출 알고리즘 (Multimedia Watermark Detection Algorithm Based on Bayes Decision Theory)

  • 권성근;이석환;김병주;권기구;하인성;권기룡;이건일
    • 한국통신학회논문지
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    • 제27권7A호
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    • pp.695-704
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    • 2002
  • 멀티미디어에 삽입된 워터마크의 검출은 저작권 보호 및 인증 분야에서 매우 중요한 역할을 한다. 최근 워터마크의 검출에 많이 사용되는 유사도 기반 알고리즘은 대상 영상의 분포 특성을 이용하지 않기 때문에 검출 성능이 떨어지는 단점을 가진다. 따라서 본 논문에서는 웨이블릿 변환 영역에서 상승적 방법에 의하여 삽입된 워터마크에 대한 효율적인 검출 알고리즘을 제안하였다. 제안한 워터마크 검출 알고리즘은 통계적 판단 이론에 따라 Bayes 판단 이론, 웨이블릿 계수들의 확률 분포 모델, 및 Neyman-Pearson 정의에 기반을 둔다. 따라서 제안한 검출 알고리즘에서는 주어진 오류 검출 확률에 대하여 간과 검출 확률을 최소화할 수 있는 장점이 있다. 제안한 검출 알고리즘의 성능 평가는 견고성 측면에서 수행되었고, 실험 결과로부터 제안한 알고리즘이 유사도 기반 알고리즘에 비하여 우수한 성능을 나타냄을 확인하였다.