• Title/Summary/Keyword: 공액분포

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Bayesian parameter estimation and prediction in NHPP software reliability growth model (NHPP소프트웨어 신뢰도 성장모형에서 베이지안 모수추정과 예측)

  • Chang, Inhong;Jung, Deokhwan;Lee, Seungwoo;Song, Kwangyoon
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.755-762
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    • 2013
  • In this paper we consider the NHPP software reliability model. And we deal with the maximum likelihood estimation and the Bayesian estimation with conjugate prior for parameter inference in the mean value function of Goel-Okumoto model (1979). The parameter estimates for the proposed model is presented by MLE and Bayes estimator in data set. We compare the predicted number of faults with the actual data set using the proposed mean value function.

Bayesian Algorithms for Evaluation and Prediction of Software Reliability (소프트웨어 신뢰도의 평가와 예측을 위한 베이지안 알고리즘)

  • Park, Man-Gon;Ray
    • The Transactions of the Korea Information Processing Society
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    • v.1 no.1
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    • pp.14-22
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    • 1994
  • This paper proposes two Bayes estimators and their evaluation algorithms of the software reliability at the end testing stage in the Smith's Bayesian software reliability growth model under the data prior distribution BE(a, b), which is more general than uniform distribution, as a class of prior information. We consider both a squared-error loss function and the Harris loss function in the Bayesian estimation procedures. We also compare the MSE performances of the Bayes estimators and their algorithms of software reliability using computer simulations. And we conclude that the Bayes estimator of software reliability under the Harris loss function is more efficient than other estimators in terms of the MSE performances as a is larger and b is smaller, and that the Bayes estimators using the beta prior distribution as a conjugate prior is better than the Bayes estimators under the uniform prior distribution as a noninformative prior when a>b.

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Optimization of Net Residual Dispersion and Launching Power Depend on Total Transmission Length and Span Length in Optical Transmission Links with Dispersion Management and Optical Phase Conjugation (분산 제어와 광 위상 공액이 적용된 광전송 링크에서 총 전송 거리와 중계 간격에 따른 전체 잉여 분산과 입사 전력의 최적화)

  • Lee, Seong-Real
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.12B
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    • pp.1433-1441
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    • 2011
  • Design rules of optical transmission links with dispersion management (DM) and optical phase conjugation (OPC) for compensating optical signal distortion due to chromatic dispersion and self phase modulation (SPM) of single mode fiber (SMF) are investigated in this paper. Design rules consist of optimal net residual dispersion (NRD) and optimal range of launching power of wavelength division multiplexed (WDM) channels as a function of total transmission length and span length. In all considered total transmission length and span length, optimal NRD are obtained to +10 ps/nm and -10 ps/mn for transmission links, which is controlled by precompensation and postcompensation, respectively. It is confirmed that system performances are more improved and effective NRD for wide launching power have wider range as total transmission length and span length are more decreased.

Mid-span Spectral Inversion System Applied with Dispersion Management with Different RDPS Determinations for Half Transmission Link (반 전송 링크의 RDPS 결정 방식이 다른 분산 제어가 적용된 Mid-span Spectral Inversion 시스템)

  • Lee, Seong-Real
    • Journal of Advanced Navigation Technology
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    • v.26 no.5
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    • pp.331-337
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    • 2022
  • The length of optical fiber in dispersion-managed link combined with optical phase conjugation to compensate for signal distortion caused by chromatic dispersion and nonlinear Kerr effect is a major factor determining the compensation effectiveness. The dispersion-managed link consists of several fiber spans in which standard single mode fiber and dispersion compensating fiber are arranged. In this paper, the compensation effect in the link that changes residual dispersion per span only by adjusting the length of one type of optical fiber, which is different in the first half link and the second half link with respect to optical phase conjugator (OPC), has been investigated. It was confirmed that the best compensation for 960 Gb/s wavelength division multiplexed signal could be obtained in the dispersion-managed link, in which the cumulative dispersion profile is symmetric around the OPC, and the cumulative dispersion amount is all positive in the first half, and all the cumulative dispersion amount is distributed negatively in the second half.

Compensation of the Distorted WDM Channels Depending on the Control Position of Net Residual Dispersion in Dispersion-managed Optical Link with the Randomly Distributed SMF Lengths and RDPS (SMF 길이와 RDPS가 랜덤하게 분포하는 분산 제어 광전송 링크에서 전체 잉여 분산 조절 위치에 따른 왜곡된 WDM 채널의 보상)

  • Lee, Seong-Real
    • Journal of Advanced Navigation Technology
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    • v.21 no.2
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    • pp.187-192
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    • 2017
  • The compensation characteristics of the distorted WDM channels compensated for by dispersion management (DM) and optical phase conjugation in the long-haul (50 fiber spans ${\times}80km$) transmission link with the randomly distributed single mode fiber (SMF) length and residual dispersion per spans (RDPS) are investigated as a function of the arrangement of SMF and dispersion compensating fiber (DCF) and the control position of net residual dispersion (NRD). It is confirmed that the compensation effect of the distorted WDM channels strongly depends on the arragement of SMF and DCF, rather than the control position of NRD.

The Compensation Effect of the Distorted WDM Signals Depending upon the Deviation of Residual Dispersion per Span (RDPS) in Dispersion-Managed Optical Transmission Links with the Specially Artificial Distributions of SMF Lengths and RDPS (SMF 길이와 RDPS가 특정하게 인위적으로 분포하는 분산 제어 링크에서 RDPS 편차에 따른 왜곡된 WDM 신호의 보상 효과)

  • Lee, Seong-Real
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2015.10a
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    • pp.964-966
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    • 2015
  • The effect of the deviations of single mode fiber lengths and residual dispersion per span (RDPS) on the compensation for the distorted WDM signals in the dispersion-managed optical links with the specially artificial distributions of the lengths of SMFs and RDPSs. The considered artificial distribution is following; the lengths of SMF and RDPSs between the adjacent fiber span are more descended in the half transmission section from transmitter to optical phase conjugator (OPC), and those are more ascended in the rest half transmission section from OPC to the receiver, as number of fiber spans are more increased.

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Effects of Deviations of RDPS on the Compensation for Distorted WDM Channels in Dispersion-Managed Optical Transmission Links of Random Distribution Schemes (랜덤 분포 구조의 분산 제어 광전송 링크에서 RDPS의 편차가 왜곡된 WDM 채널의 보상에 미치는 영향)

  • Lee, Seong-Real
    • Journal of Advanced Navigation Technology
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    • v.19 no.2
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    • pp.147-152
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    • 2015
  • The compensation characteristics of WDM channels depending on residual dispersion per spans (RDPS) deviation in optical links with the randomly distributed RDPS for the adaptive configuration are investigated in this paper. Also, the link design rule related with RDPS deviations is proposed, from the viewpoint of the allowable net residual dispersion (NRD). It is confirmed that the effect of compensation for the distorted WDM channels is more increased as RDPS deviation is smaller. Also, it is confirmed that the decrease of the allowable NRD range for the exact eye opening penalty (EOP) is proportional to RDPS deviation. Therefore, the results of this research is expected to be the design reference for the flexible link configuration of long-haul optical transmission links.

Inverse Problem of Determining Unknown Inlet Temperature Profile in Two Phase Laminar Flow in a Parallel Plate Duct by Using Regularization Method (조정법을 이용한 덕트 내의 이상 층류 유동에 대한 입구 온도분포 역해석)

  • Hong, Yun-Ky;Baek, Seung-Wook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.9
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    • pp.1124-1132
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    • 2004
  • The inverse problem of determining unknown inlet temperature in thermally developing, hydrodynamically developed two phase laminar flow in a parallel plate duct is considered. The inlet temperature profile is determined by measuring temperature in the flow field. No prior information is needed for the functional form of the inlet temperature profile. The inverse convection problem is solved by minimizing the objective function with regularization method. The conjugate gradient method as iterative method and the Tikhonov regularization method are employed. The effects of the functional form of inlet temperature, the number of measurement points and the measurement errors are investigated. The accuracy and efficiency of these two methods are compared and discussed.

Reliability Demonstration Test for a Finite Population Based on the Conjugacy of the Beta-Binomial Distribution (베타-이항분포의 공액성을 근거로 한 유한 모집단의 신뢰성 입증 시험)

  • Jeon, Jong-Seon;Ahn, Sun-Eung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.2
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    • pp.98-105
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    • 2012
  • This paper describes the Bayesian approach for reliability demonstration test based on the samples from a finite population. The Bayesian approach involves the technical method about how to combine the prior distribution and the likelihood function to produce the posterior distribution. In this paper, the hypergeometric distribution is adopted as a likelihood function for a finite population. The conjugacy of the beta-binomial distribution and the hypergeometric distribution is shown and is used to make a decision about whether to accept or reject the finite population judging from a viewpoint of faulty goods. A numerical example is also given.

특이함수에 의한 보의 처짐 및 부정정보 문제의 풀이

  • 심재헌
    • Journal of the KSME
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    • v.23 no.6
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    • pp.448-458
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    • 1983
  • 보의 처짐(deflection of beam) 및 부정정보(statically indeterminate beam)의 문제는 수문이나 압력용기등을 비롯한 각종 구조물의 강도계산에서 설계자가 자주 부딪치는 문제이다. 일반적으로 분포하중이나 집중하중 또는 집중 모우멘트가 작용하는 보, 특히 부정정 보의 경우 해석하기 쉬운 방법을 찾아 모우멘트-면적법, 중첩법, 3-모우멘트의 방정식등을 사용하여 반력이나 반력 모우멘트, 처짐량 등을 계산하고 있다. 그러나 이들 방식들은 일률적으로 어느 경우에나 적용하기에 적합한 것은 아니고 복잡한 각종 정리나 공식들을 사용하여야 하며 공액보(conjugated beam)의 반력을 구한다든가, 선도의 면적을 구하기 위하여 힘든 계산을 행하여야 하는 등 쉽지 않아, 부정정 보를 풀어야 할 경우가 발생할 때마다 좀 더 쉬운 접근방법이 없을까 하는 애로를 느껴왔다. 그러던 차 특이함수를 도입하여 문제의 해결을 시도하여 본 바, 복잡한 공식들을 외울 필요 없이 규칙적이고 일률적인 방법으로 쉽게 문제의 해결이 가능하기에 여기 간단히 풀이 방법을 소개하고자 한다.

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