• Title/Summary/Keyword: Nonhomogeneous Model

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Estimation of Product Reliability with Incomplete Field Warranty Data (불완전한 사용현장 보증 데이터를 이용한 제품 신뢰도 추정)

  • Lim, Tae-Jin
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.4
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    • pp.368-378
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    • 2002
  • As more companies are equipped with data aquisition systems for their products, huge amount of field warranty data has been accumulated. We focus on the case when the field data for a given product comprise with the number of sales and the number of the first failures for each period. The number of censored items and their ages are assumed to be given. This type of data are incomplete in the sense that the age of a failed item is unknown. We construct a model for this type of data and propose an algorithm for nonparametric maximum likelihood estimation of the product reliability. Unlike the nonhomogeneous Poisson process(NHPP) model, our method can handle the data with censored items as well as those with small population. A few examples are investigated to characterize our model, and a real field warranty data set is analyzed by the method.

Study on Narrow Band Solution of the Radiative Transfer within a Cubical Enclosure by Nongray Gas Mixtures with Nonuniform Concentration Profiles (비균일 농도 분포를 갖는 비회색 혼합가스로 충만된 정육면체 내의 좁은 파장모델을 이용한 복사열전달 해석 연구)

  • Park, W.H.;Chun, S.H.;Kim, T.K.;Son, B.S.
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.371-376
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    • 2001
  • Radiative transfer by nongray gas mixtures with nonuniform concentration and temperature profiles were studied by using the statistical narrow-band model and ray-tracing method with the sufficiently accurate $T_{60}$ quadrature set. Transmittances through the nonhomogeneous gas mixtures were calculated by using the Curtis-Godson approximation. Three different cases with different temperature and concentration profiles were considered to obtain benchmark solutions for nongray gas mixtures with nonuniform concentration and temperature profiles. The solutions obtained from this study were verified and found to be very well matched with the previous solutions for uniform gas mixtures. The results presented in this paper can be used in developing various solution methods for radiative transfer by nongray gas mixtures.

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Optimal Release Policies of Software System with Scheduled Delivery Time (예정된 인도시기를 가진 Software시스템의 최적방출정책)

  • 정영배;신현재
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.9 no.13
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    • pp.29-32
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    • 1986
  • A decision procedure to determine when computer software should be released after testing is described. This paper extends optimum release policies minimizing the total expected software cost with a scheduled software delivery time under reliability requirement constraint. Such cost considerations enable us to make a release decision as to when transfer a software system from testing phase to operational phase. The underlying model is software reliability growth model described by a nonhomogeneous poisson process. It is assumed that the penalty cost function due to delay for a scheduled software delivery time is linearly proportional to time. Numerical examples are shown to illustrate the results.

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A Study of Transonic Combustion in a Diverging Channel Using Asymptotic Analysis (점근해석을 이용한 확대형 채널 내의 천음속 연소에 관한 연구)

  • Lee, Jang-Chang
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1604-1610
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    • 2004
  • A steady dilute premixed combustion at transonic speeds in a diverging channel is investigated. The model explores the nonlinear interactions between the near-sonic speed of the flow, the small changes in geometry from a straight channel, and the small heat release due to the one-step first-order Arrhenius chemical reaction. The reactive flow can be described by a nonhomogeneous transonic small-disturbance (TSD) equation coupled with an ordinary differencial equation for the calculation of the reactant mass fraction in the combustible gas. The asymptotic analysis results in the similarity parameters that govern the reacting flow problem. The model is used to study transonic combustion at various amounts of incoming, reactant mass, reaction rates, and channel geometries.

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Narrow Baud Radiative Solutions within a Cubical Enclosure Filled with Real Gas Mixtures

  • Kim, Tae-Kuk;Park, Won-Hee
    • Journal of Mechanical Science and Technology
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    • v.16 no.6
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    • pp.861-869
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    • 2002
  • Radiative transfer by nongray gas mixtures with nonuniform concentration and temperature profiles is studied by using the statistical narrow-band model and the ray-tracing method with the sufficiently accurate T$\_$60/ quadrature set. Transmittances through the nonhomogeneous gas mixtures are calculated by using the Curtis-Godson approximation. Three different cases with different temperature and concentration profiles are considered profiles are considered to obtain benchmark solutions for the radiative transfer by nongray gas mixtures. The solutions obtained from this study are verified and found to be very well matched with the previous solutions for uniform gas mixtures. The results presented in this paper can be used as benchmark solutions in developing various solution methods for radiative transfer by nongray gas mixtures.

Inelastic transient analysis of piles in nonhomogeneous soil

  • Kucukarslan, S.;Banerjee, P.K.
    • Structural Engineering and Mechanics
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    • v.26 no.5
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    • pp.545-556
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    • 2007
  • In this paper, a hybrid boundary element technique is implemented to analyze nonlinear transient pile soil interaction in Gibson type nonhomeogenous soil. Inelastic modeling of soil media is presented by introducing a rational approximation to the continuum with nonlinear interface springs along the piles. Modified $\ddot{O}$zdemir's nonlinear model is implemented and systems of equations are coupled at interfaces for piles and pile groups. Linear beam column finite elements are used to model the piles and the resulting governing equations are solved using an implicit integration scheme. By enforcing displacement equilibrium conditions at each time step, a system of equations is generated which yields the solution. A numerical example is performed to investigate the effects of nonlinearity on the pile soil interaction.

Bayesian Inferences for Software Reliability Models Based on Beta-Mixture Mean Value Functions

  • Nam, Seung-Min;Kim, Ki-Woong;Cho, Sin-Sup;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.21 no.5
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    • pp.835-843
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    • 2008
  • In this paper, we investigate a Bayesian inference for software reliability models based on mean value functions which take the form of the mixture of beta distribution functions. The posterior simulation via the Markov chain Monte Carlo approach is used to produce estimates of posterior properties. Its applicability is illustrated with two real data sets. We compute the predictive distribution and the marginal likelihood of various models to compare the performance of them. The model comparison results show that the model based on the beta-mixture performs better than other models.

Bayesian Analysis of Binary Non-homogeneous Markov Chain with Two Different Time Dependent Structures

  • Sung, Min-Je
    • Management Science and Financial Engineering
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    • v.12 no.2
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    • pp.19-35
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    • 2006
  • We use the hierarchical Bayesian approach to describe the transition probabilities of a binary nonhomogeneous Markov chain. The Markov chain is used for describing the transition behavior of emotionally disturbed children in a treatment program. The effects of covariates on transition probabilities are assessed using a logit link function. To describe the time evolution of transition probabilities, we consider two modeling strategies. The first strategy is based on the concept of exchangeabiligy, whereas the second one is based on a first order Markov property. The deviance information criterion (DIC) measure is used to compare models with two different time dependent structures. The inferences are made using the Markov chain Monte Carlo technique. The developed methodology is applied to some real data.

Short-Term Daily Rainfall Prediction Using Non-Homogeneous Hidden Markov Model (비동질성 은닉 마코프 모형을 이용한 일강우 단기 예측)

  • Jung, Jaewon;Nam, Jisu;Jung, Sungeun;Kim, Soojun;Kim, Hung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.163-163
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    • 2018
  • 미래 수문 분석을 위한 기후변화 연구는 전 세계적으로 많이 수행되어 왔다. 하지만 불확실성 요소로 인해 연구 결과를 활용하는데 있어 여전히 한계가 있다. 따라서 장기적 측면의 기후변화에 대한 연구와 함께 단기간의 엘리뇨, 라니냐와 같은 자연적 기후시스템의 변동에 대한 연구도 현재 진행되고 있다. 본 연구에서는 IRI 연구소에서 매월 전지구 관측자료로 4-7개월 예측을 수행한 GCM 모형 자료를 활용하여 강우 발생을 예측하였다. 한국의 금강유역을 대상유역으로 하였으며, 계절에 따른 강우 변동성을 고려하기 위해 비동질성 은닉 마코프 모형(Nonhomogeneous Hidden Markov Model, NHMM)을 이용하여 일 강우를 모의하였다. 본 연구 결과는 강우 모의를 통한 자연 재난에 대한 예측의 정확도를 향상시키는 새로운 방법론을 제시하는데 활용될 수 있을 것으로 기대된다.

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A Numerical Model for Nuclide Migration in the Far-field of the Repository (처분장 Far-field에서의 핵종이동 수치 모델)

  • Lee, Youn-Myoung;Lee, Han-Soo;Park, Heui-Joo;Cho, Won-Jin;Han, Kyong-Won;Park, Hun-Hwee
    • Nuclear Engineering and Technology
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    • v.21 no.4
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    • pp.267-276
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    • 1989
  • A numerical model for nuclide migration through fractured rock media has been developed. Nuclide transport with groundwater in rock fissures and the diffusion of nuclides into rock matrix are considered one-dimensionally . In the safety assessment of the repository for radioactive waste, this one-dimensional model by the finite-difference scheme, which enables us not only to use more realistic boundary conditions but also to model the nonhomogeneous rock medium as the multilayered media, can be used effectively with the analytical mode. The solution by the numerical model will be verified analytically, and then extended to the double-layered rock medium transport model.

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