• Title/Summary/Keyword: Failure Rate Model

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A Study of Generalized Model for Determining the Optimal Number of Minimal Repairs before Replacement Considering Inherent Availability (가용도를 고려한 교체전 최소수리횟수 결정모델에 관한 연구)

  • 강호신;조남호;유왕진
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.47
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    • pp.47-55
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    • 1998
  • This paper proposes a maintenance model considering the Inherent availability of certain requirement and two types of failures, repairable or irrepairable. In this model, the system is replaced in time when it doesn't meet the inherent availability requirement despite of all repairable failures; Otherwise it is replaced by the first irrepairable failure. Assuming that the j-th failure is repairable with probability ${\alpha}_j$, minimal repairs are performed for repairable failures between replacements. We drive the expected cost rate through the application of NHPP(Non-Homogeneous Poisson Process) in order to determine the optimal number $n^*$. The model includes some previous studies as special cases.

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A Fully Coupled Hydrogeomechanical Numerical Analysis of Rainfall Impacts on Groundwater Flow in Slopes and Slope Stability (사면 내의 지하수 유동과 사면의 안정성에 대한 강수 영향의 완전 연동된 수리지질역학적 수치 해석)

  • 김준모
    • Journal of the Korean Geotechnical Society
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    • v.18 no.6
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    • pp.5-16
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    • 2002
  • A hydrogeomechanical numerical model is presented to evaluate rainfall impacts on groundwater flow in slopes and slope stability. This numerical model is developed based on the fully coupled poroelastic governing equations for groundwater flow in deforming variably saturated geologic media and the Galerkin finite element method. A series of numerical experiments using the model developed are then applied to an unsaturated slope under various rainfall rates. The numerical simulation results show that the overall hydromechanical slope stability deteriorates, and the potential failure nay initiate from the slope toe and propagate toward the slope crest as the rainfall rate increases. From the viewpoint of hydrogeology, the pressure head and hence the total hydraulic head increase as the rainfall rate increases. As a result, the groundwater table rises, the unsaturated zone reduces, the seepage face expands from the slope toe toward the slope crest, and the groundwater flow velocity increases along the seepage face. From the viewpoint of geomechanics, the horizontal displacement increases, and the vertical displacement decreases toward the slope toe as the rainfall rate increases. This may result from the buoyancy effect associated with the groundwater table rise as the rainfall rate increases. As a result, the overall deformation intensifies toward the slope toe, and the unstable zone, in which the factor of safety against shear failure is less than 1, becomes thicker near the slope toe and propagates from the slope toe toward the slope crest. The numerical simulation results also suggest that the potential tension failure is likely to occur within the slope between the potential shear failure surface and the ground surface.

Replacement model under warranty with age-dependent minimal repair

  • Park, Minjae
    • International Journal of Reliability and Applications
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    • v.18 no.1
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    • pp.9-20
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    • 2017
  • In this paper, we consider a renewable repair-replacement warranty strategy with age-dependent minimal repair service and propose an optimal maintenance model during post-warranty period. Such model implements the repair time limit under warranty and follows with a certain form of system maintenance strategy when the warranty expires. The expected cost rate is investigated per unit time during the life period of the system as for the standard for optimality. Based on the cost design defined for each failure of the system, the expected cost rate is derived during the life period of the system, considering that a renewable minimal repair-replacement warranty strategy with the repair time limit is provided to the customer under warranty. When the warranty is finished, the maintenance of the system is the customer's responsibility. The life period of the system is defined and the expected cost rate is developed from the viewpoint of the customer's perspective. We obtain the optimal maintenance strategy during the maintenance period by minimizing such a cost rate after a warranty expires. Numerical examples using field data are shown to exemplify the application of the methodologies proposed in this paper.

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A Comparison of Software Reliability Models (소프트웨어 신뢰성 모형의 비교에 관한 연구)

  • Jun, Chi-Hyuck
    • Journal of Korean Institute of Industrial Engineers
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    • v.15 no.2
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    • pp.65-75
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    • 1989
  • A general software reliability model is developed, which includes the Jelinski-Moranda model, the Goel-Okumoto model, the Shanthikumar model and the Ross model as special cases. In each of above models estimators of the software failure rate and the number of remaining errors are presented and compared in terms of the expected absolute error loss and the expected squared error loss by a Monte Carlo simulation.

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Probabilistic Assessment of Wave Overtopping of Seawall at Busan, Korea (부산 신항 방파제의 월파 확률 평가)

  • Qie, Luwen;Choi, Byung-Ho;Xie, ShiLeng
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.2
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    • pp.176-183
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    • 2008
  • In this paper, three classical overtopping models: Owen model, Van der Meer & Janssen model and Hedges & Reis model were used to calculate the failure probability of wave overtopping of seawalls. Among of them, the Hedges & Reis model was regarded as a moderate method to analyze the failure probability of wave overtopping of seawalls and the probabilistic assessments of wave overtopping were carried out for a constructing seawall at Busan in Korea by Level II and Level III reliability methods. Considering the cost of construction, an appropriate crest level was proposed for a certain rate of wave overtopping at a lower failure probability.

Replacement Policies Under Minimal Repair with Cyclic Failure Rates

  • Choi, Sung-Woon;Lee, Sang-Hoon
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.277-286
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    • 1998
  • This paper investigates the problem of determining optimal replacement policies for equipment subject to failures with cyclic rates. In many situations, the system failures depend on the operating environmental conditions that vary on time, usually with periodical manners. We use nonhomogeneous Poisson processes whose rate functions exhibit cyclic behavior as well as a long-term evolutionary trend to model the stochastic process of the failures when the rate of occurrence of the failures varies periodically, for example from day to day or between seasons. In this study, we compare optimal policies under the nonhomogeneous process with/without a cyclic component in the failure rate function. The analytical results for various situations are presented along with numerical examples using simulated data.

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Replacement Policies under Minimal Repair with Cyclic Failure Rates

  • Choi, Sung-Woon;Lee, Sang-Hoon
    • Management Science and Financial Engineering
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    • v.5 no.2
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    • pp.43-53
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    • 1999
  • In many situations, the system failures depend on the operating environmental conditions that vary on time, usually with periodical manners. We use nonhomogeneous Poisson processes whose rate functions exhibit cyclic behavior as well as a long-term evolutionary trend to model the stochastic process of the failures when the rate of occurrence of the failures varies periodically, for example from day to day or between seasons. In this study, we compare optimal policies under the nonho-mogeneous process with/without a cyclic component in the failure rate function. The analytical re-sults for various situations are presented along with numerical examples using simulated data.

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A study on the Dependability Evaluation according to the structure of Duplex system (듀플렉스 시스템의 구조에 따른 신뢰성 평가에 관한 연구)

  • 김현기;강민수;신덕호;권용훈;이기서
    • Proceedings of the KSR Conference
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    • 1998.05a
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    • pp.194-202
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    • 1998
  • This paper shows two models of the duplex system having a fault tolerant system characteristic used in airplane and railway system. The architecture of these systems is based on Mc68000, and we designed the single system, single duplex system, dual system and dual duplex system to evaluate the system characteristic. We calculate the failure rate of components using MIL-SPEC-2l7F and evaluate the reliability, avaliability, safety and MTTF(Mean Time To Failure) of the designed systems by Markov model. We choose our system depending on the developing system characteristic.

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Bayesian Value of Information Analysis with Linear, Exponential, Power Law Failure Models for Aging Chronic Diseases

  • Chang, Chi-Chang
    • Journal of Computing Science and Engineering
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    • v.2 no.2
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    • pp.200-219
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    • 2008
  • The effective management of uncertainty is one of the most fundamental problems in medical decision making. According to the literatures review, most medical decision models rely on point estimates for input parameters. However, it is natural that they should be interested in the relationship between changes in those values and subsequent changes in model output. Therefore, the purpose of this study is to identify the ranges of numerical values for which each option will be most efficient with respect to the input parameters. The Nonhomogeneous Poisson Process(NHPP) was used for describing the behavior of aging chronic diseases. Three kind of failure models (linear, exponential, and power law) were considered, and each of these failure models was studied under the assumptions of unknown scale factor and known aging rate, known scale factor and unknown aging rate, and unknown scale factor and unknown aging rate, respectively. In addition, this study illustrated developed method with an analysis of data from a trial of immunotherapy in the treatment of chronic Granulomatous disease. Finally, the proposed design of Bayesian value of information analysis facilitates the effective use of the computing capability of computers and provides a systematic way to integrate the expert's opinions and the sampling information which will furnish decision makers with valuable support for quality medical decision making.

A Study on the SRGM of Operational Software (운영중인 소프트웨어의 신뢰도 향상 연구)

  • Che Gyu-Shik
    • Proceedings of the Korea Contents Association Conference
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    • 2005.11a
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    • pp.423-427
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    • 2005
  • It might be difficult to reduce failure rate for most of the cases are not available for debugging during operational phase, hence, there are some literatures to study that the failure rate is uniform throughout the operational time. The failure rate reduces and the reliability grows with time regardless of debugging. As a result, the products reliability varies with the time duration of these products in point of customer view. It accumulates the products experience, studies the efact operational method, and then finds and takes action against the fault circumstances. I propose the simple model to represent this status in this paper.

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