• Title/Summary/Keyword: Distribution reliability

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Cubic normal distribution and its significance in structural reliability

  • Zhao, Yan-Gang;Lu, Zhao-Hui
    • Structural Engineering and Mechanics
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    • v.28 no.3
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    • pp.263-280
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    • 2008
  • Information on the distribution of the basic random variable is essential for the accurate analysis of structural reliability. The usual method for determining the distributions is to fit a candidate distribution to the histogram of available statistical data of the variable and perform approximate goodness-of-fit tests. Generally, such candidate distribution would have parameters that may be evaluated from the statistical moments of the statistical data. In the present paper, a cubic normal distribution, whose parameters are determined using the first four moments of available sample data, is investigated. A parameter table based on the first four moments, which simplifies parameter estimation, is given. The simplicity, generality, flexibility and advantages of this distribution in statistical data analysis and its significance in structural reliability evaluation are discussed. Numerical examples are presented to demonstrate these advantages.

Reliability and Validity of a Force-Sensing Resistor for the Measurement of Static Hindlimb Weight Distribution in Beagle Dogs

  • Heo, Su-Young;Jeong, Heejun;Jeong, Jaemin;Jeong, Seong Mok;Lee, HaeBeom
    • Journal of Veterinary Clinics
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    • v.35 no.5
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    • pp.206-210
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    • 2018
  • The purpose of this study was to evaluate the reliability and validity of the Force-Sensing Resistor (FSR) for measurement of static hindlimb weight distribution in beagle dogs and to compare these results to a Digital Weighing Scale (DWS). Nine healthy beagle dogs were recruited for this study. Static weight distribution was evaluated four times at intervals of 5 days with each device and two observers to calculate the intra- and interobserver reliability. The intraclass correlation coefficient (ICC) values of the FSR for intraobserver reliability were moderate to good (0.74). The results for the DWS showed poor to moderate (0.56) ICC values for intraobserver reliability. The ICC values for interobserver reliability were 0.53 and 0.61 for FSR and DWS, respectively, indicating poor to moderate agreement. Our findings suggest that the Force-Sensing Resistor can be used to measure static weight distribution in veterinary medicine. However, caution should be taken when comparing measured values of static weight distribution obtained utilizing both the FSR and DWS due to their low positive correlation (R = 0.41, p < 0.01).

Application of Management Reliability Index for Water Distribution System Assessment

  • Choi, Taeho;Lee, Sewan;Kim, Dooil;Kim, Mincheol;Koo, Jayong
    • Environmental Engineering Research
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    • v.19 no.2
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    • pp.117-122
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    • 2014
  • Indexes of safety, restoration, damage impact, and management reliability were developed to assess reliability of drinking water distribution networks (DWDNs) management. The developed indexes were applied to evaluate the reliability of the pipeline management stage during unexpected mechanical and hydraulic accidents of components. The results were used to support the decision-making process in effective management and maintenance by enhancing the administrator's system understanding and by helping to create appropriate maintenance and management policies. The results of this study indicated that application of a management reliability index to assess DWDNs reliability may help create a more effective plan for establishing DWDNs management and maintenance.

Fuzzy system reliability using intuitionistic fuzzy Weibull lifetime distribution

  • Kumar, Pawan;Singh, S.B.
    • International Journal of Reliability and Applications
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    • v.16 no.1
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    • pp.15-26
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    • 2015
  • Present study investigates the fuzzy reliability of some systems using intuitionistic fuzzy Weibull lifetime distribution, in which the lifetime parameters are assumed to be fuzzy parameter due to uncertainty and inaccuracy of data. Expressions for fuzzy reliability, fuzzy mean time to failure, fuzzy hazard function and their ${\alpha}$-cut have been discussed when systems follow intuitionistic fuzzy Weibull lifetime distribution. A numerical example is also taken to illustrate the methodology to calculate the fuzzy reliability characteristics of systems.

On Reliability and Ratio in the Beta Case

  • Woo, Jung-Soo
    • Communications for Statistical Applications and Methods
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    • v.16 no.3
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    • pp.541-547
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    • 2009
  • We consider distribution, reliability and moment of ratio in two independent beta random variables X and Y, and reliability and $K^{th}$ moment of ratio are represented by a mathematical generalized hypergeometric function. We introduce an approximate maximum likelihood estimate(AML) of reliability and right-tail probability in the beta distribution.

Implementation of Reliability Measure and Distribution (신뢰성 척도 및 분포의 적용)

  • Choi Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.7 no.5
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    • pp.175-184
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    • 2005
  • This paper presents the practial guide to implementation of reliability distributions. The applicability and property of various reliability distribution will then be illustrated. Main objective of this study is to present how to use reliability distributions summary with respect to the total life cycle management. This paper provides insight info the good aspects of using relability distributions properly.

Reliability In a Half-Triangle Distribution and a Skew-Symmetric Distribution

  • Woo, Jung-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.2
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    • pp.543-552
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    • 2007
  • We consider estimation of the right-tail probability in a half-triangle distribution, and also consider inference on reliability, and derive the k-th moment of ratio of two independent half-triangle distributions with different supports. As we define a skew-symmetric random variable from a symmetric triangle distribution about origin, we derive its k-th moment.

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Reliability Evaluation of Power Distribution Systems Considering the Momentary Interruptions-Application of Monte Carlo Method (순간정전을 고려한 배전계통에서의 신뢰도 평가-몬테카를로 방식의 적용)

  • Sang-Yun Yun;Jae-Chul Kim
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.1
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    • pp.9-16
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    • 2003
  • In this paper, we propose a reliability evaluation method considering the momentary interruptions of power distribution systems. The results of research are concentrated on two parts. One is the analytic and probabilistic reliability evaluation of power distribution system considering the momentary interruptions and the other is the reliability cost evaluation that unifies the cost of sustained and momentary interruptions. This proposed reliability cost evaluation methodology is also divided into the analytic and probabilistic approach and the time sequential Monte Carlo method is used for the probabilistic method. The proposed methods are tested using the modified RBTS (Roy Billinton Test System) form and historical reliability data of KEPCO (Korea Electric Power Corporation) system. Through the case studies, it is verified that the proposed reliability evaluation and its cost/worth assessment methodologies can be applied to the actual reliability studies.

Reliability Updates of Driven Piles Using Proof Pile Load Test Results (검증용 정재하시험 자료를 이용한 항타강관말뚝의 신뢰성 평가)

  • Park, Jae-Hyun;Kim, Dong-Wook;Kwak, Ki-Seok;Chung, Moon-Kyung;Kim, Jun-Young;Chung, Choong-Ki
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.324-337
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    • 2010
  • For the development of load and resistance factor design, reliability analysis is required to calibrate resistance factors in the framework of reliability theory. The distribution of measured-to-predicted pile resistance ratio was constructed based on only the results of load tests conducted to failure for the assessment of uncertainty regarding pile resistance and used in the conventional reliability analysis. In other words, successful pile load test (piles resisted twice their design loads without failure) results were discarded, and therefore, were not reflected in the reliability analysis. In this paper, a new systematic method based on Bayesian theory is used to update reliability index of driven steel pile piles by adding more pile load test results, even not conducted to failure, into the prior distribution of pile resistance ratio. Fifty seven static pile load tests performed to failure in Korea were compiled for the construction of prior distribution of pile resistance ratio. Reliability analyses were performed using the updated distribution of pile resistance ratio and the total load distribution using First-order Reliability Method (FORM). The challenge of this study is that the distribution updates of pile resistance ratio are possible using the load test results even not conducted to failure, and that Bayesian update are most effective when limited data are available for reliability analysis or resistance factors calibration.

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A Study on the Optimal Investment Method for Distribution Systems Interconnected with Dispersed Generations (분산전원이 연계된 배전계통의 최적 설비투자 방안에 관한 연구)

  • Rho, Dae-Seok
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.12
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    • pp.2179-2185
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    • 2008
  • This paper deals with the optimal investment method for distribution facilities, based on the analytical approach for the reliability assessment in distribution systems interconnected with new dispersed generations. The existing approach can estimate the expected reliability performance of distribution systems by a direct assessment of the configuration of the systems using the reliability indexes such as NDP(Non-Delivery Power) and NDE(Non-Delivery Energy). The indexes can only consider the number and configuration of the load, but can not consider the characteristics of the load which is the one of the most important factor in the investment cost for the distribution systems. Therefore, this paper presents the new performance indexes for the investment of the distribution facilities considering both the expected interruption cost for the load section and the operation characteristics of dispersed generations. The results from a case study show that the proposed methods can be a practical tool for the voltage management in distribution systems including dispersed sources.