• Title/Summary/Keyword: Minimum Reliability

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Sample size determination for conducting a pilot study to assess reliability of a questionnaire

  • Mohamad Adam Bujang;Evi Diana Omar;Diana Hui Ping Foo ;Yoon Khee Hon
    • Restorative Dentistry and Endodontics
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    • v.49 no.1
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    • pp.3.1-3.8
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    • 2024
  • This article is a narrative review that discusses the recommended sample size requirements to design a pilot study to assess the reliability of a questionnaire. A list of various sample size tables that are based on the kappa agreement test, intra-class correlation test and Cronbach's alpha test has been compiled together. For all calculations, type I error (alpha) was set at a maximum value of 0.05, and power was set at a minimum value of 80.0%. For the kappa agreement test, intra-class correlation test, and Cronbach's alpha test, the recommended minimum sample size requirement based on the ideal effect sizes shall be at least 15, 22, and 24 subjects respectively. By making allowances for a non-response rate of 20.0%, a minimum sample size of 30 respondents will be sufficient to assess the reliability of the questionnaire. The clear guideline of minimum sample size requirement for the pilot study to assess the reliability of a questionnaire is discussed and this will ease researchers in preparation for the pilot study. This study provides justification for a minimum requirement of a sample size of 30 respondents specifically to test the reliability of a questionnaire.

A Segment-based Minimum Cutset Method for Estimating the Reliability of Water Distribution Systems (상수관망의 신뢰도 산정을 위한 Segment 기반의 Minimum Cutset 방법)

  • Jun, Hwan-Don;Park, Jae-Il;Baek, Chun-Woo;Kim, Joong-Hoon
    • Journal of Korea Water Resources Association
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    • v.40 no.9
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    • pp.735-742
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    • 2007
  • In this study, a methodology which is based on segments and minimum outsets to estimate the reliability of a real water distribution system efficiently and accurately is suggested. The current reliability assessment models based on minimum cutset consider a pipe as only area impacted by a pipe failure which incurs underestimation of pipe failure impact. In contrary, the suggested methodology adopts "segment" and "unintended isolation" with the hydraulic pressure failure area to define the actual service interruption area in a water distribution system due to a pipe failure, which is different from the Previous reliability estimating methodologies. In addition, a minimum cutset is defined as a single segment incurring abnormal operating conditions and the success mode approach is used to account for the probability of multiple failure combinations of minimum outsets. The model considers numbers and locations of on-off valves when the service interruption area is defined. Once the methodology is applied to a real water distribution system, it is possible to define actual service interruption areas and using the defined areas, the reliability of the water distribution system is estimated reliably, compared with the previous reliability assessment methodologies.

Reliability of TLP tethers under extreme tensions

  • Siddiqui, N.A.;Ahmad, Suhail
    • Structural Engineering and Mechanics
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    • v.16 no.3
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    • pp.317-326
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    • 2003
  • The tension leg platform (TLP) is a moored floating offshore structure whose buoyancy is more than its weight. The mooring system, known as tethers, is vulnerable to failure due to extreme (maximum and minimum) tensions. In the present study the reliability of these tethers under maximum and minimum tension (ultimate limit state) has been studied. Von-Mises failure criteria has been adopted to define the failure of a tether against maximum tension. The minimum tension failure criteria has been assumed to meet when the tethers slack due to loss of tension. First Order Reliability method (FORM) has been adopted for reliability assessment. The reliability, in terms of reliability index, and probability of failure has been obtained for twelve sea states. The probabilities of failure so obtained for different sea states have been adopted for the calculation of annual and life time probabilities of failure.

A Consideration on Easter Convergence and Higher Reliability of The New Blind Equalization Algorithm using The Minimum Entropy Method

  • Matsumoto, Hiroki;Kusakari, Shinya;Furukawa, Toshihiro
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1467-1470
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    • 2002
  • The minimum entropy method is one of blind equalization method. A conventional algorithm using the minimum entropy method has two problems : slower convergence and lower reliability of recovered signals. We propose a new algorithm using the minimum entropy method for solving the two problems. Pina31y, we confirm the validity of the proposed algorithm through computer simulation.

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On Optimal Estimates of System Reliability (시스템 신뢰성(信賴性)의 최적추정(最適推定))

  • Kim, Jae-Ju
    • Journal of Korean Society for Quality Management
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    • v.7 no.2
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    • pp.7-10
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    • 1979
  • In this paper the Rao-Blackwell and Lehmann-$Scheff{\acute{e}}$ Theorem are used to drive the minimum variance unbiased estimators of system reliability for a number of distributions when a system consists of n Components whose random life times are assumed to be independent and identically distributed. For the case of a negative exponential life time, we obtain the maximum likelihood estimator of the system reliability and compair it with minimum variance unbiased estimator of the system reliability.

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Developing a Non-Periodic Preventive Maintenance Model Guaranteeing the Minimum Reliability (최소 신뢰도를 보장하는 비 주기적 예방보전 모형 개발)

  • Lee, Juhyun;Ahn, Suneung
    • Journal of Applied Reliability
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    • v.18 no.2
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    • pp.104-113
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    • 2018
  • Purpose: This paper proposes the non-periodic preventive maintenance policy based on the level of cumulative hazard intensity. We aim to construct a cost-effectiveness on the proposed model with relaxing the constraint on reliability. Methods: We use the level of cumulative hazard intensity as a condition variable, instead of reliability. Such a level of cumulative hazard intensity can derive the reliability which decreases as the frequency of preventive maintenance action increases. We also model the imperfect preventive maintenance action using the proportional age setback model. Conclusion: We provide a numerical example to illustrate the proposed model. We also analyze how the parameters of our model affect the optimal preventive maintenance policy. The results show that as long as high reliability is guaranteed, the inefficient preventive maintenance action is performed reducing the system operation time. Moreover, the optimal value of the proposed model is sensitive to changes in preventive maintenance cost and replacement cost.

THE MINIMUM VARIANCE UNBIASED ESTIMATION OF SYSTEM RELIABILITY

  • Park, C.J.;Kim, Jae-Joo
    • Journal of Korean Institute of Industrial Engineers
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    • v.4 no.1
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    • pp.29-32
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    • 1978
  • We obtain the minimum variance unbiased estimate of system reliability when a system consists of n components whose life times are assumed to be independent and identically distributed either negative exponential or geometric random variables. For the case of a negative exponential life time, we obtain the minimum variance unbiased estimate of the probability density function of the i-th order statistic.

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Some properties of reliability, ratio, maximum and minimum in a bivariate exponential distribution with a dependence parameter

  • Lee, Jang Choon;Kang, Jun Ho
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.1
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    • pp.219-226
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    • 2014
  • In this paper, we derived estimators of reliability P(Y < X) and the distribution of ratio in the bivariate exponential density. We also considered the means and variances of M = max{X,Y} and m = min{X,Y}. We finally presented how E(M), E(m), Var(M) and Var(m) are varied with respect to the ones in the bivariate exponential density.

A Mixture of Multivariate Distributions with Pareto in Reliability Models

  • El-Gohary Awad
    • International Journal of Reliability and Applications
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    • v.7 no.1
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    • pp.55-69
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    • 2006
  • This paper presents a new class of multivariate distributions with Pareto where dependence among the components is characterized by a latent random variable. The new class includes several multivariate and bivariate models of Marshall and Olkin type. It is found the bivariate distribution with Pareto is positively quadrant dependent and its mixture. Some important structural properties of the bivariate distributions with Pareto are discussed. The distribution of minimum in a competing risk Pareto model is derived.

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Impact of Maintenance Outage Rate Modeling on the Minimum Reserve Rate in Long-term Generation Expansion Planning (예방정비율(MOR) 모델링 방식이 수급계획의 최소설비예비율 산정에 미치는 영향)

  • Kim, Hyoungtae;Lee, Sungwoo;Kim, Wook
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.12
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    • pp.1712-1720
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    • 2017
  • In South Korea, minimum reserve rate, which is to satisfy reliability standard, has been determined by simulation result using WASP. But, it is still controversial whether the level of minimum reserve rate is adequate. Thus, in this study, various analyses of minimum reserve rate are being conducted. WASP uses the probabilistic simulation technique to evaluate whether reliability standard is satisfied. In this process, forced outage rate and maintenance periods of each generator play important roles. Especially, the long-term plan can be varied depending on how maintenance periods deal with. In order to model maintenance periods in the probabilistic simulation technique, WASP uses derating method. However, broad analyses have to be conducted because there are various ways including derating method to model maintenance periods which result in different results. Therefore, in this paper, 3 different maintenance outage rate modeling methods are applied to arbitrarily modeled system based on the basic plan for long-term electricity supply and demand of South Korea. Results show impact of each modeling method on minimum reserve rate.