• Title/Summary/Keyword: Minimum Reliability

Search Result 464, Processing Time 0.023 seconds

Length-biased Rayleigh distribution: reliability analysis, estimation of the parameter, and applications

  • Kayid, M.;Alshingiti, Arwa M.;Aldossary, H.
    • International Journal of Reliability and Applications
    • /
    • v.14 no.1
    • /
    • pp.27-39
    • /
    • 2013
  • In this article, a new model based on the Rayleigh distribution is introduced. This model is useful and practical in physics, reliability, and life testing. The statistical and reliability properties of this model are presented, including moments, the hazard rate, the reversed hazard rate, and mean residual life functions, among others. In addition, it is shown that the distributions of the new model are ordered regarding the strongest likelihood ratio ordering. Four estimating methods, namely, method of moment, maximum likelihood method, Bayes estimation, and uniformly minimum variance unbiased, are used to estimate the parameters of this model. Simulation is used to calculate the estimates and to study their properties. Finally, the appropriateness of this model for real data sets is shown by using the chi-square goodness of fit test and the Kolmogorov-Smirnov statistic.

  • PDF

Reliability Sampling Plans for Lot Assurance (신뢰성 로트보증 샘플링 검사방식)

  • 김종걸;전봉룡
    • Proceedings of the Safety Management and Science Conference
    • /
    • 2004.05a
    • /
    • pp.145-151
    • /
    • 2004
  • Reliability assurance problem is an important issue in advanced company with good R&D capacity. In Korea, long-term and large-scale project for reliability improvement and certification have been conducted from 2000, 4 years ago. Generally, assurance is composed of system assurance and lot assurance. For reliability lot assurance. it is prerequisite to development reliability sampling plan with time-saving and minimum cost. In this paper, we aim to investigate previous study on reliability lot assurance focused on reliability sampling plans and propose some suggestions for the future study.

  • PDF

Optimal Design of the PSC Beam Reinforcement for Minimum Life-Cycle Cost (최소생애주기비용을 위한 PSC보 보강의 최적설계)

  • Bang, Myung-Seok;Han, Sung-Ho
    • Journal of the Korean Society of Safety
    • /
    • v.23 no.5
    • /
    • pp.125-130
    • /
    • 2008
  • To optimize the selected reinforcing method for application to PSC Beam bridges, the reliability analysis was performed with consideration for the increase and decrease of the member section based on the standard design section, and the minimum life-cycle cost(LCC) was calculated from this analysis with consideration for the aleatory uncertainty. Moreover, the mean, 50%, 75%, and 90% distributions of the analysis results were re-evaluated quantitatively by considering the effect of the epistemic uncertainty. The reliability results gained from the application of the reinforcing method, as well as the optimal design method based on the minimum LCC, will provide more reasonable design criteria for the PSC Beam bridges.

Estimation for a bivariate survival model based on exponential distributions with a location parameter

  • Hong, Yeon Woong
    • Journal of the Korean Data and Information Science Society
    • /
    • v.25 no.4
    • /
    • pp.921-929
    • /
    • 2014
  • A bivariate exponential distribution with a location parameter is proposed as a model for a two-component shared load system with a guarantee time. Some statistical properties of the proposed model are investigated. The maximum likelihood estimators and uniformly minimum variance unbiased estimators of the parameters, mean time to failure, and the reliability function of system are obtained with unknown guarantee time. Simulation studies are given to illustrate the results.

Estimating reliability in discrete distributions

  • Moon, Yeung-Gil;Lee, Chang-Soo
    • Journal of the Korean Data and Information Science Society
    • /
    • v.22 no.4
    • /
    • pp.811-817
    • /
    • 2011
  • We shall introduce a general probability mass function which includes several discrete probability mass functions. Especially, when the random variable X is Poisson, binomial, and negative binomial random variables as some special cases of the introduced distribution, the maximum likelihood estimator (MLE) and the uniformly minimum variance unbiased estimator (UMVUE) of the probability P(X ${\leq}$ t) are considered. And the efficiencies of the MLE and the UMVUE of the reliability ar compared each other.

Cross Layer Optimal Design with Guaranteed Reliability under Rayleigh block fading channels

  • Chen, Xue;Hu, Yanling;Liu, Anfeng;Chen, Zhigang
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.7 no.12
    • /
    • pp.3071-3095
    • /
    • 2013
  • Configuring optimization of wireless sensor networks, which can improve the network performance such as utilization efficiency and network lifetime with minimal energy, has received considerable attention in recent years. In this paper, a cross layer optimal approach is proposed for multi-source linear network and grid network under Rayleigh block-fading channels, which not only achieves an optimal utility but also guarantees the end-to-end reliability. Specifically, in this paper, we first strictly present the optimization method for optimal nodal number $N^*$, nodal placement $d^*$ and nodal transmission structure $p^*$ under constraints of minimum total energy consumption and minimum unit data transmitting energy consumption. Then, based on the facts that nodal energy consumption is higher for those nodes near the sink and those nodes far from the sink may have remaining energy, a cross layer optimal design is proposed to achieve balanced network energy consumption. The design adopts lower reliability requirement and shorter transmission distance for nodes near the sink, and adopts higher reliability requirement and farther transmission distance for nodes far from the sink, the solvability conditions is given as well. In the end, both the theoretical analysis and experimental results for performance evaluation show that the optimal design indeed can improve the network lifetime by 20-50%, network utility by 20% and guarantee desire level of reliability.

Optimization of Redundancy by using Genetic Algorithm for Reliability of Plant Protection Controller (플랜트 보호 제어기의 신뢰도분석과 유전알고리듬을 이용한 다중성의 최적화)

  • Yu, Dong-Wan;Kim, Dong-Hun;Park, Hui-Yun;Gu, In-Su;Seo, Bo-Hyeok
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.49 no.9
    • /
    • pp.504-511
    • /
    • 2000
  • The reliability of system is to become a important concern in developed industry. The controller based on the reliability is so important position. PPC(Plant Protection Controller) is for plant protection and human life by fault detection and control action against the transient condition of plant. The protection system of the nuclear reactor and chemical reactor are representative of PPC. This paper presents analysis of PPC relaibility formal problem statement of optimal redundancy based on the reliability for PPC. And the problem is optimized by genetic algorithm, The genetic algorithms is useful algorithm in case of large searching complex gradient existence local minimum. The genetic algorithms is useful algorithm is case of large searching complex gradient existence local minimum. The ability and effectiveness of the proposed optimization is demonstrated by the target reliability of one channel. PPC. using the failure rate based on the MIL-HDBK-217

  • PDF

Minimum Row Weight and Polar Spectrum Based Puncture Polar Codes Construction Algorithm

  • Liu Daofu;Guo Rui
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.17 no.8
    • /
    • pp.2157-2169
    • /
    • 2023
  • In order to handle the problem that puncture patterns will change the position distribution of original information bits and frozen bits in polar codes, which affects performance of puncture polar codes further, a minimum row weight and polar spectrum based puncture polar codes construction algorithm (called PA-MRWP) is proposed in this paper. The algorithm calculates row weight of generator matrix and sorts the row weight in ascending order first. Next, the positions with the minimum row weight are selected as initial puncture positions. If the rows with the same row weight cannot all be punctured, polar spectrum based auxiliary puncture scheme is used. In sub-channels with the same row weight, rows corresponding to the polarized sub-channels with higher reliability are selected as puncture positions to construct puncture vector, and the reliability is calculated based on polar spectrum. It is actually a two-step selection strategy, the proposed minimum row weight puncture (MRWP) algorithm is used for primary selection and polar spectrum based auxiliary puncture is used for adjustment. Simulation results show that, compared with worst quality puncture (WQP) algorithm, the proposed PA-MRWP algorithm and Gaussian approximation-aided minimum row weight puncture (GA-MRWP) algorithm provide gains of about 0.46 dB and 0.29 dB at bit error rate (BER) of 10-4, respectively when code length N=400, code rate R=1/2. In addition, the proposed puncture algorithms improve the BER performance significantly with respect to quasi-uniform puncture (QUP) algorithm.

Economic Reliability Group Acceptance Sampling Based on Truncated Life Tests Using Pareto Distribution of the Second Kind

  • Aslam, Muhammad;Mughal, Abdur Razzaque;Hanif, Muhammad;Ahmad, Munir
    • Communications for Statistical Applications and Methods
    • /
    • v.17 no.5
    • /
    • pp.725-731
    • /
    • 2010
  • Economic Reliability test plans(ERTP) are proposed considering that the life time of the submitted items follow the Pareto distribution of the second kind. For various specified acceptance number, sample size and producer's risk, a minimum test termination time is obtained. A comparison of proposed plan has been made with the existing plan developed by Aslam et al. (2010). The results are explained by tables and example.

Reliability Estimation for a Shared-Load System Based on Freund Model

  • Hong, Yeon-Woong;Lee, Jae-Man;Cha, Young-Joon
    • Journal of the Korean Data and Information Science Society
    • /
    • v.6 no.2
    • /
    • pp.1-7
    • /
    • 1995
  • This paper considers the reliability estimation of a two-component shared-load system based on Freund model. Maximum likelihood estimator, order restricted maximum likelihood estimator and uniformly minimum variance unbiased estimator of the reliability function for the system are obtained. Performance of three estimators for moderate sample sizes is studied by simulation.

  • PDF