Reliability analysis of a random fuzzy repairable parallel system with two non-identical components

Liu, Ying; Li, Xiaozhong; Du, Zheyuan

doi:10.3233/ifs-141212

Cited by 9 publications

(1 citation statement)

References 19 publications

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“…Kumar and Saini [14] proposed a stochastic model for single unit system to assess the impact of preventive maintenance under Weibull distribution. Liu et al [15]conducted the reliability evaluation of a system of non-identical units under fuzzy environment. Kumar et al [16] studied the effect of hot and cold standby redundancy on availability of thermal power plants.…”

Section: Introductionmentioning

confidence: 99%

Stochastic modeling and parameter estimation of turbogenerator unit of a thermal power plant under classical and Bayesian inferential framework

Kumar,

Chaudhary,

Kumar

et al. 2023

PLoS ONE

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The work reported in present study deals with the development of a novel stochastic model and estimation of parameters to assess reliability characteristics for a turbogenerator unit of thermal power plant under classical and Bayesian frameworks. Turbogenerator unit consists of five components namely turbine lubrication, turbine governing, generator oil system, generator gas system and generator excitation system. The concepts of cold standby redundancy and Weibull distributed random variables are used in development of stochastic model. The shape parameter for all the random variables is same while scale parameter is different. Regenerative point technique and semi-Markov approach are used for evaluation of reliability characteristics. Sufficient repair facility always remains available in plant as well as repair done by the repairman is considered perfect. As the life testing experiments are time consuming, so to highlight the importance of proposed model Monte Carlo simulation study is carried out. A comparative analysis is done between true, classical and Bayesian results of MTSF, availability and profit function.

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Section: Introductionmentioning

confidence: 99%

Stochastic modeling and parameter estimation of turbogenerator unit of a thermal power plant under classical and Bayesian inferential framework

Kumar,

Chaudhary,

Kumar

et al. 2023

PLoS ONE

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MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system

2017

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In many cases, redundant systems are beset by both independent and dependent failures. Ignoring dependent variables in MTBF evaluation of redundant systems hastens the occurrence of failure, causing it to take place before the expected time, hence decreasing safety and creating irreversible damages. Common cause failure (CCF) and cascading failure are two varieties of dependent failures, both leading to a considerable decrease in the MTBF of redundant systems. In this paper, the alpha-factor model and the capacity flow model are combined so as to incorporate CCF and cascading failure in the evaluation of MTBF of a 2-out-of-3 repairable redundant system. Then, using a transposed matrix, the MTBF function of the system is determined. Due to the fact that it is difficult to estimate the independent and dependent failure rates, industries are interested in considering uncertain failure rates. Therefore, fuzzy theory is used to incorporate uncertainty into the model presented in this study, and a nonlinear programming model is used to determine system's MTBF. Finally, in order to validate the proposed model, evaluation of MTBF of the redundant system of a centrifugal water pumping system is presented as a practical example.

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Reliability Mathematical Models of Repairable Systems With Uncertain Lifetimes and Repair Times

Liu

et al. 2018

IEEE Access

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Reliability analysis of a random fuzzy repairable parallel system with two non-identical components

Cited by 9 publications

References 19 publications

Stochastic modeling and parameter estimation of turbogenerator unit of a thermal power plant under classical and Bayesian inferential framework

Stochastic modeling and parameter estimation of turbogenerator unit of a thermal power plant under classical and Bayesian inferential framework

MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system

Reliability Mathematical Models of Repairable Systems With Uncertain Lifetimes and Repair Times

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