Stochastic properties and reliability measures of discrete-time semi-Markovian systems

Yi He; Cui Lirong; Shen Jingyuan; Li Yan

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Stochastic properties and reliability measures of discrete-time semi-Markovian systems

机译：离散半马尔可夫系统的随机性质和可靠性测度

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In the present paper, a discrete-time semi-Markovian system is studied for both theoretical and practical demands. The state space of a semi-Markov chain is divided into three subsets, namely working state subset, changeable state subset and failure state subset, resulting from applications for this kind of models in degradation analysis on system performances. Performances of changeable states depend on recent evolutions of the system, including the immediate history and future. The Z-transform is used to investigate stochastic properties of the semi-Markovian system and distributions of some sojourn time lengths, based on which, for example, the working period length and failure period length, are discussed. Reliability measures such as reliability, point availability and interval availability are derived for the system. Besides, two new reliability measures, point covering availability and interval covering availability, are discussed for discrete-time semi-Markovian systems for the first time. Preventive maintenance and corrective maintenance from outside of the system are also investigated with respect to related costs. Finally, a numerical example is given to illustrate the results obtained in the paper. Those models and results presented in the paper can be used in reliability, maintainability, supply chain management and other areas.

机译：本文针对理论和实际需求研究了离散时间半马尔可夫系统。半马尔可夫链的状态空间分为三个子集，即工作状态子集，可变状态子集和故障状态子集，这是由于此类模型在系统性能退化分析中的应用而产生的。可变状态的性能取决于系统的最新发展，包括近期的历史和未来。 Z变换用于研究半马尔可夫系统的随机性质以及一些停留时间长度的分布，在此基础上讨论了工作周期长度和故障周期长度。为系统导出了诸如可靠性，点可用性和间隔可用性之类的可靠性度量。此外，首次针对离散时间半马尔可夫系统讨论了两个新的可靠性度量，即点覆盖可用性和间隔覆盖可用性。还从相关成本方面研究了系统外部的预防性维护和纠正性维护。最后，给出了一个数值例子来说明本文获得的结果。本文中介绍的那些模型和结果可用于可靠性，可维护性，供应链管理和其他领域。

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来源
《Reliability Engineering & System Safety》 |2018年第8期|162-173|共12页
作者
Yi He; Cui Lirong; Shen Jingyuan; Li Yan;
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作者单位

Beijing Inst Technol, Sch Math & Stat, Beijing, Peoples R China;

Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China;

Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China;

Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Semi-Markov chain; Changeable states; Stochastic properties; Reliability measures; Maintenance policy;

机译：半马尔可夫链;可变状态;随机性;可靠性措施;维护策略;

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2. Semi-Markovian reliability models for systems with testable components and general test/outage times [J] . I.A. Papazoglou Reliability Engineering & System Safety . 2000,第2期

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机译：数字控制系统的实施技术，控制和动态系统的第70卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,390 PP，ISBN 0-12-0127702，99.00美元离散时间控制系统分析和设计，控制和动态系统的第71卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,410 PP，ISBN 0-12-0127715，99.00美元离散时间控制系统实现技术，控制和动态系统的第72卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,388 pp，ISBN 0-12-0127725，99.00美元的离散 - 时间随机控制系统，控制和动态系统的VOLUME 73：前进，理论与应用，C Leondes（ED），学术出版社，圣地亚哥，1995年，380页，ISBN 0-12-0127734，在离散和$ 99.00技术。连续稳健的系统，控制和动态系统的第74卷：理论和应用的进步，C. leondes（ed），学术出版社，圣地亚哥，1995,412 pp。，ISBN 0-12-0127741，99.00美元

Stochastic properties and reliability measures of discrete-time semi-Markovian systems

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