北京航空航天大学学报 ›› 2017, Vol. 43 ›› Issue (3): 602-607.doi: 10.13700/j.bh.1001-5965.2016.0195

• 论文 • 上一篇    下一篇

故障小修下瞬时可用度的波动分析

任思超1, 杨懿2, 陈洋2, 康锐2   

  1. 1. 南京理工大学 理学院, 南京 210094;
    2. 北京航空航天大学 可靠性与系统工程学院, 北京 100083
  • 收稿日期:2016-03-11 出版日期:2017-03-20 发布日期:2016-05-23
  • 通讯作者: 杨懿,E-mail:yang_cissy@163.com E-mail:yang_cissy@163.com
  • 作者简介:任思超,男,硕士研究生。主要研究方向:可靠性分析与建模、应用数学。;杨懿,女,博士,副教授。主要研究方向:可靠性分析、可修系统以及控制科学工程。;康锐,男,硕士,教授,博士生导师。主要研究方向:确信可靠性理论与方法、信息物理系统可靠性建模与仿真、可靠性系统工程方法论故障控制论。
  • 基金资助:
    国家自然科学基金(61104132,61573041,61573043)

Fluctuation analysis of instantaneous availability under minor repair

REN Sichao1, YANG Yi2, CHEN Yang2, KANG Rui2   

  1. 1. School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, China;;
    2. School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2016-03-11 Online:2017-03-20 Published:2016-05-23

摘要: 基于修理延迟下单部件三状态(工作、修理延迟、修理)可修系统的更新模型,提出了带有故障小修的三状态(工作、故障小修、修理)更新模型。运用简捷的方法把更新方程化为微分方程得到其解析表达式。结果显示模型的变化使得稳态可用度提升。使用一套波动理论,其中包括基础的波动定义和相关的波动判定引理。依此给出了瞬时可用度波动产生的条件。通过固定故障率,分析修复率对瞬时可用度波动的影响。同时结合实际背景,提供了抑制波动的方法,即控制平均修理时间小于平均故障时间的1/4。仿真结果与理论相一致。

关键词: 瞬时可用度, 更新模型, 波动理论, 故障小修, 波动抑制

Abstract: The renewal model of one-unit repairable system with three states (up, minor repair, repair) is put forward on the basis of the renewal model with three states (up, delay-repair, repair). The steady availability is improved in the new model. The renewal equation in the model is transformed into the ordinary differential equation to obtain the analytical expression of instantaneous availability. A novel set of fluctuation theory including the basic definition and decision lemma of fluctuation function is used to analyze the fluctuation of instantaneous availability, which gives conditions for fluctuation existence of instantaneous availability. Combined with the practical background, conditions are used to show the influence of different rates on fluctuation when fault rate is fixed, which provides the method of fluctuation suppression. The method is that mean to repair time is controlled to be less than a quarter of mean to failure time. Simulation results are in agreement with theoretical results.

Key words: instantaneous availability, renewal model, fluctuation theory, minor repair, fluctuation suppression

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