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考虑老化因素的串联系统不完全维修决策优化
引用本文:李志强,徐廷学,顾钧元,付霖宇,安进.考虑老化因素的串联系统不完全维修决策优化[J].控制与决策,2019,34(4):827-833.
作者姓名:李志强  徐廷学  顾钧元  付霖宇  安进
作者单位:海军航空大学 兵器科学与技术系,山东 烟台,264001;海军航空大学 兵器科学与技术系,山东 烟台,264001;海军航空大学 兵器科学与技术系,山东 烟台,264001;海军航空大学 兵器科学与技术系,山东 烟台,264001;海军航空大学 兵器科学与技术系,山东 烟台,264001
基金项目:国家自然科学基金项目(51605487);中国博士后科学基金项目(2016M592965);山东省自然科学基金项目(ZR2016FQ03).
摘    要:针对Markov过程和虚拟役龄方法难以全面描述系统不完全维修的问题,构建基于准更新过程的串联系统可用度分析模型,提出平均故障间隔时间和平均维修间隔时间确定方法;引入运行时间缩减因子、维修时间增长因子描述考虑老化因素的不完全维修过程,确定系统可用度指标确定方法;根据单位时间维修成本、系统平均运行时间约束条件,确定系统在不同指标下的不完全维修次数.以某控制系统为例,应用传统方法验证不完全维修条件下可用度确定方法的有效性,并以维修成本、运行时间为约束确定不同条件下的不完全维修次数,为维修决策制定提供理论指导.

关 键 词:Markov过程  准更新过程  串联系统  系统可用度  老化因素  不完全维修

Optimal maintenance policies for series systems under imperfect repair considering aging factor
LI Zhi-qiang,XU Ting-xue,GU Jun-yuan,FU Lin-yu and AN Jin.Optimal maintenance policies for series systems under imperfect repair considering aging factor[J].Control and Decision,2019,34(4):827-833.
Authors:LI Zhi-qiang  XU Ting-xue  GU Jun-yuan  FU Lin-yu and AN Jin
Affiliation:Department of Ordnance Science and Technology,Naval Aviation University,Yantai264001,China,Department of Ordnance Science and Technology,Naval Aviation University,Yantai264001,China,Department of Ordnance Science and Technology,Naval Aviation University,Yantai264001,China,Department of Ordnance Science and Technology,Naval Aviation University,Yantai264001,China and Department of Ordnance Science and Technology,Naval Aviation University,Yantai264001,China
Abstract:Aiming at the difficulty of Markov process and virtual age in describing systems under imperfect repair comprehensively, a model for a series system to determine its availability is established on the base of quasi renewal process. Methods for obtaining the mean time between failures and mean time between repairs are proposed. By introducing the operation time reduction factor and repair time increasing factor, availability parameters of systems under imperfect repair considering the aging factor are determined. According to maintenance costs per unit of time and average functioning time, the times of performing imperfect repair can be calculated. Finally, a control unit is used as an example. A traditional method about availability is applied to verify the effectiveness of the proposed method under imperfect repair. And imperfect repair times are calculated under different conditions including maintenance costs and operation time, which can offer suggestions for maintenance decision making.
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