基于截断δ-冲击模型的不完全维修更换策略  

Strategy of Imperfect Maintenance Replacement Based on Censored Shock Model

作　　者：贺澜 孟宪云[1] HE Lan;MENG Xian-yun(School of Science,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《运筹与管理》2019年第8期100-106,共7页Operations Research and Management Science

基　　金：河北省教育厅科学研究计划;河北省高等学校自然科学研究指导项目(Z2014123);全国统计科学研究计划项目(2010LC33)

摘　　要：本文在截断δ-冲击模型的基础上,考虑了因系统劣化而导致的冲击失效门限值与维修时间的变化,扩充失效状态,从而提出一种新的截断δ-冲击模型。以最小费用为目标,稳态可用度为约束条件,建立N型更换策略的不完全维修更换策略模型,并给出三种常用冲击到达间隔分布的期望寿命。最后通过算例验证模型的有效性,并对参数进行灵敏度分析。In this paper, a new censored shock model is proposed based on traditional censored shock model, which takes into account the failure of extension state for the change of the failure threshold value and the maintenance time caused by the deterioration of the system. Taking the minimum cost as the goal and the steady-state availability as the constraint condition, a model of imperfect replacement strategy for replacement strategy N is established, and three kinds of common lifetime expectation of shock arrival interval distribution are given. Finally, the validity of the model is verified by an example, and the sensitivity analysis of the parameters is carried out.

关 键 词：截断δ-冲击模型 N型更换策略 失效门限值 失效状态 几何过程 

分 类 号：O224[理学—运筹学与控制论]