考虑故障率交互作用的双组件系统周期性预防维护策略  

Periodic preventive maintenance policy for a two-unit system with failure rate interaction

作　　者：潘尔顺[1] 陆志强[1] 周剑[1] 

机构地区：[1]上海交通大学机械与动力工程学院,上海200240

出　　处：《系统工程理论与实践》2011年第3期537-543,共7页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(50875168;50905115);国家高技术研究发展计划(863计划)(2009AA04300)

摘　　要：提出并构建了一个改善因子模型来描述设备维护的改善效果,该模型综合考虑了维护成本、设备年龄以及维护过程学习效应等影响因素.考虑两组件间故障率存在交互作用且随着交互作用次数递增,引入一个调节因子来描述组件间故障率的交互影响.此调节因子为其中一个组件的累计故障次数的非减函数,用该调节因子施加于另一组件的故障率函数.在维护的策略上,考虑在第N次预防维护时将系统整体置换,预防维护间隔期内若发生故障则以小修处理,由此构建一个考虑故障率交互作用的周期性预防维护策略模型.通过引进相关成本项目推导出长期单位时间成本,以确定最佳的预防维护周期和进行系统置换前的预防维护次数,使得长期单位时间平均成本为最小.最后给出了一个数值算例,研究结果表明:考虑组件故障率交互作用得到的最佳维护策略是有效的,该策略完善了预防维护管理的方法体系.An improvement factor model is first constructed based on maintenance cost, system＇s age and learning effect to describe the effect of periodic preventive maintenance. Considering the failure rate interaction, an adjustment factor, as a non-decreasing function over the cumulative failure number of one unit, is used to reflect the interaction effect and influence the failure rate of the other unit. The system will be replaced when the times of preventive maintenance reaches N and be operated as minimal repairment if the system can not operate during preventive maintenance period. The periodic preventive maintenance model is therefore put forward and the failure rate interaction is considered. The long-run cost rate is deduced and the objective is to find the optimized preventive maintenance interval and times, that will minimize the total expected cost rate. Finally a numerical example is given. The result shows that the optimized maintenance policy presented in this article is useful in describing the interaction effect for a two-unit system and further improves methodology on preventive maintenance.

关 键 词：双组件系统 故障率交互作用 调节因子 周期性预防维护策略 小修理 

分 类 号：TP311.13[自动化与计算机技术—计算机软件与理论]