基于性能退化的产品组合维修策略优化分析

为准确掌握产品性能退化规律,合理安排维护与视情修理组合的维修活动,根据维护条件下产品的性能退化过程,利用累积失效理论,分析产品的性能退化特点.建立基于复合泊松过程的产品性能退化模型,并对水泵转子的失效规律进行了拟合,验证了模型的有效性.建立了定期维护与视情修理组合的维修活动概率模型,给出了失效风险的解析表达式.以长期运行条件下产品费用率为目标,失效风险为约束,确定了组合维修策略优化模型.通过对平台惯性导航系统进行数值分析,优化结果能够有效地延长工作时间,实时控制失效概率,使产品具备较高的安全等级,避免失效带来的不利影响,降低了维修费用.

Analysis of optimal combined maintenance strategy based on performance deterioration

In order to understand the deterioration law of product performance and rationally arrange the maintenance actions. According to the deterioration process, the performance deterioration characteristics of product on servicing are analyzed by cumulating failure theory. The deterioration model is established based on compound Poisson process, and the example of water pump rotor is introduced to illustrate the feasibility and validity of model. The propability model of maintenance actions which combines servicing with condition-based repair is estabilished, and the analytical expression of failure risk is given. Finally, the optimization model of combined maintenance strategy is proposed with an objective to minimize the long-run average cost rate and a constraint on failure risk. The platform inertial navigation system is taken as numerical example. The results demonstrate it can prolong the operational time, control the failure probability, guarantee high safety grade and decrease the maintenance cost.