针对关键生产系统退化过程中出现3种状态的问题,提出基于延迟时间理论的质量控制、状态维修与备件订购联合策略.首先,考虑系统退化状态与产品质量之间的函数关系,设计了在系统退化初期检查系统状态,而在退化后期检查产品质量的两阶段检测策略.其次,根据状态检测信息、产品质量信息及故障信息选择应采取的维修活动,结合系统更新时备件所处的状态确定检测周期内各种可能的事件,构建有限时域内的平均费用率模型.然后,基于离散事件仿真和响应曲面法设计优化算法以快速近似求解模型.最后,通过算例分析部分将所提联合策略与对比模型策略进行比较,验证了所提联合策略的有效性与可行性.

A joint policy of quality control, condition-based maintenance and spare ordering is proposed for a degradation system subject to the delay time concept. First, considering the fact that product quality is largely dependent on system state, a two-stage inspection policy is proposed, in which the system state is detected during the initial deterioration process, but the product quality is checked after the defective state is found by an inspection. Then, based on the condition inspection information, quality information and failure information, the corresponding maintenance activity is chosen. Combining the state of the spare part when the system replacement is required, all possible events during an inspection interval are discussed and then a mathematical model of average cost rate is established. Afterwards, a simulation-based optimization approach coupling discrete event simulation and response surface methodology is devised to obtain a near optimal joint policy. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed policy by comparing it with the comparative policy.