带失效的拉式生产系统预防性维护建模

为了有效解决同时具有随机失效与退化失效的拉式生产系统的维护问题，提出了基于状态的双阶段预防性维护（Preventive maintenance，PM）策略.首先，根据设备的退化状态、生产端状态以及库存容量构建了系统的状态空间，并利用马尔科夫链描述系统的状态转移.之后，分别以最小化失效率和最大化产出速率为目标，建立了考虑检测周期、看板数量以及预防性维护阈值的综合预防性维护模型.针对设备随役龄增加而故障频发的特点，引入失效率递增因子.最后，给出了最小化失效率和最大化产出速率两种目标下的求解算法，并对决策变量做了敏感性分析.数值实例与现有方案的对比表明了所建模型和算法的有效性.

Preventive Maintenance Modeling of Pull System With Failures

To solve the preventive maintenance (PM) problem for a pull production system with both degradation failure and random failure, a two-stage conditional preventive maintenance strategy is proposed. First, the system's state space is built according to the machine's degradation state, the production system's state and the amounts of products in buffers; the state transition matrix is constructed using Markov chain. Then, a joint preventive maintenance and production control optimization model with the goal of minimizing the failure probability and maximizing the throughput rate is built, which takes the inspection period, amounts of Kanban and PM threshold into account simultaneously. Meanwhile, the failure rate increasing factor is introduced into the modeling of the degradation process of machine. Finally, an algorithm for solving the model is proposed, and its sensitivity analysis for key parameters is conducted. Numerical experiments and contrast experiment with the current strategy have verified the effectiveness and efficiency of the proposed model.