两部件系统视情维修与生产调度的联合优化模型  

Joint optimization model for condition-based maintenance and production scheduling of two-component systems

作　　者：甘婕 张文宇 王磊 张晓红 GAN Jie;ZHANG Wen-yu;WANG Lei;ZHANG Xiao-hong(Division of Industrial and System Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China;Research Centre for Innovation and Development of Equipment Manufacturing Industry,Taiyuan 030024,China)

机构地区：[1]太原科技大学工业与系统工程研究所,太原030024 [2]装备制造业创新发展研究中心,太原030024

出　　处：《控制与决策》2021年第6期1377-1386,共10页Control and Decision

基　　金：山西省自然科学基金项目(201801D121166);山西省高校科技创新项目(201802091);国家自然科学青年科学基金项目(71701140,61703297);太原科技大学校博士启动基金项目(20162021);山西省高等学校人文社会科学重点研究基地项目(201801032);山西省重点研发计划项目(201703D111011)。

摘　　要：为了解决生产调度过程中由系统维护维修产生的资源闲置和时间成本增加问题,将系统维修与生产调度联合建模.在众多学者将系统作为整体进行生产调度与维修研究的基础上,考虑系统内各组成部件之间的复杂关系.针对具有经济相关性的两部件系统,以调度作业加工顺序、预防性维修阈值、机会维修阈值作为决策变量,考虑到两部件同时维修比单部件独立维修更为经济,将机会维修引入到建模之中,制订机会维修、预防性维修、故障后更换的视情维修与生产调度结合的联合策略,通过劣化状态空间划分法给出生产调度过程中所有维修组合及其对应维修概率,推导出联合概率密度函数,建立以最小化总加权期望完成时间为目标的联合优化模型.通过数值实验和灵敏度分析验证所提出的策略及模型的有效性.In order to solve the problem of resource idleness and time cost increase caused by system maintenance in the production scheduling process, the system maintenance and production scheduling are modelled jointly. On the basis of many scholars’ research on production scheduling and maintenance, this paper considers the complex relationship among the components in the system. Focusing on a system composed of two components with economic relevance,the processing order, preventive maintenance threshold and opportunistic maintenance threshold of scheduling jobs are taken as decision variables. At the same time, considering that the simultaneous maintenance of two components is more economical than the independent maintenance of a single component, the opportunistic maintenance is introduced into the modelling. The joint strategy of condition based maintenance and production scheduling is formulated, which contains opportunistic maintenance, preventive maintenance and corrective maintenance. All the possible maintenance requirement during the production scheduling process and their corresponding probabilities is presented, as well as the joint probability density is derived using the deterioration state space partition method. A joint optimization model is established to minimize the total weighted expected completion time. Numerical experiments and sensitivity analyses are conducted to verify the validation of the proposed strategy and established model.

关 键 词：两部件系统 视情维修 生产调度 机会维修 劣化状态空间划分 联合优化模型 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]