多源退化下同构多部件生产系统调度与视情维修联合决策  

Scheduling and condition-based maintenance joint decision in homogeneous multi-component production systems under multiple source degradation

作　　者：李姣嫒 毛双新 甘婕 张晓红 王金贺 LI Jiao-ai;MAO Shuang-xin;GAN Jie;ZHANG Xiao-hong;WANG Jin-he(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,Key Research Bases for Humanities and Social Sciences in Shanxi,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]山西人文社科重点研究基地装备制造业创新发展研究中心,太原030024

出　　处：《控制与决策》2025年第1期336-344,共9页Control and Decision

基　　金：国家自然科学基金项目(72071183);太原科技大学研究生联合培养示范基地项目(JD2022010);山西省高等学校人文社会科学重点研究基地项目(20220123);山西省重点研发计划项目(202202100401002);山西省青年科学研究项目(202103021223291)。

摘　　要：在具有关键多部件系统的生产调度过程中,系统退化往往受多方面因素影响.生产加工期间的载荷、外部环境的冲击以及部件间的故障相关性都会造成系统不同程度的退化.因此,针对多源退化影响下的同构多部件生产系统,分析生产调度期间其关键部件和系统的退化特征,并构建相应的系统退化模型.在此基础上,提出生产调度与视情维修的联合策略,以调度作业的加工序列和预防性维修阈值为决策变量,最小化总加权期望完成时间为目标,构建考虑多源退化影响下的同构多部件系统生产调度与视情维修联合决策模型.据此进行部件级的平稳概率和系统级的联合概率的推导,并给出数值求解方法.在数值实验中,通过对比不同退化因素影响下联合决策模型的优化结果,证实在联合决策中考虑多源退化的必要性;经过参数的敏感度分析,验证所提模型的有效性.In the production scheduling process of systems with critical multiple components,system degradation is often influenced by various factors.Loads during production processing,external environmental impacts and the interdependence of component failures can all cause varying degrees of degradation in the system.Therefore,this article analyzes the degradation characteristics of key components and the system during production scheduling under the influence of multiple sources of degradation,and constructs corresponding degradation models.Based on this,a joint strategy for production scheduling and condition-based maintenance is proposed,with the processing sequence of scheduling jobs and preventive maintenance thresholds as decision variables,aiming to minimize the total weighted expected completion time,a joint decision model for production scheduling and condition-based maintenance of a homogeneous multi-component system considering the effects of multiple sources of degradation is constructed.Accordingly,derivations of component-level steady-state probabilities and system-level joint probabilities are conducted,and the numerical solution method is given.In numerical experiments,by comparing the optimization results of the joint decision model under the influence of different degradation factors,the necessity of considering multiple sources of degradation in joint decision-making is demonstrated.Through the sensitivity analysis of the parameters,the effectiveness of the proposed model is verified.

关 键 词：并联多部件系统 视情维修 生产调度 多源退化 联合决策 

分 类 号：TH17[机械工程—机械制造及自动化]