视情维修条件下k/N(G)系统备件供需联合优化  

Joint optimization of spare parts supply-demand for k/N(G) system under condition-based maintenance

作　　者：杨建华[1] 韩梦莹 YANG Jianhua;HAN Mengying(Donlinks School of Economics and Management,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]北京科技大学东凌经济管理学院

出　　处：《系统工程与电子技术》2019年第9期2148-2156,共9页Systems Engineering and Electronics

基　　金：国家自然科学基金(71231001,71602008);中央高校基本科研业务费专项资金(TW2018009,NTUT-USTB-107-01)资助课题

摘　　要：针对传统m视情维修策略下k/N(G)系统维修决策模型对备件可获取性考虑不足的问题,提出了(m,Q)维修策略及备件订购与生产的联合决策优化方法,建立了两种视情维修条件下k/N(G)系统备件供需联合优化模型。证明了在满足约束条件的同时,(m,Q)维修策略下的联合模型((m,Q,n)策略模型)具有使目标函数最小的订购阈值m、订货量Q和订货次数n,m维修策略下的联合模型((m,n)策略模型)存在最优订货量m和订货次数n使目标值最小。此外,比较分析了不同模型参数对两种模型决策的影响,结果表明,(m,Q,n)策略模型得到的成本始终小于(m,n)策略模型,而系统使用可用度始终高于(m,n)策略模型。Aiming at the problem of insufficient consideration of accessibility of spare parts in the maintenance decision model of k/N(G ) system under the traditional m condition-based maintenance strategy,the ( m,Q ) maintenance strategy and the joint decision-making optimization method of spare parts ordering and production are proposed,and the joint optimization model of spare parts supply and demand for k/N(G ) system under two condition-based maintenance is established.It is proved that the joint model under ( m,Q ) condition-based maintenance strategy,we call this model the ( m,Q,n ) strategy model,has the order threshold m,order quantity Q and order number n with the minimum objective function while satisfying the constraints,and the joint model under m condition-based maintenance strategy,we refer to this model the ( m,n ) strategy model,proves that the objective function has the minimum value at optimum order quantity m and optimum order number n while satisfying the constraints.In addition,the effects of different model parameters on the decision-making of the two models are compared and analyzed,the results show that the cost of the ( m,Q,n ) strategy model is always less than that of the ( m,n ) strategy model and the operational availability of system is always higher than that of the ( m,n ) strategy model.

关 键 词：冗余系统 保障体系 备件订购 备件生产 联合决策 

分 类 号：TH17[机械工程—机械制造及自动化]