视情维修条件下k/N(G)系统备件供需联合优化

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。

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

Aiming at the problem of insufficient consideration of accessibility of spare parts in the maintenance decision model of k/N(G) system under the traditionalmcondition-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 Qand order number nwith the minimum objective function while satisfying the constraints, and the joint model undermcondition-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 mand optimum order number nwhile 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.