考虑passivation的备件库存时变凸优化
Time-varying convex optimization for spare parts inventory considering passivation

摘要 考虑到passivation现象,利用时变库存平衡方程构建时变备件短缺数函数,根据扩展帕姆定理将当前时刻之前时段的累积需求率糅合入泊松分布的形状参数,建立考虑备件累积需求率的凸优化算法。以费用约束下的时变可用度为目标函数,利用凸优化算法,得到每一时段的最优配置方案。利用众数法,选择适当的全局库存策略。最后,构建了优化案例来阐释本文提出的方法,同时通过对比几种库存策略,证明了所提方法的优越性。
Abstract：Taking passivation into consideration, we apply a time-varying inventory balance equation to setting up the time-varying backorder formula and use the extended Palm theorem to combine the cumulative demands for spare parts with the parameters of the shape characteristics of Poisson processes to create a convex optimization algorithm for spares considering the cumulative demands. Next, we use time-varying availability as the optimization objective under a cost constraint to obtain the optimal configuration program in every period by convex optimization methods. A selection rule known as the mode method is introduced to select the proper global stock policy. Finally, a numerical example is presented to demonstrate the approach, and several inventory policies are compared to prove the superiority of the proposed method.