(Q,r)库存中的提前期压缩问题研究

本文在提出了新的具有分段可微特征的提前期压缩成本函数的基础上,构建了一个两阶段(Q,r)库存模型。并在一定服务水平约束条件下,进一步利用成本函数分段可微的特性结合数学分析的理论将原问题分解为一个无约束问题和一个等式约束问题。理论分析及算例表明,可以通过合理的确定模型中的订货量Q、订货点r、提前期加速因子τ等参数值使得在服务水平得到一定提高的同时成本也得到优化。

Research on Lead- Time Reduction in (Q, r) Lnventory Models

After putting forward a lead-time reduction cost function with characteristics of subsection linear,this paper discussed a two-stage(Q,r)policy coordination problem with service level constraint.By applying some means of optimization theory,the problem was decomposed into two problems:one problem without constraint and the other with equation constraint.Theoretic analysis and numerical study show that,service level can be improved prominently and the total cost can be minimized synchronously after confirming the order quantity,the reorder point and the lead-time expediting factor.