中文摘要：

为确定最优的制造与翻新策略,对包含了制造与翻新两种产品供应模式的生产系统进行研究。在（1,N）和（M,1）策略下分别构建了与批量决策相关的单位时间总成本库存决策模型,并利用消元思想将模型减化为仅关于制造或翻新准备次数的函数,应用差分函数对其进行求解,最后得到了最优的制造或翻新准备次数等决策变量的求解公式。算例表明,制造商能找到最优的制造与翻新策略。同时,翻新比率敏感度分析表明：当返回旧产品的质量水平较高时,制造商倾向于采用（1,N）策略;反之,采用（M,1）策略。

英文摘要：

To determine the optimal manufacturing recovery policy,a system including manufacturing recovery was investigated.The inventory decision-making models on the unit time total cost related to lot-size decision-making were formulated under（1,N）and（M,1）policies respectively,and were reduced to the functions with respect only to the setup numbers of manufacturing or recovery by the elimination theory.Differencial function was used to solve these models.Finally,formulae on the optimal setup numbers of manufacturing recovery and other decision variables were derived.Numerical example shows that the optimal manufacturing recovery policy could be found by manufacturer,and sensitivity analysis of the recovery rate indicated that manufacturer tended to use the（1,N） policy when the quality of return used products was above normal,otherwise,the（M,1）policy was preferable.