中文摘要：

对存在旧产品处置和采用延迟交货策略的混合系统库存决策问题进行研究。在混合系统中,有制造与再制造两种产品供应模式。产品使用后从顾客处返回,但因再制造能力的不足,返回的旧产品仅有部分用于再制造,其余的被处置。旧产品通过再制造得到再制造品,原材料和零部件通过制造得到制造新品,再制造品具有与制造新品完全相同的质量。可翻新品库存由用于再制造的旧产品组成,服务性产品库存由制造新品与再制造品组成。顾客的需求恒定且由服务性产品来满足,允许缺货但需完全拖后补足。利用（P,1）策略构建库存决策模型,给出了确定最优制造与再制造策略的求解方法,得到了制造和再制造准备次数、制造和再制造批量、模型周期长度、制造与再制造期的最大缺货量等决策变量的求解公式。算例表明,可以找到最优的制造与再制造策略。

英文摘要：

The problem of inventory decisionmaking in a hybrid system is investigated,in which some used products are disposed off and the policy of backorder is used. In the hybrid system,there are two kinds of product supply modes,i.e. manufacturing and remanufacturing. Used products from customers at the end of serviceable life are returned,but due to the limitation of remaufacturing capacity,only a part are remanufactured and the rest are disposed off. Newly manufactured items are obtained by manufacturing raw material and parts while remanufactured items are obtained by remanufacturing used products. Newly manufactured items and remanufactured items have same quality. The recoverable inventory consists of return products used for remanufacturing while the serviceable inventory consists of newly manufactured products or remanufactured products. Constant demand of customers is fulfilled by the serviceable inventory. Shortage is permitted and completely backordered. Inventory decision -making models are formulated under the （P,1） policy,the solution procedures is given to determine the optimal manufacturing and remanufacturing policy,and the formulae on the optimal numbers of manufacturing and remanufacturing setup,the lotsizes for manufacturing and remanufacturing,the length of model cycle,the maximum shortages in manufacturing and remanufcturing cycles and so on are derived.