To determine the manufacture and recovery policy for each product, a manufacture and recovery system with finite remanufacture capacity is investigated. Multi-products are manufactured and recovered in the system. Each product at the end of serviceable life is returned from customers at the constant rate, but due to the limitation of remanufacture capacity some return products not for recovery are disposed off. Customers' demand for each product is constant and fulfilled by serviceable products which consist of manufactured products and recovered products, and shortage is not permitted. The inventory decision-making model is formulated under the (M ,1) policy, and recovery sequence and recovery fraction are determined by using the Lagrange multiplier method and the greedy algorithm respectively. A solution procedure to determine the manufacture and recovery policy for each product is developed for a given recovery ratio when the recovery setup numbers are positive integers, and the formulae for each product on the manufacture and recovery lot-sizes and setup numbers and so on are derived. The numerical example shows that the optimal manufacture and recovery policy for each product can be found once recovery sequence and recovery ratio for each product are given.%为确定各产品的制造与翻新策略,对翻新能力有限的混合系统进行研究.在此系统中,制造和翻新多种产品.每种产品在顾客使用后都会以恒定速率返回,但因翻新能力有限,部分返回旧产品因不能用于翻新而被处置.顾客对每种产品的需求恒定且由服务性产品库存来满足,服务性产品库存由制造品和翻新品组成,不允许缺货.在(M,1)策略下构建了库存决策模型,应用拉格朗日乘数法和贪婪算法分别确定了各种产品的翻新顺序和翻新比率.对既定的翻新比率,提出了制造准备次数为正整数时各种产品制造与翻新策略的求解程序,得到了各产品的制造和翻新批量、制造和翻新准备次数等求解公式.算例表明,在(M,1)策略下,一旦各产品的翻新顺序和翻新比率确定,可以找到各产品最优的制造与翻新策略.
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