再制造能力有限的多产品混合系统库存决策

Inventory Decision-making on a Multi-product Hybrid System With Finite Remanufacturing Capacity

为确定各产品的制造与再制造策略,对再制造能力有限的多产品混合系统进行研究。在系统中,对多种产品进行制造和再制造。每种产品在顾客使用后都会以恒定速率返回,但因再制造能力有限,有些产品无法用于再制造而被处置。每种产品需求恒定且由服务性产品来满足,服务性产品由制造品和再制造品组成,不允许缺货。在一次制造准备和至少一次再制造准备策略下构建了库存决策模型,利用拉格朗日乘数法和贪婪算法分别确定了各产品的再制造顺序和再制造比率。并当再制造比率一定时,给出了再制造准备次数为正整数时各产品制造与再制造策略的求解程序,得到了各产品制造和再制造批量、再制造准备次数等求解公式。最后,应用算例对模型及求解方法进行了验证。

To determine the manufacturing and remanufacturing policy,a multi-product hybrid system with finite remanufacturing capacity is investigated.Multi-products are manufactured and remanufactured in the system.Each product at the end of serviceable life is returned from customers at the constant rate,but due to finite remanufacturing capacity some products which are not used for remanufacturing are disposed off.The demand for each product is constant and fulfilled by serviceable products which consist of manufactured products and remanufactured products,and shortage is not permitted.The inventory decision-making model is formulated under one manufacturing setup and at least one remanufacturing setup policy,and remanufacturing sequence and fraction for each product is determined by Lagrange multiplier method and greedy algorithm.A solution procedure for the manufacturing and remanufacturing policy is developed for given remanufacturing fraction when the numbers of remanufacturing setup are positive integers,and the formulae for each product on the optimal manufacturing and remanufacturing lot-sizes,remanufacturing setup number and so on are derived.Finally,the model and solution procedures are validated by a numerical example.