Optimal production planning for a multi-product closed loop system with uncertain demand and return
Optimal production planning for a multi-product closed loop system with uncertain demand and return
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DOI：
10.1016/j.cor.2010.08.008
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发表时间：
2011-03
期刊：
影响因子：
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通讯作者：
Jianmai Shi;Guoqing Zhang;J. Sha
中科院分区：
文献类型：
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作者：
Jianmai Shi;Guoqing Zhang;J. Sha
研究了一类多产品闭环系统的生产计划问题，其中制造商有两种产品供应渠道：生产新产品和再制造返回新产品。在再制造过程中，旧产品被回购并再制造成新产品，并与全新产品一起销售。所有产品的需求都是不确定的，它们的回报也是不确定的，而且对价格敏感。问题是在生产能力约束下，通过联合确定全新产品的生产量、再制造产品的生产量和旧产品的收购价格，使制造商的期望利润最大化。提出了一个数学模型，制定的问题和拉格朗日松弛为基础的方法来解决这个问题。数值例子来说明模型和测试的解决方案的方法。计算结果表明，所提出的方法是非常有前途的解决问题。亦进行敏感度分析以产生管理见解。
We study the production planning problem for a multi-product closed loop system, in which the manufacturer has two channels for supplying products: producing brand-new products and remanufacturing returns into as-new ones. In the remanufacturing process, used products are bought back and remanufactured into as-new products which are sold together with the brand-new ones. The demands for all the products are uncertain, and their returns are uncertain and price-sensitive. The problem is to maximize the manufacturer's expected profit by jointly determining the production quantities of brand-new products, the quantities of remanufactured products and the acquisition prices of the used products, subject to a capacity constraint. A mathematical model is presented to formulate the problem and a Lagrangian relaxation based approach is developed to solve the problem. Numerical examples are presented to illustrate the model and test the solution approach. Computational results show that the proposed approach is highly promising for solving the problems. The sensitivity analysis is also conducted to generate managerial insights.