再制造系统废旧产品回收的最优控制策略

Optimal control policy for collecting used products in remanufacturing system

研究了再制造逆向物流系统中废旧产品库存的最优控制问题。为了能够从用户手中回收到合适数量的废旧产品,采用买回废旧产品的方式控制产品的返回强度。通过分析回收过程的特点,提出了一种新的随机库存控制模型,系统的最终目标是求取一个最优的价格策略,以达到有限周期系统总费用的期望值最小。在状态反馈控制规则下,得到了最优费用函数的递归方程,找到了具有两个状态阈值的最优反馈控制策略,并给出了求解最优策略的动态规划算法。最后,通过数值实例验证了算法的可行性,并给出了参数的敏感性分析。

Optimal control of used product inventory in a remanufacturing reverse logistics system was studied. To collect appropriate quantity of used products from users, the buying back policy was adopted, where the returned intensity was controlled by the collection price. Through analyzing the characteristics of return process, a new stochastic inventory control model was proposed, which was aimed to obtain optimal buying back price strategy and then minimize the expectation of total cost. Under the stat-feedback control rule, the recursion equation of optimal cost function was obtained, and moreover, the optimal feedback control policy with two state critical values was obtained. Dynamic programming algorithm for the optimal buying back price was given. Finally, the numerical example proved the feasibility of the algorithm, and the sensitivity analysis of parameters was conducted.