动态供应链网络的H_∞控制

H_∞ control of dynamic supply chain network

牛鞭效应的抑制与消除问题是供应链管理的重要课题.针对具有多个生产商和分销商的供应链网络,建立具有需求不确定性的闭环供应链网络动态模型,利用鲁棒H∞控制策略和线性矩阵不等式方法,处理供应链网络的鲁棒运作问题.通过设计依赖于库存状态的反馈控制器,抑制闭环供应链网络中不确定性的影响,使得闭环供应链网络系统运作达到理想的总成本.最后,通过仿真计算验证所提出方法的有效性.

The control and elimination of bullwhip effect is an important topic in supply chain management. For a supply chain network consisting of several manufacturers and distributors, the closed dynamical supply chain network model with uncertain demand is established. The robust operation of the network is discussed based on the H_∞ control and linear matrix inequality scheme. The effect of the uncertainty is suppressed under a feedback controller related to the inventorY. Meanwhile, the operation cost of the closed supply chain net- work is controlled to an ideal level. A simulation example is given to show the effectiveness of the proposed method.