零售商需求合作供应链动态模型及鲁棒H∞控制
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摘要
以多个分销商和多个零售商组成的二级供应链网络为研究对象,在考虑零售商需求合作的情况下,建立了该供应网络的动态模型,同时分析系统在不确定性扰动下的牛鞭效应问题。运用H∞鲁棒控制方法来弱化供应链牛鞭效应的影响,并采用线性矩阵不等式(LMI)方法来获取H∞鲁棒控制策略。最后,结合相关算例验证了H∞鲁棒控制策略在改善供应网络动态性方面的可行性和有效性。对比分析表明,零售商需求合作及H∞鲁棒控制能够有效抑制牛鞭效应、改善系统的动态性,并为供应网络提供较优的库存控制策略。
Taking a two-level supply network that consists of many distributors and many retailers as research object,a dynamic model of this supply network is set up by considering retailers demand collaboration.Meanwhile,the system's bullwhip effect problem is analyzed under uncertain disturbance.The robust H∞ control method is applied to weaken the bullwhip effect and the H∞ robust control strategy is obtained by using linear matrix inequality(LMI).Finally,the feasibility and effectiveness of H∞ robust control strategy at improving dynamic performance of supply network is verified by relevant example.Comparative analysis indicates that,bullwhip effect can be weakened and system's dynamic performance can be improved effectively by taking retailers demand collaboration and robust H∞ control method,and a better inventory control strategy can be provided for supply network.
Taking a two-level supply network that consists of many distributors and many retailers as research object,a dynamic model of this supply network is set up by considering retailers demand collaboration.Meanwhile,the system's bullwhip effect problem is analyzed under uncertain disturbance.The robust H∞ control method is applied to weaken the bullwhip effect and the H∞ robust control strategy is obtained by using linear matrix inequality(LMI).Finally,the feasibility and effectiveness of H∞ robust control strategy at improving dynamic performance of supply network is verified by relevant example.Comparative analysis indicates that,bullwhip effect can be weakened and system's dynamic performance can be improved effectively by taking retailers demand collaboration and robust H∞ control method,and a better inventory control strategy can be provided for supply network.
引文
[1]晏妮娜,黄小原.电子市场环境下双源渠道模型及其牛鞭效应H∞控制[J].东北大学学报(自然科学版)。2006,27(5):583-586.
[2]王瑛,孙林岩.基于合作需求预测的多级库存优化模型[J].系统工程理论方法应用,2004,13(3):208-213.
[3]DISNEY S M,TOWILL D R.A procedure for the optimization of the dynamic response of a vendor managed inventory system[J].Computer and Industrial Engineering,2002,43(1):27-58.
[4]LEE H L,PADMANABHAN V,WHANG S.Information distortion in a supply chain:The bullwhip effect[J].Management Science,1997,43(4):546-558.
[5]刘春玲,孔林夫,黎继子.多级集群式供应链跨链库存合作及鲁棒优化算法[J].控制理论与应用,2009,26(9):1046-1050.
[6]唐亮,靖可.H∞鲁棒控制下动态供应链系统牛鞭效应优化[J].系统工程理论与实践,2012,32(1):155-163.
[7]李翀,刘思峰.含时滞的不确定性供应链网络系统牛鞭效应控制策略及其经济性能分析[J].控制与决策,2013,28(1):13-19.
[8]黄小原,邱若臻.基于再制造的闭环供应链动态模型及其鲁棒H∞控制[J].控制与决策,2007,22(6):667-674.
[9]张显库,贾欣乐,王兴成,等.H∞鲁棒控制理论发展的十年回顾[J].控制与决策,1999,14(4):289-296.
[10]高金风,俞立,王春平.线性矩阵不等式及其在控制工程中的应用[J].控制工程。2003,10(2):145-148.(下转第199页)
[11]J1A Tinggang,NIU Yugang,WANG Xingyu.H∞control for networked systems with data packet dropout[J].International Journal of Control,Automation and Systems.,2010,8(2):198-203.
[12]FANG Xiaosheng,WANG Jingcheng.Sampled-data H∞control for networked systems With random packet dropouts[J].Asian Journal of Control,2010,12(4):549-557.
[13]黄小原,王进.供应链中的牛鞭效应问题研究进展:存在、量化与控制[J].信息与控制,2004,33(5):579-583.
[14]KIM J H,PARK H B.H∞state feedback control for generalized continuous/discrete time-delay system[J].Automatica,1999,35(8):1443-1451.
[2]王瑛,孙林岩.基于合作需求预测的多级库存优化模型[J].系统工程理论方法应用,2004,13(3):208-213.
[3]DISNEY S M,TOWILL D R.A procedure for the optimization of the dynamic response of a vendor managed inventory system[J].Computer and Industrial Engineering,2002,43(1):27-58.
[4]LEE H L,PADMANABHAN V,WHANG S.Information distortion in a supply chain:The bullwhip effect[J].Management Science,1997,43(4):546-558.
[5]刘春玲,孔林夫,黎继子.多级集群式供应链跨链库存合作及鲁棒优化算法[J].控制理论与应用,2009,26(9):1046-1050.
[6]唐亮,靖可.H∞鲁棒控制下动态供应链系统牛鞭效应优化[J].系统工程理论与实践,2012,32(1):155-163.
[7]李翀,刘思峰.含时滞的不确定性供应链网络系统牛鞭效应控制策略及其经济性能分析[J].控制与决策,2013,28(1):13-19.
[8]黄小原,邱若臻.基于再制造的闭环供应链动态模型及其鲁棒H∞控制[J].控制与决策,2007,22(6):667-674.
[9]张显库,贾欣乐,王兴成,等.H∞鲁棒控制理论发展的十年回顾[J].控制与决策,1999,14(4):289-296.
[10]高金风,俞立,王春平.线性矩阵不等式及其在控制工程中的应用[J].控制工程。2003,10(2):145-148.(下转第199页)
[11]J1A Tinggang,NIU Yugang,WANG Xingyu.H∞control for networked systems with data packet dropout[J].International Journal of Control,Automation and Systems.,2010,8(2):198-203.
[12]FANG Xiaosheng,WANG Jingcheng.Sampled-data H∞control for networked systems With random packet dropouts[J].Asian Journal of Control,2010,12(4):549-557.
[13]黄小原,王进.供应链中的牛鞭效应问题研究进展:存在、量化与控制[J].信息与控制,2004,33(5):579-583.
[14]KIM J H,PARK H B.H∞state feedback control for generalized continuous/discrete time-delay system[J].Automatica,1999,35(8):1443-1451.