Robust Optimization on Across-Chain Inventory Control of Cluster Supply Chains

On basis of cluster supply chain with two four-echelon single supply chains, cross-chain inventory coordination between two retailers is taken into account on condition of the two supply chains co-petition. The time-varying robust control system model is built, the method of quantizing bullwhip effect is put forward, and optimal orders are explored through utilizing H∞ control arithmetic. The simulation example proves that cross-chain inventory cooperation in cluster supply chains and robust control method can effectively weaken bullwhip effect, reduce stock, dwindle fluctuation of order and improve response to cluster market.

[1]  Özalp Özer,et al.  Inventory Control with Limited Capacity and Advance Demand Information , 2004, Oper. Res..

[2]  D. Simchi-Levi,et al.  The value of information sharing in a two-stage supply chain with production capacity constraints , 2003 .

[3]  Frank Y. Chen,et al.  Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information.: The Impact of Forecasting, Lead Times, and Information. , 2000 .

[4]  Zikuan Liu,et al.  Manufacturing systems with random breakdowns and deteriorating items , 2001, Autom..

[5]  David Shan-Hill Wong,et al.  Controller design and reduction of bullwhip for a model supply chain system using z-transform analysis , 2004 .

[6]  El-Kébir Boukas,et al.  Robust inventory-production control problem with stochastic demand , 1999 .

[7]  Vineet Padmanabhan,et al.  Comments on "Information Distortion in a Supply Chain: The Bullwhip Effect" , 1997, Manag. Sci..

[8]  Haifeng Guo,et al.  H∞ Control of a State Matrix Model of Closed-loop Supply Chain and its Bullwhip Effect , 2006, 2006 9th International Conference on Control, Automation, Robotics and Vision.

[9]  Xiaoyuan Huang,et al.  An H∞ control method of the bullwhip effect for a class of supply chain system , 2007 .

[10]  Hau L. Lee,et al.  Information distortion in a supply chain: the bullwhip effect , 1997 .

[11]  Marco Laumanns,et al.  Robust optimal control of material flows in demand-driven supply networks , 2006 .

[12]  Lu Zhen Application of H_∞ control strategies of bullwhip effect in supply chain , 2003 .

[13]  Dong-Ping Song,et al.  Optimal Service Control of a Serial Production Line with Unreliable Workstations and Random Demand , 1998, Autom..

[14]  El-Kébir Boukas,et al.  Manufacturing flow control and preventing maintenance: a stochastic control approach , 1988 .

[15]  T. Basar,et al.  H∞-0ptimal Control and Related Minimax Design Problems: A Dynamic Game Approach , 1996, IEEE Trans. Autom. Control..

[16]  Morris A. Cohen,et al.  The Stabilizing Effect of Inventory in Supply Chains , 1998, Oper. Res..

[17]  Luis Rodrigues,et al.  Inventory Control of Switched Production Systems: LMI Approach , 2005 .

[18]  Özalp Özer,et al.  Integrating Replenishment Decisions with Advance Demand Information , 2001, Manag. Sci..

[19]  Herbert E. Scarf,et al.  Optimal Policies for a Multi-Echelon Inventory Problem , 1960, Manag. Sci..

[20]  Karl G. Kempf,et al.  A Model Predictive Control framework for robust management of multi-product, multi-echelon demand networks , 2003, Annu. Rev. Control..

[21]  Özalp Özer,et al.  Optimal Replenishment Policies for Multiechelon Inventory Problems Under Advance Demand Information , 2003, Manuf. Serv. Oper. Manag..

[22]  Franco Blanchini,et al.  Feedback control of production-distribution systems with unknown demand and delays , 2000, IEEE Trans. Robotics Autom..