Chain‐to‐chain inventory transshipment model and robust switch control in CSC networks

On the basis of CSC (Cluster Supply Chain) networks with two four‐echelon single supply chains, chain‐to‐chain inventory transshipment between two retailers is taken into account in the context of the two single chains cooperation. The uncertain robust switched control system model is built. Meanwhile, the methodology of robust optimization is introduced to minimize the bullwhip effect, and the solution of optimal decision serials is explored utilizing H‐infinity switched control algorithm. The online decision‐making simulation framework structure is developed to demonstrate the switching procedure. The simulation example proves that chain‐to‐chain inventory transshipment in CSC networks and robust switch control method can effectively weaken the bullwhip effect, reduce stock, dwindle fluctuation of order, and improve response to cluster market. Copyright © 2011 John Wiley & Sons, Ltd.

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

[2]  Suresh Kumar Goyal,et al.  An optimal policy for a single-vendor single-buyer integrated production–inventory system with capacity constraint of the transport equipment , 2000 .

[3]  M. Khouja.  Optimizing inventory decisions in a multi-stage multi-customer supply chain , 2003 .

[4]  A. Ackere,et al.  Systems thinking and business process redesign: An application to the beer game , 1993 .

[5]  Fernanda Strozzi,et al.  A supply chain as a series of filters or amplifiers of the bullwhip effect , 2008 .

[6]  Paolo Valigi,et al.  Supply Chain Management by H-Infinity Control , 2008, IEEE Transactions on Automation Science and Engineering.

[7]  T. Jones,et al.  Using Inventory for Competitive Advantage through Supply Chain Management , 1985 .

[8]  Roland P. Malhamé,et al.  Analysis, Control and Optimization of Complex Dynamic Systems , 2005 .

[9]  LI Ji-zi.  H_∞ Control of Bullwhip Effect in Cluster Supply Chains under Dynamic Demand , 2007 .

[10]  A. Stephen Morse,et al.  Control Using Logic-Based Switching , 1997 .

[11]  S. Mou,et al.  Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties , 2006, 2006 American Control Conference.

[12]  Anders Rantzer,et al.  Piecewise linear quadratic optimal control , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[13]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[14]  J. Bernussou,et al.  Robust dynamic output feedback control for switched systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[15]  Hui-Ming Wee,et al.  Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives , 2007, Eur. J. Oper. Res..

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

[17]  Long Wang,et al.  An LMI approach to /spl Lscr/;/sub 2/ gain analysis of uncertain switched systems , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[18]  Leopoldo Eduardo Cárdenas-Barrón,et al.  Optimizing inventory decisions in a multi-stage multi-customer supply chain: A note , 2007 .

[19]  Jamal Daafouz,et al.  Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach , 2002, IEEE Trans. Autom. Control..

[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]  Jian-Bo Yang,et al.  Dynamic analysis of a two-stage supply chain—a switched system theory approach , 2009 .

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

[23]  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 .

[24]  Ben-Tal Aharon,et al.  Robust multi-echelon multi-period inventory control , 2009 .

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

[26]  S. Disney,et al.  On bullwhip in supply chains--historical review, present practice and expected future impact , 2006 .

[27]  Boaz Golany,et al.  Robust multi-echelon multi-period inventory control , 2009, Eur. J. Oper. Res..

[28]  Meng Bo.  Research on H_∞ Control of Bullwhip in Cluster Supply Chains Based on Cooperation between Two Single Chains , 2007 .

[29]  Long Wang,et al.  LMI approach to L/sub 2/-gain analysis and control synthesis of uncertain switched systems , 2004 .

[30]  John B. Houlihan.  International supply chain management , 1985 .

[31]  Arkadi Nemirovski,et al.  Robust optimization – methodology and applications , 2002, Math. Program..

[32]  S. Goyal,et al.  Integrated inventory models: The buyer-vendor coordination , 1989 .

[33]  Jun-ichi Imura,et al.  Well-posedness analysis of switch-driven piecewise affine systems , 2003, IEEE Trans. Autom. Control..