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
_infin
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.