Title :
H∞ Control of a State Matrix Model of Multiechelon Supply Chains System and Its Bullwhip Effect
Author_Institution :
Shenyang Ligong Univ., Shenyang
Abstract :
A state matrix model of a multiechelon supply chains system is built, and its bullwhip effect is analyzed. A new method to quantify the bullwhip effect is presented and described by a l2 norm of the discrete-time transfer function of the multiechelon supply chains system, where the output is the sum of the variance of the production and the variance of the inventory, the input is the variance of the customer´s demand in downstream. It is the minimum of the up bounded of the bullwhip effect. To reduce the bullwhip effect, we apply the linear matrix inequality approach to design a Hinfin control strategy in the worse case that the end customer´s demand is the most fluctuation. The essence of the method is that the optimum strategy of the supply chain managements in the worse case. To prove it, we give a number example.
Keywords :
Hinfin control; discrete time systems; inventory management; linear matrix inequalities; production control; supply chain management; transfer functions; Hinfin control strategy design; bullwhip effect; discrete-time transfer function; inventory management; linear matrix inequality approach; multiechelon supply chain management; state matrix model; Communication system control; Environmental management; Fluctuations; Innovation management; Investments; Linear matrix inequalities; Radiofrequency identification; Supply chain management; Supply chains; Transfer functions; H¿ control; bullwhip effect; l2 norm; linear matrix inequality; multiechelon supply chains;
Conference_Titel :
Management Science and Engineering, 2007. ICMSE 2007. International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-7-88358-080-5
Electronic_ISBN :
978-7-88358-080-5
DOI :
10.1109/ICMSE.2007.4421952