| The Robust H∞ Control of a Stochastic Inventory—Production System |
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| 引用本文： | ZHONGMai－ying,TANGBing－yong.The Robust H∞ Control of a Stochastic Inventory—Production System[J].系统科学与系统工程学报(英文版),2002,11(3):350-357. |
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| 作者姓名： | ZHONGMai－ying TANGBing－yong |
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| 作者单位： | ZHONG Mai-ying，TANG Bing-yongBusiness andAdministration School，Donghua University，Shanghai 200051，China |
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| 摘 要： | 1 Introduction DealsMost inventory- production models assume that the demands are influenced by randomlyfluctuating environment.Under the assumption of probability distribution being known,many researches on inventory optimization and control problem ha…
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| 关 键 词： | inventory-production system Markov process robust H ∞ control linear matrix inequality |
The Robust H∞ Control of a Stochastic Inventory-Production System |
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| ZHONG Mai-ying,TANG Bing-yong.The Robust H∞ Control of a Stochastic Inventory-Production System[J].Journal of Systems Science and Systems Engineering,2002,11(3):350-357. |
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| Authors: | ZHONG Mai-ying TANG Bing-yong |
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| Institution: | Business andAdministration School, Donghua University, Shanghai 200051, China |
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| Abstract: | Considering both the stochastic demand rate and norm-bounded unknown demand uncertainty,this paper deals with the inventory-production control problem where the stocked products may deteriorate with a rate that depends on the stochastic demand rate. By using robust H∞ control technique, the existing conditions of state feedback control strategies is given and proved, and the robust optimal policy that solves this problem is obtained in terms of a set of linear matrix inequality (LMI). Finally, an example illustrates the usefulness of the proposed methods and shows that robust H∞ control inventory-production strategy could attenuate the influence of demand uncertainty more efficiently than linear quadratic optimal policy. |
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| Keywords: | inventory-production system Markov process linear matrix inequality |
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