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動態(tài)供應鏈系統(tǒng)的最優(yōu)庫存控制策略研究

發(fā)布時間:2018-07-16 11:30
【摘要】:本文研究了受需求擾動的二級供應鏈系統(tǒng)前饋反饋最優(yōu)跟蹤庫存控制策略、含提前期的多級供應鏈系統(tǒng)近似最優(yōu)庫存控制策略以及近似最優(yōu)跟蹤庫存控制策略.具體內容如下:1.針對二級供應鏈系統(tǒng)中市場需求擾動引起的牛鞭效應問題,提出了一種基于前饋補償?shù)淖顑?yōu)跟蹤庫存控制策略.首先,針對需求擾動可模型化為線性外系統(tǒng)的情形,引入了一個漸近穩(wěn)定的期望系統(tǒng).然后,基于線性二次型性能指標,給出了受需求擾動的供應鏈系統(tǒng)的前饋反饋最優(yōu)跟蹤控制器設計方法.控制器的反饋增益和前饋增益可分別通過求解Riccati方程和Stein方程得到.仿真結果表明,提出的前饋反饋最優(yōu)跟蹤控制方法能有效抑制需求擾動對供應鏈系統(tǒng)的影響,改善供應鏈系統(tǒng)的動態(tài)性能,且該方法明顯優(yōu)于經(jīng)典的最優(yōu)跟蹤控制.2.研究了具有提前期的多級供應鏈系統(tǒng)的近似最優(yōu)庫存控制問題,給出了近似最優(yōu)庫存控制器的設計方法.通過引入靈敏度參數(shù),將原問題轉化成不含時滯項的一族兩點邊值問題,然后證明了最優(yōu)庫存控制策略的存在性和惟一性,控制器的反饋增益可通過求解Riccati方程得到.最后利用級數(shù)的前n項和近似求解,得到了多級供應鏈系統(tǒng)的最優(yōu)庫存控制律的近似算法.仿真實例證明了提出的近似最優(yōu)庫存補貨策略能有效抑制牛鞭效應,從而改善供應鏈系統(tǒng)的性能.3.研究了具有提前期的多級供應鏈系統(tǒng)的近似最優(yōu)跟蹤庫存控制問題.通過引入漸近穩(wěn)定的期望系統(tǒng),給出了多級供應鏈系統(tǒng)的近似最優(yōu)跟蹤庫存控制器設計方法.其控制器的反饋增益可通過求解Riccati方程和Stein方程得到.最后利用級數(shù)的前n項和近似求解,得到了多級供應鏈系統(tǒng)的最優(yōu)跟蹤庫存控制律的近似算法.仿真實例證明了該近似算法能有效抑制提前期對供應鏈系統(tǒng)的影響.
[Abstract]:In this paper, the feedforward and feedback optimal tracking inventory control strategy for a two-stage supply chain system with demand disturbance, the approximate optimal inventory control strategy for a multi-stage supply chain system with lead time and the approximate optimal tracking inventory control strategy for a two-stage supply chain system are studied. The details are as follows: 1. An optimal tracking inventory control strategy based on feedforward compensation is proposed for bullwhip effect caused by market demand disturbance in a two-stage supply chain system. Firstly, an asymptotically stable desired system is introduced for the case that the demand disturbance can be modeled as a linear external system. Then, based on the linear quadratic performance index, a feedforward and feedback optimal tracking controller design method for the supply chain system with demand disturbance is presented. The feedback gain and feedforward gain of the controller can be obtained by solving the Riccati equation and the Stein equation respectively. Simulation results show that the proposed feedforward and feedback optimal tracking control method can effectively suppress the influence of demand disturbance on the supply chain system and improve the dynamic performance of the supply chain system, and this method is obviously superior to the classical optimal tracking control .2. The problem of approximate optimal inventory control for multistage supply chain systems with lead time is studied, and the design method of approximate optimal inventory controller is given. By introducing sensitivity parameters, the original problem is transformed into a family of two-point boundary value problems without delay. The existence and uniqueness of the optimal inventory control strategy are proved. The feedback gain of the controller can be obtained by solving the Riccati equation. Finally, an approximate algorithm for the optimal inventory control law of a multistage supply chain system is obtained by using the first n term sum of the series. Simulation examples show that the proposed approximate optimal inventory replenishment strategy can effectively suppress bullwhip effect and improve the performance of supply chain system. An approximate optimal tracking inventory control problem for multistage supply chain systems with lead time is studied. By introducing asymptotically stable expected systems, an approximate optimal tracking inventory controller design method for multistage supply chain systems is presented. The feedback gain of the controller can be obtained by solving the Riccati equation and Stein equation. Finally, an approximate algorithm for the optimal tracking inventory control law of a multistage supply chain system is obtained by using the first n term sum of the series. Simulation results show that the proposed algorithm can effectively suppress the influence of lead time on supply chain system.
【學位授予單位】:中國計量學院
【學位級別】:碩士
【學位授予年份】:2015
【分類號】:F274

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本文編號:2126245


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