动态供应链系统的最优库存控制策略研究
发布时间：2018-07-16 11:30
【摘要】：本文研究了受需求扰动的二级供应链系统前馈反馈最优跟踪库存控制策略、含提前期的多级供应链系统近似最优库存控制策略以及近似最优跟踪库存控制策略.具体内容如下：1.针对二级供应链系统中市场需求扰动引起的牛鞭效应问题,提出了一种基于前馈补偿的最优跟踪库存控制策略.首先,针对需求扰动可模型化为线性外系统的情形,引入了一个渐近稳定的期望系统.然后,基于线性二次型性能指标,给出了受需求扰动的供应链系统的前馈反馈最优跟踪控制器设计方法.控制器的反馈增益和前馈增益可分别通过求解Riccati方程和Stein方程得到.仿真结果表明,提出的前馈反馈最优跟踪控制方法能有效抑制需求扰动对供应链系统的影响,改善供应链系统的动态性能,且该方法明显优于经典的最优跟踪控制.2.研究了具有提前期的多级供应链系统的近似最优库存控制问题,给出了近似最优库存控制器的设计方法.通过引入灵敏度参数,将原问题转化成不含时滞项的一族两点边值问题,然后证明了最优库存控制策略的存在性和惟一性,控制器的反馈增益可通过求解Riccati方程得到.最后利用级数的前n项和近似求解,得到了多级供应链系统的最优库存控制律的近似算法.仿真实例证明了提出的近似最优库存补货策略能有效抑制牛鞭效应,从而改善供应链系统的性能.3.研究了具有提前期的多级供应链系统的近似最优跟踪库存控制问题.通过引入渐近稳定的期望系统,给出了多级供应链系统的近似最优跟踪库存控制器设计方法.其控制器的反馈增益可通过求解Riccati方程和Stein方程得到.最后利用级数的前n项和近似求解,得到了多级供应链系统的最优跟踪库存控制律的近似算法.仿真实例证明了该近似算法能有效抑制提前期对供应链系统的影响.
[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.
【学位授予单位】：中国计量学院
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：F274
[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.
【学位授予单位】：中国计量学院
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：F274
【参考文献】
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