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Retracted article: Research on closed-loop supply chain coordination control model based on difference equation load model. (English) Zbl 1441.39018

J. Difference Equ. Appl. 25, No. 9-10, 1290-1301 (2019); retraction note ibid. 29, No. 5, i (2023).
Summary: This paper systematically summarizes the basic theory of closed-loop supply chain, expounds the difference equation model and the parameter dispersion of differential equation load model, and uses the difference equation to describe the dynamic model based on closed-loop supply chain network. Then the dynamic model of closed-loop supply chain network is established, and the basic theory of model predictive control is expounded. Finally, an inventory balance state space model is established for a closed-loop supply chain considering recycling centre, and a case study is carried out. Get the performance curve of production and inventory. Through the model predictive control method, it is proved that in the case of control variable production/order, the whole system is gradually stable, and when the stock level is controlled at a certain position, the cost can be reduced.

MSC:

39A60 Applications of difference equations
91B55 Economic dynamics
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