Abstract:Aiming at the three-level closed-loop supply chain system composed of manufacturers, recyclers and consumers, chaos control theory is used to solve the chaotic control problem of closed-loop supply chains under three channel recovery modes. Firstly, the uncertainty of consumer's demand for remanufactured products is considered, over a period of time, data on the number of consumer resourcepurchases of remanufactured products are collected. The method of K-S test proves that the data obeys the uniform distribution, and further constructs the discrete dynamic model based on the decision variable. Secondly, using MATLAB software to simulate numerical simulation, study the recovery price sensitivity coefficient and the recovery price competition coefficient as fixed values, the manufacturer and the two recyclers draw a fork map, the largest Lyapunov index map, the initial value sensitive analysis map, and the system's chaotic characteristics and primary value sensitivity analysis. Finally, the chaotic system is controlled by means of state feedback control and parameter adjustment. The results show that this method can effectively improve or eliminate chaotic state, optimize decision-making behavior and improve the profit of decision makers.
董海, 徐德珉. 三渠道回收模式下闭环供应链混沌控制研究[J]. 复杂系统与复杂性科学, 2020, 17(1): 55-61.
DONG Hai, XU Demin. Research on Chaos and Control of Closed-Loop Supply Chain under Three Channel Recovery Modes. Complex Systems and Complexity Science, 2020, 17(1): 55-61.
[1]Maiti T, Giri B C. A closed loop supply chainunder retail price and productquality dependent demand[J]. Journal of Manufacturing Systems, 2015, 37(9):624-637. [2]Jun M Z, Zhang N, Dai Y. Managing channel profits of different cooperative models in closed loop supply chains[J]. Omega, 2016, 59(6):251-262. [3]王晶,王寻.受约束供应链模型的复杂动力学行为[J]. 系统工程理论与实践,2012, 32(4): 746-751. Wang jing, Wang xun. Complex dynamic behavior of constrained supply chain model[J]. System Engineering-Theory & Practice, 2012, 32(4): 746-751. [4]Zhang J L, Ma J H. Research on the price game model for four oligarchs with different decision rules and its chaos control[J]. Nonlinear Dynamics, 2012, 70(1): 323-334. [5]陈彬,马军海.新旧产品具有价差的CLSC复杂性分析与混沌控制[J]. 复杂系统与复杂性科学,2014, 11(3): 40-49. Chen bin, Ma jinhai. Complex analysis and chaos control of a Closed-Loop Supply Chain based on new and old products price difference[J]. Complex Systems and Complexity Science, 2014, 11(3): 40-49. [6]Ma J H, Xie L. The comparison and complex analysis on dual channel supply chain under different channel power structures and uncertain demand[J]. Nonlinear Dynamics, 2016, 83(3): 1379-1393. [7]高飞,曹文静.三维供应链分数阶差分博弈模型的动力学分析[J]. 计算机工程与应用, 2018, 54(2): 246-252. Gao fei, Cao wenjing. Dynamic analysis of the three-dimensional supply chain score order differential game model[J]. Computer Engineering and Applications, 2018, 54(2): 246-252. [8]Goksu A, Kocamaz U E, Uyaroglu Y. Synchronization and control of chaos in supply chain management[J]. Computer& Industrial Engineering, 2015, 86(9): 107-115. [9]Chang J W, Zhao L W. Complexity analysis of dynamic cooperative game models for supply chain with the remanufactured products[J]. Discrete Dynamics in Nature and Society, 2018(7): 1-10. [10] Dai D M, Si F S, Wang J. Stability and complexity analysis of a dual channel closed loop supply chain with delayed decision under government intervention[J]. Entropy, 2017,19(11): 1-21. [11] Ma J H, Yu M, Ren H. Research on the complexity and chaos control about a closed loop supply chain with dual channel recycling and uncertain consumer perception[J]. Complexity, 2018, (1): 1-13. [12] Ma J, Wang H. Complexity analyzing of dynamic noncooperative game models for closed-loop supply chain with product recovery[J]. Applied Mathematical Modelling: Simulation and Computation for Engineering and Environmental Systems, 2014, 38(23): 5562-5572. [13] Vlachos D, Georgiadis P, Iakovou E. A system dynamics model for dynamic capacity planning of remanufacturing in closed-loop supply chains[J]. Computers and Operations Research, 2007, 34(2): 367-394. [14] Lu J C, Tsao Y C, Dong M. Dynamic decision-marking in a two-stage supply chain with repeated transactions[J]. International Journal of Production Economics, 2012, 137(2): 211-225. [15] Huang M, Song M, Lee L H. Analysis for strategy of closed loop supply chain with dual recycling channel[J]. International Journal of Production Economics, 2013, 144(2): 510-520.