Study on Complex Dynamics for the Waste Electrical and Electronic Equipment Recycling Activities Oligarchs Closed-loop Supply Chain

Nowadays, with more and more WEEE (Waste Electrical and Electronic Equipment) being abandoned, WEEE recycling activities are increasingly popular. In this paper, we build a closed-loop supply chain model and focus on the recycling behaviors of the members in this supply chain, which contains two manufacturers, the retailer and the consumer. In the reverse chain, we set up dual channels and design two recycling methods: sell-back method and trade-in method. We use classical backward induction to run the model. And then we analyze the stability of the system and the impacts of some essential parameters by numerical simulation. The speed of the manufacture’s decision adjustment has a significant effect on the stability of the model. When the decision variables of manufacturers go into instability, the profits of both manufacturers and the retailer have a profit loss in multiple cycles on average. The lower production cost of manufacturer 1 will increase the retailer's profit and self-profit, while manufacturer 2's profit will decrease. And the smaller price coefficient of the retailer can bring higher profits but aggravate the chaotic condition, and the stability of the whole system will decrease. In the end, we adopt the parameter control method and the decision-making method to control chaos, and they both have a good control effect.