MPC Control and Simulation of a Mixed Recovery Dual Channel Closed-Loop Supply Chain with Lead Time

The dual-channel closed-loop supply chain (CLSC) which is composed of one manufacturer and one retailer under uncertain demand of an indirect channel is constructed. In this paper, we establish three pricing models under decentralized decision making, namely, the Nash game between the manufacturer and the retailer, the manufacturer-Stackelberg game, and the retailer-Stackelberg game, to investigate pricing decisions of the CLSC in which the manufacturer uses the direct channel and indirect channel to sell products and entrusts the retailer to collect the used products. We numerically analyze the impact of customer acceptance of the direct channel (θ) on pricing decisions and excepted profits of the CLSC. The results show that when the variableθchanges in a certain range, the wholesale price, retail price, and expected profits of the retailer all decrease whenθincreases, while the direct online sales price and manufacturer’s expected profits in the retailer-Stackelberg game all increase whenθincreases. However, the optimal recycling transfer price and optimal acquisition price of used product are unaffected byθ.

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Dynamic Pricing Game in a Dual-channel Closed-loop Supply Chain with Heterogeneous Players and Delay Decision

10.21203/rs.3.rs-430480/v1 ◽

2021 ◽

Author(s):

Yuhao Zhang ◽

Tao Zhang

Keyword(s):

Supply Chain ◽

Nash Equilibrium ◽

Dynamic Pricing ◽

Closed Loop ◽

Stackelberg Game ◽

Consumer Preference ◽

Direct Channel ◽

Closed Loop Supply Chain ◽

Dual Channel ◽

Delay Decision

Abstract In this paper, we study a dual-channel closed-loop supply chain(CLSC), where the manufacturer wholesales the new product through the traditional retail channel and distributes the remanufactured product via a direct channel established by himself. We focus on developing two dynamic Stackelberg game models under the assumption of the retailer is an adaptive agent and the manufacturer is a bounded rational player with non-delay and delay decisions. The existence and locally asymptotic stability of Nash equilibrium is investigated, and also the complex dynamics of each model is illustrated including period-doubling bifurcation, Neimark-Sacker bifurcation, strange attractor and chaotic phenomena. Numerical simulations are conducted to examine the impacts of key parameters on the complex behaviors of the long-run dynamic Stackelberg game and the performance of chain members under various scenarios. The results reveal that the excessively high value of the price adjustment speed of the manufacturer, the consumer discount perception for the remanufactured product as well as the consumer preference degree to the direct channel have adestabilization effect on the Nash equilibrium. Besides, the delay decision adopted by manufacturer no matter in the traditional or direct channel does not always necessarily make the system more stable, but the appropriately delay weights can expand the stability domain of the system. Moreover, the manufacturer would suffer a significant profit loss while the retailer can capture more profits when the dual-channel CLSC system falls into periodic cycles and chaos motions. At last, the variable feedback control method is utilized to eliminate the delayed system chaos.

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