Institute of Management Science and Engineering, Henan University, Kaifeng 475004, China.
School of Business, Henan University, Kaifeng 475004, China.
Int J Environ Res Public Health. 2019 Jul 30;16(15):2711. doi: 10.3390/ijerph16152711.
This paper studies a low-carbon dual-channel supply chain in which a manufacturer sells products through the direct channel and traditional channel, and a retailer sells products through the traditional channel. The manufacturer considers carbon emission reduction and has fairness concern behavior. The retailer provides sales service in the traditional channel and considers fairness concern behavior. The objective of this paper is to analyze the effects of different parameter values on the price stability and utility of the supply chain system emphatically using 2D bifurcation diagram, parameter plot basin, the basins of attraction, chaos attractor and sensitivity to the initial value, etc. The results find that the retailer's fairness concern behavior shrinks the stability of the supply chain system more than that of the manufacturer's fairness concern behavior. The system stability region decreases with the increase of carbon emission reduction level and the retailer's fairness concern. The customers' preference for the direct channel decreases the stable range of the direct channel, while it enlarges the stable range of the traditional channel. The supply chain system enters into chaos through flip bifurcation with the increase of price adjustment speed. In a stable state, the manufacture improving customer's preference for the direct channel and the retailer choosing the appropriate fairness concern level can achieve the maximum utility separately. In a chaotic state, the average utilities of the manufacturer and retailer all decline, while that of the retailer declines even more. By selecting appropriate control parameter, the low-carbon dual-channel supply chain system can return to a stable state from chaos again. The research of this paper is of great significance to price decisions of participants and supply chain operation management.
本文研究了一个低碳双渠道供应链，其中制造商通过直销渠道和传统渠道销售产品，零售商通过传统渠道销售产品。制造商考虑减少碳排放，并具有公平关切行为。零售商在传统渠道提供销售服务，并考虑公平关切行为。本文的目的是使用二维分岔图、参数图盆地、吸引盆地、混沌吸引子和对初始值的敏感性等方法，重点分析不同参数值对供应链系统价格稳定性和效用的影响。结果发现，零售商的公平关切行为比制造商的公平关切行为更能缩小供应链系统的稳定性。随着碳减排水平和零售商公平关切程度的增加，系统稳定性区域减小。客户对直销渠道的偏好降低了直销渠道的稳定范围，同时扩大了传统渠道的稳定范围。随着价格调整速度的增加，系统通过翻转分岔进入混沌状态。在稳定状态下，制造商提高客户对直销渠道的偏好，零售商选择适当的公平关切水平，可以分别实现最大效用。在混沌状态下，制造商和零售商的平均效用都下降，而零售商的效用下降更多。通过选择适当的控制参数，低碳双渠道供应链系统可以从混沌状态再次回到稳定状态。本文的研究对参与者的价格决策和供应链运营管理具有重要意义。
