零售商风险规避下双渠道供应链网络均衡模型研究

doi:10.16182/j.issn1004731x.joss.25-0690

系统仿真学报 ›› 2025, Vol. 37 ›› Issue (12): 3050-3059.doi: 10.16182/j.issn1004731x.joss.25-0690

• 论文 • 上一篇

零售商风险规避下双渠道供应链网络均衡模型研究

王红春, 林彩凤, 何心怡, 尹海月

北京建筑大学城市经济与管理学院，北京 100044

收稿日期:2025-07-17 修回日期:2025-11-07 出版日期:2025-12-26 发布日期:2025-12-24
通讯作者: 林彩凤
第一作者简介:王红春(1976-)，女，教授，博士，研究方向为供应链管理。
基金资助:
科技部“十四五”国家重点研发计划(2022YFB3305600)

Dual-channel Supply Chain Network Equilibrium Model Under Retailers’ Risk Aversion

Wang Hongchun, Lin Caifeng, He Xinyi, Yin Haiyue

School of Urban Economics and Management, Beijing University of Civil Engineering and Architecture, Beijing 100044, China

Received:2025-07-17 Revised:2025-11-07 Online:2025-12-26 Published:2025-12-24
Contact: Lin Caifeng

摘要/Abstract

摘要：

为研究零售商风险规避背景下的双渠道供应链网络均衡问题，构建了一个包含多个竞争性供应商、制造商、零售商及需求市场的双渠道供应链网络均衡模型。采用均值-CVaR法量化网络中零售商的风险规避特征，运用变分不等式表征供应链各层级主体的均衡条件。利用投影收缩算法进行模型求解和算例分析，揭示零售商风险规避行为对均衡结果的影响。仿真结果表明：零售商越规避风险，供应链网络成员的整体利润或效用水平越高；零售商自身更倾向于关注期望利润，而网络其他成员则期望其更关注CVaR利润；零售商的风险规避行为会影响需求市场对不同销售渠道的偏好选择。为双渠道供应链网络优化生产定价决策以及管理需求不确定性风险提供理论依据。

关键词: 双渠道, 供应链网络, 风险规避, 变分不等式, 均值-CVaR

Abstract:

To study the network equilibrium problem of dual-channel supply chains under the background of retailers' risk aversion, a dual-channel supply chain network equilibrium model including multiple competitive suppliers, manufacturers, retailers, and demand markets was established. The Mean-CVaR method was employed to quantify retailers' risk aversion characteristics, andvariational inequalities were utilizedto characterize the equilibrium conditions of decision-makers at each tier of the supply chain. The projection contraction algorithm was applied to solve the model and conduct numerical analysis, thereby revealing the impact of retailers' risk aversion behavior on equilibrium outcomes. The simulation results indicate that a higher degree of risk aversion among retailers enhances the overall profit or utility levels of supply chain network members. While retailers tend to prioritize expected profit, other network participants prefer them to focus more on CVaR-based profit. Furthermore, retailers' risk aversion behavior significantly influences demand markets' channel selection preferences.The results provide a theoretical basis for optimizing production and pricing decisions and managing demand uncertainty risks in dual-channel supply chain networks.

Key words: dual-channel, supply chain network, risk aversion, variational inequality, mean-CVaR

中图分类号:

F274

王红春,林彩凤,何心怡等 . 零售商风险规避下双渠道供应链网络均衡模型研究[J]. 系统仿真学报, 2025, 37(12): 3050-3059.

Wang Hongchun,Lin Caifeng,He Xinyi,et al . Dual-channel Supply Chain Network Equilibrium Model Under Retailers’ Risk Aversion[J]. Journal of System Simulation, 2025, 37(12): 3050-3059.

图/表 2

图1

表1

零售商权衡比重、风险规避度变化对双渠道供应链网络均衡的影响

变量	$λ = 0.5$			$λ = 0.6$			$λ = 0.8$
变量	$η = 0.5$	$η = 0.6$	$η = 0.8$	$η = 0.5$	$η = 0.6$	$η = 0.8$	$η = 0.5$	$η = 0.6$	$η = 0.8$
$(q n i) 2 × 2$	1.857 5	1.856 8	1.855 5	1.857 1	1.856 4	1.855 3	1.856 0	1.855 6	1.854 9
$(q i j) 2 × 2$	1.021 2	1.020 2	1.018 5	1.020 6	1.019 7	1.018 2	1.019 1	1.018 5	1.017 7
$(q i d) 2 × 2$	0.836 3	0.836 6	0.837 0	0.836 5	0.836 7	0.837 1	0.836 8	0.837 0	0.837 2
$(d j) 1 × 2$	2.042 5	2.040 5	2.037 1	2.041 3	2.039 5	2.036 6	2.038 4	2.037 2	2.035 5
$(w n i) 2 × 2$	5.829 6	5.827 6	5.824 3	5.828 5	5.826 7	5.823 8	5.825 6	5.824 5	5.822 8
$(w i j) 2 × 2$	11.288 0	11.284 0	11.278 0	11.286 0	11.282 0	11.277 0	11.280 0	11.278 0	11.275 0
$(p j) 1 × 2$	24.480 0	24.504 0	24.545 0	24.494 0	24.516 0	24.551 0	24.529 0	24.543 0	24.563 0
$(p i) 1 × 2$	11.957 0	11.953 0	11.947 0	11.955 0	11.951 0	11.946 0	11.949 0	11.947 0	11.944 0
$(π n) 1 × 2$	7.591 0	7.584 7	7.574 3	7.587 4	7.581 7	7.572 8	7.578 5	7.574 8	7.569 6
$(π i) 1 × 2$	7.250 4	7.245 5	7.237 4	7.247 6	7.243 2	7.236 2	7.240 6	7.237 8	7.233 7
$G (π j) 1 × 2$	13.345 0	10.176 0	5.974 4	14.221 0	11.706 0	8.339 6	15.982 0	14.750 0	13.059 0

表1

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零售商风险规避下双渠道供应链网络均衡模型研究

Dual-channel Supply Chain Network Equilibrium Model Under Retailers’ Risk Aversion

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