规模不经济下考虑企业社会责任投入的闭环供应链回收渠道选择

doi:10.6040/j.issn.1671-9352.0.2023.330

摘要/Abstract

摘要：

针对制造商实施企业社会责任(corporate social responsibility, CSR)投入的闭环供应链，在规模不经济的背景下，构建制造商主导的Stackelberg博弈模型，研究制造商回收、零售商回收和第三方回收的定价与CSR投入决策及回收渠道选择策略。研究表明：(1) 3种回收模式中，消费者CSR投入敏感程度的增加会促进回收, 提高定价并增加CSR投入，规模不经济程度的增大会提高销售价格, 减少回收和CSR投入。在制造商回收或第三方回收或零售商回收且回收效率较低时，批发价格与规模不经济程度呈正相关。(2) 消费者CSR投入敏感程度会降低规模不经济程度对成员利润的负面影响，但规模不经济程度会抑制消费者CSR投入敏感程度对成员利润的正面影响。(3) 从提高CSR投入水平、回收率以及整体经济利润的角度，当再制造节约生产成本较多时，制造商回收更好，当再制造节约生产成本较少且规模不经济程度较低时，零售商回收更优。(4) 当规模不经济程度较低时，主导者制造商的先动优势消失。

关键词: 闭环供应链, 企业社会责任, 规模不经济, 回收渠道

Abstract:

Focusing on the closed-loop supply chain with manufacturer's CSR investment, the paper constructs a manufacturer-led Stackelberg game model to comparatively analyze the pricing, CSR investment decision making, and the recycling channel selection strategies of manufacturer recycling, retailer recycling, and third-party recycling in the context of diseconomies of scale. Results indicate that: (1) In the three recycling models, the increase of customers' sensitivity to CSR investment promotes recycling, raises pricing and CSR investment, while the phenomenon of diseconomies of scale entails the increasing of sale price and shrinking in both recycling rate and CSR investment. Wholesale prices are positively correlated with diseconomies of scale in cases of manufacturer recycling, third-party recycling and retailer recycling with low recycling efficiency. (2) Customers' CSR investment sensitivity reduces the negative impact of diseconomies of scale on members' profits, while diseconomies of scale inhibits the positive effect of the sensitivity of consumers' CSR investment on members' profits. (3) From the perspective of improving CSR investment level, recycling rate and overall economic benefits, it is optimal for the manufacturer to recycle when remanufacturing saves more production costs, otherwise, the retailer recycling strategy to be the best under the background of lower diseconomies of scale. (4) Once the diseconomies of scale is in the lower range, the first-mover advantage of the dominant manufacturer disappears.

Key words: closed-loop supply chain, corporate social responsibility, diseconomies of scale, recycling channel

中图分类号:

F273

郭婷婷,李娜. 规模不经济下考虑企业社会责任投入的闭环供应链回收渠道选择[J]. 《山东大学学报(理学版)》, 2024, 59(9): 42-55.

Tingting GUO,Na LI. Recycling channel selection of closed-loop supply chain considering corporate social responsibility investment under diseconomies of scale[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(9): 42-55.

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变量符号	含义	变量符号	含义
w	批发价格	Δ	再制造节约生产成本
e	CSR投入水平	q_d	市场需求量
τ	回收率	q_r	回收数量
p	销售价格	h	规模不经济系数
α	市场容量	k	回收成本系数
β	消费者价格敏感系数	θ	CSR投入成本系数
λ	消费者CSR投入敏感系数	π_Lⁱ	i模式下L的利润，i={M, R, T}分别表示制造商回收、零售商回收和第三方回收，L={m, r, t, s}分别表示制造商、零售商、第三方和闭环供应链系统
b	单位转移支付
c_m	新产品生产成本
c_r	再制造产品生产成本

变量	M模式(i=M)	R模式(i=R)	T模式(i=T)
w^i*	$\frac{\alpha\left(A_7-\beta \mathit{\Delta }^2\right) \theta+k A_8 c_{\mathrm{m}}}{A_1}$	$\frac{\alpha\left[A_7+b \beta(b-2 \mathit{\Delta })\right] \theta+\left(k A_8-b^2 \beta^2 \theta\right) c_{\mathrm{m}}}{A_2}$	$\frac{\left.\alpha[ A_7+2 b \beta(b-\mathit{\Delta })\right] \theta+k A_8 c_{\mathrm{m}}}{A_3}$
e^i*	$\frac{k \lambda A_4}{A_1}$	$\frac{k \lambda A_4}{A_2}$	$\frac{k \lambda A_4}{A_3}$
τ^i*	$\frac{\mathit{\Delta } \beta \theta A_4}{A_1}$	$\frac{b \beta \theta A_4}{A_2}$	$\frac{b \beta \theta A_4}{A_3}$
p^i*	$\frac{\alpha\left(A_7+k-\beta \mathit{\Delta }^2\right) \theta+k A_8 c_{\mathrm{m}}}{A_1}$	$\frac{\alpha\left(A_7+k-2 b \beta \mathit{\Delta }\right) \theta+k A_8 c_{\mathrm{m}}}{A_2}$	$\frac{\alpha\left[A_7+k+2 b \beta(b-\mathit{\Delta })\right] \theta+k A_8 c_{\mathrm{m}}}{A_3}$
q_d^i*	$\frac{k \beta \theta A_4}{A_1}$	$\frac{k \beta \theta A_4}{A_2}$	$\frac{k \beta \theta A_4}{A_3}$
q_r^i*	$\frac{k \beta^2 \mathit{\Delta } \theta^2 A_4^2}{A_1^2}$	$\frac{b k \beta^2 \theta^2 A_4^2}{A_2^2}$	$\frac{b k \beta^2 \theta^2 A_4^2}{A_3^2}$
π_m^i*	$\frac{k \theta A_4^2}{A_1}$	$\frac{k \theta A_4^2}{A_2}$	$\frac{k \theta A_4^2}{A_3}$
π_r^i*	$\frac{k \theta \beta A_4^2}{A_1^2}$	$\frac{k \beta A_5 \theta^2 A_4^2}{2 A_2^2}$	$\frac{k \theta \beta A_4^2}{A_3^2}$
π_t^i*			$\frac{b^2 k \beta^2 \theta^2 A_4^2}{2 A_3^2}$
π_S^i*	$\frac{k \theta\left(k A_{10}-\beta^2 \mathit{\Delta }^2 \theta\right) A_4^2}{2 A_1^2}$	$\frac{k \theta\left[k A_{10}-b \beta^2(b+2 \mathit{\Delta }) \theta\right] A_4^2}{2 A_2^2}$	$\frac{k \theta\left[b \beta^2(3 b-2 \mathit{\Delta }) \theta+k A_{10} \theta\right] A_4^2}{2 A_3^2}$

	h	λ	w^M*	w^R*	w^T*	p^M*	p^R*	p^T*	q_d^M*	q_d^R*	q_d^T*	q_r^M*	q_r^R*	q_r^T*
b=12 (即Δ < 2b)	1	1.2	31.96	32.78	32.35	33.68	33.74	33.58	1.03	1.21	0.74	0.13	0.11	0.04
	1	1.5	33.01	34.69	33.13	35.63	36.31	34.77	1.57	2.04	0.99	0.30	0.31	0.07
	2	1.5	33.11	34.17	34.18	34.89	35.18	34.44	1.07	1.27	0.76	0.14	0.12	0.04
b=8 (即Δ>2b)	1	1.2	31.96	32.78	32.35	33.68	33.63	33.58	1.03	0.89	0.74	0.13	0.04	0.03
	1	1.5	33.01	33.56	33.13	35.63	35.20	34.77	1.57	1.28	0.99	0.30	0.08	0.05
	2	1.5	33.11	33.50	33.17	34.89	34.68	34.44	1.07	0.93	0.76	0.14	0.04	0.03

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