Chinese Journal of Management Science ›› 2024, Vol. 32 ›› Issue (5): 158-170.doi: 10.16381/j.cnki.issn1003-207x.2021.1138
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Daoping Wang(),Ke Zhang,Yu Zhou
Received:
2021-06-07
Revised:
2021-11-17
Online:
2024-05-25
Published:
2024-06-06
Contact:
Daoping Wang
E-mail:dpwang@ ustb.edu.cn
CLC Number:
Daoping Wang,Ke Zhang,Yu Zhou. Differential Game of Closed-Loop Supply Chain with Dynamic Stochastic Recovery Rate under Reward-penalty Mechanism of Government[J]. Chinese Journal of Management Science, 2024, 32(5): 158-170.
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符号 | 含义 |
---|---|
wi (t) | 模式i下制造商在t时刻批发给零售商的批发价格,为制造商的决策变量 |
pi (t) | 模式i下零售商在t时刻售卖给消费者的零售价格,为零售商的决策变量 |
cn | 制造商制造新品的单位生产成本 |
Δ | 废弃电器电子产品再制造所带来的利润残值 |
Ai (t) | 模式i下制造商t时刻的回收努力投入水平,为制造商的决策变量 |
τi (t) | 模式i下废弃电器电子产品的回收率(0<τ<1) |
ρ | 回收投入系数(ρ>0) |
σ | 回收率衰减系数(σ>0) |
δ(τi (t)) | 回收率的波动率 |
dz(t) | 标准维纳过程 |
k | 制造商回收废弃电器电子产品的难度系数(k>0) |
τ0 | 政府对闭环供应链成员设置的目标回收率 |
b | 政府对闭环供应链成员设置的奖惩力度(b>0) |
a | 市场的潜在需求(a>0) |
β | 需求对零售价格的敏感系数(0<β<1) |
η | 需求对回收率的敏感系数(0<η<1) |
μ | 零售商承担的回收责任分担比例(0<μ<1) |
制造商在t时刻的利润 | |
零售商在t时刻的利润 | |
模式i下制造商最优利润函数 | |
模式i下零售商最优利润函数 | |
r | 市场利率(由市场上供求关系决定的信贷实际利率) |
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模式 | b | τ∞ | w∞ | p∞ | A∞ | p∞-w∞ |
---|---|---|---|---|---|---|
N | 任意值 | 0.11 | 0.6277 | 0.95 | 0.11 | 0.32 |
M | 0.0 | 0.11 | 0.6277 | 0.95 | 0.11 | 0.32 |
0.1 | 0.23 | 0.6307 | 1.03 | 0.23 | 0.40 | |
0.2 | 0.35 | 0.6337 | 1.11 | 0.35 | 0.48 | |
0.3 | 0.47 | 0.6366 | 1.19 | 0.47 | 0.55 | |
0.4 | 0.59 | 0.6396 | 1.27 | 0.59 | 0.63 | |
0.5 | 0.71 | 0.6426 | 1.35 | 0.71 | 0.71 | |
C | 0.0 | 0.11 | 0.6277 | 0.95 | 0.11 | 0.32 |
0.1 | 0.18 | 0.6277 | 0.10 | 0.18 | 0.37 | |
0.2 | 0.25 | 0.6295 | 1.05 | 0.25 | 0.41 | |
0.3 | 0.32 | 0.6331 | 1.09 | 0.32 | 0.46 | |
0.4 | 0.40 | 0.6349 | 1.14 | 0.40 | 0.51 | |
0.5 | 0.47 | 0.6367 | 1.19 | 0.47 | 0.55 |
1 | Zeng X, Gong R, Chen W Q, et al. Uncovering the recycling potential of “New”WEEE in China[J].Environmental Science &Technology,2016,50(3):1347-1358. |
2 | Savaskan R C, Bhattacharya S, Wassenhove L N V.Closed-loop supply chain models with product remanufacturing[J].Management Science,2004,50(2):239-252. |
3 | Choi T M, Li Y J, Xu L.Channel leadership, performance and coordination in closed loop supply chains[J].International Journal of Production Economics, 2013, 146(1):371-380. |
4 | 姚锋敏,刘珊,胡宪武,等.公平关切下零售商主导闭环供应链的定价策略[J].运筹与管理,2020,29(8):120-127. |
Yao F M, Liu S, Hu X W, et al. Pricing strategies for closed-loop supply chain with dominant retailer considering fairness concerns[J].Operations Research and management,2020,29(8):120-127. | |
5 | 王文宾,丁军飞,王智慧,等.回收责任分担视角下零售商主导闭环供应链的政府奖惩机制研究[J].中国管理科学,2019,27(7):127-136. |
Wang W B, Ding J F, Wang Z H, et al.Reward-penalty mechanism ofgovernment for retailer-led closed-loop supply chain under collection responsibility sharing[J]. Chinese Journal of Management Science,2019,27(7):127-136. | |
6 | 王婷婷,南国芳.基于博弈论的零售商产品回收决策模型[J].系统工程学报,2015,30(6):790-803. |
Wang T T, Nan G F.Decision making model based on game theory for retailerrecycling mode[J].Journal of Systems Engineering,2015,30(6):790-803. | |
7 | 李晓静,艾兴政,唐小我.竞争性供应链下再制造产品的回收渠道研究[J].管理工程学报,2016,30(3):90-98. |
Li X J, Ai X Z, Tang X W. Research on collecting strategies in the closed-loop supply chain with chain to chain competition[J].Journal of Management Engineering,2016,30(3):90-98. | |
8 | 曹柬,杨晓丽,吴思思,等.考虑再制造成本的闭环供应链回收渠道决策[J].工业工程与管理,2020,25(1):152-160+179. |
Cao J, Yang X L, Wu S S,et al. Recycling channel selections in the closed-loop supply chain considering remanufacturing cost[J]. Industrial Engineering and Management,2020,25(1):152-160+179. | |
9 | 陈军,田大钢.闭环供应链模型下的产品回收模式选择[J].中国管理科学,2017,25(1): 88-97. |
Chen J, Tian D G. Selection of product recovery mode under closed-loop supply Chain model[J]. Chinese Journal of Management Science, 2017, 25(1): 88-97. | |
10 | 张汉江,余华英,李聪颖.闭环供应链上的回收激励契约设计与政府补贴再制造政策的优化[J].中国管理科学,2016,24(8):71-78. |
Zhang H J, Yu H Y, Li C Y. Incentive contract design and optimization of government subsidies policy in the closed-loop supply chain[J]. Chinese Journal of Management Science,2016,24(8):71-78. | |
11 | Subramoniama R, Huisingh D, Chinnam R B.Remanufacturing for the automotive after market-strategic factors:Literature review and future research needs[J].Journal of Cleaner Production,2009,17(13):1163-1174. |
12 | 王玉燕,苏梅,王晓迪.政府奖励机制下闭环供应链的利他关切性决策[J].中国管理科学,2022,30(11):105-116. |
Wang Y Y, Su M, Wang X D. Altruistic decision-making of closed-loop supply chain under government incentive mechanism[J]. Chinese Journal of Management Science,2022,30(11):105-116. | |
13 | 孟丽君,黄祖庆,张宝友,等.闭环供应链再制品消费补贴政策模型分析[J].中国管理科学,2021,29(8):148-160. |
Meng L J, Huang Z Q, Zhang B Y, et al. Model of considering the government consumption-subsidy policy for comsumer in the closed-loop supply chain[J]. Chinese Journal of Management Science,2021,29(8):148-160. | |
14 | 石纯来,舒夕珂,胡培.奖惩机制对混合回收闭环供应链中制造商合作的影响[J].管理工程学报,2020,34(5):178-189. |
Shi C L, Shu X K, Hu P. Alliance with the recycler in the hybrid-recycling closed-loop supply chain under premium and penalty mechanism?[J].Journal of Management Engineering,2020,34(5):178-189. | |
15 | 姚锋敏,闫颍洛,刘珊,等.政府补贴下考虑CSR投入的闭环供应链回收及定价决策[J].运筹与管理,2021,30(6):69-76. |
Yao F M, Yan Y L, Liu S, et al.Recycling and pricing decision for closed-loop supply chain considering corporate social responsibility investment under government’s subsidy[J]. Operations Research and management,2021,30(6):69-76. | |
16 | 王建华,邓一鸣,黄贤凤.奖惩机制下闭环供应链非正规渠道社会效应研究[J].运筹与管理,2020,29(12):161-165. |
Wang J H, Deng Y M, Huang X F. Social effect of informal channel in closed-loop supply chain under reward and punishment mechanism[J]. Operations Research and Management,2020,29(12):161-165. | |
17 | 张盼,余莉婷,熊中楷.政府奖惩下闭环供应链中信息不对称时的最优合同设计[J].中国管理科学,2020,28(5):89-100. |
Zhang P, Yu L T, Xiong Z K. Designing contracts for a closed-loop supply chain with information asymmetry under the government’s reward-penalty mechanism[J]. Chinese Journal of Management Science,2020,28(5):89-100. | |
18 | 刘慧慧, 黄涛, 雷明.废旧电器电子产品双渠道回收模型及政府补贴作用研究[J].中国管理科学,2013,21(2): 123-131. |
Liu H H, Huang T, Lei M. Research on dual-channel recycling model of waste electrical and electronic products and government subsidy[J]. Chinese Journal of Management Science, 2013, 21(2): 123-131. | |
19 | 孙浩,张桂涛,钟永光,等.政府补贴下制造商回收的多期闭环供应链网络均衡[J].中国管理科学,2015,23(1):56-64. |
Sun H, Zhang G T, Zhong Y G,et al.The equilibrium of multi-period closed-loop supply chain network with manufacturer-collection channel under government subsidies[J]. Chinese Journal of Management Science,2015,23(1):56-64. | |
20 | Giovanni P D, Reddy P V, Zaccour G.Incentive strategies for an optimal recovery program in a closed-loop supply chain[J].European Journal of Operational Research, 2016,249(2):605-661. |
21 | 王文宾,邓雯雯.逆向供应链的政府奖惩机制与税收-补贴机制比较研究[J].中国管理科学,2016,24(4):102-110. |
Wang W B, Deng W W. Comparison between the reward-penalty mechanism with the tax-subsidy mechanism for reverse supply chains[J]. Chinese Journal of Management Science,2016,24(4):102-110. | |
22 | 马德青,胡劲松.考虑利他行为偏好的动态闭环供应链微分博弈[J].系统管理学报,2020,29(5):974-986. |
Ma D Q, Hu J S. Differential game of dynamic closed-loop supply chain considering altruistic behavior preference[J].Journal of Systems Management,2020,29(5):974-986. | |
23 | 鲁馨蔓,李艳霞,王君,等.云服务供应链技术创新与动态定价的微分博弈分析[J].运筹与管理,2020,29(6):49-57. |
Lu X M, Li Y X, Wang J, et al.Differential game analysis of technological innovation and dynamic pricing in the cloud service supply chain[J].Operations Research and Management,2020,29(6):49-57. | |
24 | 罗福周,王文心.考虑产品绿色度的闭环供应链政府补贴策略研究[J].工业工程,2020,23(6):18-27. |
Luo F Z, Wang W X.Research on government subsidy strategy of closed-loop supply chain considering product green degree[J].Industrial Engineering,2020,23(6):18-27. |
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