American Institute of Mathematical Sciences

Advanced
doi: 10.3934/jimo.2021035

Effects of take-back legislation on pricing and coordination in a closed-loop supply chain

Benrong Zheng and  Xianpei Hong ,

College of Economics & Management, Huazhong Agricultural University, Wuhan, Hubei 430070, China

* Corresponding author: Xianpei Hong

Received  April 2020 Revised  November 2020 Early access  March 2021

Fund Project: The study is supported in part by the Humanities and Social Science project of Ministry of Education of China (Project No. 19YJC630229), Natural Science Foundation of Hubei Province (Project No. 2019CFB120), National Natural Science Foundation of China (Project No. 71672071), and the Fundamental Research Funds for the Central Universities (Project No. 2662020JGPYG14)

This study investigates the effects of take-back legislation and channel structures on pricing, collection, and coordination in a closed-loop supply chain (CLSC). By establishing the centralized, manufacturer-led, and retailer-led CLSC models, we analyze the equilibrium solutions of channel players and the government. We obtain the following results. (1) The manufacturer can accept a higher collection target and exit the market later in the centralized model than in decentralized decision-making models. Moreover, the manufacturer exists the market earlier in the retailer-led model with regulation compared with the manufacturer-led model. (2) The government's optimal collection target is the same under manufacturer-led and retailer-led models when the regulation comes into force. (3) Revenue-sharing and two-part tariff contracts can effectively coordinate manufacturer-led and retailer-led CLSCs under take-back legislation. Finally, we conduct several numerical examples and obtain relevant managerial insights. Our results indicate that the correlation between take-back legislation and channel structure has a significant impact on the pricing and coordination decisions of the CLSC; furthermore, the government should flexibly set the collection target when facing different supply chain and channel power structures in a CLSC.

Keywords: Closed-loop supply chain, remanufacturing, take-back legislation, channel power structure, coordination.
Mathematics Subject Classification: Primary: 90B05, 68W27; Secondary: 68W40.
Citation: Benrong Zheng, Xianpei Hong. Effects of take-back legislation on pricing and coordination in a closed-loop supply chain. Journal of Industrial & Management Optimization, doi: 10.3934/jimo.2021035
References:
[1]

S. Alizamir, F. Iravani and H. Mamani, An analysis of price vs. revenue protection: Government subsidies in the agriculture industry, Management Science, 65 (2018), 1-18.  doi: 10.1287/mnsc.2017.2927.  Google Scholar

[2]

A. Arya and B. Mittendorf, Supply chain consequences of subsidies for corporate social responsibility, Production and Operations Management, 24 (2015), 1346-1357.  doi: 10.1111/poms.12326.  Google Scholar

[3]

A. Atasu, L. N. Van Wassenhove and M. Sarvary, Efficient take-back legislation, Production and Operations Management, 18 (2009), 243-258.  doi: 10.1111/j.1937-5956.2009.01004.x.  Google Scholar

[4]

A. Atasu and L. N. Van Wassenhove, An operations perspective on product take-back legislation for e-waste: Theory, practice, and research needs, Production and Operations Management, 21 (2012), 407-422.  doi: 10.1111/j.1937-5956.2011.01291.x.  Google Scholar

[5]

A. Atasu, L. B. Toktay and L. N. Van Wassenhove., How collection cost structure drives a manufacturer's reverse channel choice, Production and Operations Management, 22 (2013), 1089-1102.  doi: 10.1111/j.1937-5956.2012.01426.x.  Google Scholar

[6]

Q. G. Bai, M. Y. Chen and L. Xu, Revenue and promotional cost-sharing contract versus two-part tariff contract in coordinating sustainable supply chain systems with deteriorating items, International Journal of Production Economics, 187 (2017), 85-101.   Google Scholar

[7]

I. Biswas, A. Raj and S. K. Srivastava, Supply chain channel coordination with triple bottom line approach, Transportation Research Part E: Logistics and Transportation Review, 115 (2018), 213-226.  doi: 10.1016/j.tre.2018.05.007.  Google Scholar

[8]

G. S. Cai, Z. G. Zhang and M. Zhang, Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes, International Journal of Production Economics, 117 (2009), 80-96.  doi: 10.1016/j.ijpe.2008.08.053.  Google Scholar

[9]

C. K. Chen and M. Akmalul Ulya, Analyses of the reward-penalty mechanism in green closed-loop supply chains with product remanufacturing, International Journal of Production Economics, 210 (2019), 211-223.  doi: 10.1016/j.ijpe.2019.01.006.  Google Scholar

[10]

X. Chen and X. J. Wang, Free or bundled: Channel selection decisions under different power structures, Omega, 53 (2015), 11-20.  doi: 10.1016/j.omega.2014.11.008.  Google Scholar

[11]

X. Chen, X. J. Wang and H. K. Chan, Manufacturer and retailer coordination for environmental and economic competitiveness: A power perspective, Transportation Research Part E: Logistics and Transportation Review, 97 (2017), 268-281.  doi: 10.1016/j.tre.2016.11.007.  Google Scholar

[12]

J. Y. Chen, S. Dimitrov and H. Pun, The impact of government subsidy on supply Chains' sustainability innovation, Omega, 86 (2019), 42-58.  doi: 10.1016/j.omega.2018.06.012.  Google Scholar

[13]

P. Chintapalli, S. M. Disney and C. S. Tang, Coordinating supply chains via advance-order discounts, minimum order quantities, and delegations, Production and Operations Management, 26 (2017), 2175-2186.  doi: 10.1111/poms.12751.  Google Scholar

[14]

T. M. Choi, Y. J. Li and L. Xu., Channel leadership, performance and coordination in closed loop supply chains, International Journal of Production Economics, 146 (2013), 371-380.  doi: 10.1016/j.ijpe.2013.08.002.  Google Scholar

[15]

J. Ding, W. Chen and W. Wang, Production and carbon emission reduction decisions for remanufacturing firms under carbon tax and take-back legislation, Computers & Industrial Engineering, 143 (2020), 106419. doi: 10.1016/j.cie.2020.106419.  Google Scholar

[16]

G. Esenduran, A. Atasu and L. N. Van Wassenhove, Valuable e-waste: Implications for extended producer responsibility, IISE Transactions, 51 (2019), 382-396.   Google Scholar

[17]

G. Esenduran, E. Kemahlioglu-Ziya and J. M. Swaminathan, Impact of take-back regulation on the remanufacturing industry, Production and Operations Management, 26 (2017), 924-944.  doi: 10.1111/poms.12673.  Google Scholar

[18]

G. Esenduran and E. Kemahlioglu-Ziya, A comparison of product take-back compliance schemes, Production and Operations Management, 24 (2015), 71-88.  doi: 10.1111/poms.12213.  Google Scholar

[19]

L. Feng, K. Govindan and C. Li, Strategic planning: Design and coordination for dual-recycling channel reverse supply chain considering consumer behavior, European Journal of Operational Research, 260 (2017), 601-612.  doi: 10.1016/j.ejor.2016.12.050.  Google Scholar

[20]

J. H. Gao, H. S. Han, L. T. Hou and H. Y. Wang, Pricing and effort decisions in a closed-loop supply chain under different channel power structures, Journal of Cleaner Production, 112 (2016), 2043-2057.  doi: 10.1016/j.jclepro.2015.01.066.  Google Scholar

[21]

L. Y. Gui, A. Atasu, O. Ergun and L. Toktay, Design incentives under collective extended producer responsibility: A network perspective, Management Science, 64 (2018), 5083-5104.   Google Scholar

[22]

L. Y. Gui, A. Atasu, O. Ergun and L. B. Toktay, Efficient implementation of collective extended producer responsibility legislation, Management Science, 62 (2015), 1098-1123.  doi: 10.1287/mnsc.2015.2163.  Google Scholar

[23]

P. Hasanov, M. Y. Jaber and N. Tahirov, Four-level closed loop supply chain with remanufacturing, Applied Mathematical Modelling, 66 (2019), 141-155.  doi: 10.1016/j.apm.2018.08.036.  Google Scholar

[24]

P. He, Y. He and H. Xu, Channel structure and pricing in a dual-channel closed-loop supply chain with government subsidy, International Journal of Production Economics, 213 (2019), 108-123.  doi: 10.1016/j.ijpe.2019.03.013.  Google Scholar

[25]

Q. He, N. Wang, Z. Yang, Z. He, Zh eng and B. Jiang, Competitive collection under channel inconvenience in closed-loop supply chain, European Journal of Operational Research, 275 (2019), 155-166.  doi: 10.1016/j.ejor.2018.11.034.  Google Scholar

[26]

Y. He, Acquisition pricing and remanufacturing decisions in a closed-loop supply chain, International Journal of Production Economics, 163 (2015), 48-60.  doi: 10.1016/j.ijpe.2015.02.002.  Google Scholar

[27]

Y. He and X. Zhao, Contracts and coordination: Supply chains with uncertain demand and supply, Naval Research Logistics, 63 (2016), 305-319.  doi: 10.1002/nav.21695.  Google Scholar

[28]

X. Hong, L. Wang, Y. Gong and W. Chen, What is the role of value-added service in a remanufacturing closed-loop supply chain?, International Journal of Production Research, 59 (2020), 3342-3361.  doi: 10.1080/00207543.2019.1702230.  Google Scholar

[29]

Z. Hong, H. Wang and Y. Gong, Green product design considering functional-product reference, International Journal of Production Economics, 210 (2019), 155-168.  doi: 10.1016/j.ijpe.2019.01.008.  Google Scholar

[30]

L. Hsiao, Y. J. Chen and H. Xiong, Supply chain coordination with product line design and a revenue sharing scheme, Naval Research Logistics, 66 (2019), 213-229.  doi: 10.1002/nav.21836.  Google Scholar

[31]

X. Huang, A. Atasu and L. B. Toktay, Design implications of extended producer responsibility for durable products, Management Science, 65 (2019), 2573-2590.   Google Scholar

[32]

B. W. Jacobs and R. Subramanian, Sharing responsibility for product recovery across the supply chain, Production and Operations Management, 21 (2012), 85-100.  doi: 10.1111/j.1937-5956.2011.01246.x.  Google Scholar

[33]

Z. J. Ma, Y. S. Ye, Y. Dai and H. Yan, The price of anarchy in closed–loop supply chains, International Transactions in Operational Research, 2019. doi: 10.1111/itor.12743.  Google Scholar

[34]

T. Maiti and B. C. Giri, A closed loop supply chain under retail price and product quality dependent demand, Journal of Manufacturing Systems, 37 (2015), 624-637.  doi: 10.1016/j.jmsy.2014.09.009.  Google Scholar

[35]

S. Mitra and S. Webster, Competition in remanufacturing and the effects of government subsidies, International Journal of Production Economics, 111 (2008), 287-298.  doi: 10.1016/j.ijpe.2007.02.042.  Google Scholar

[36]

G. Raz and G. C. Souza, Recycling as a strategic supply source, Production and Operations Management, 27 (2018), 902-916.  doi: 10.1111/poms.12851.  Google Scholar

[37]

S. Sarkar, S. Tiwari, H. M. Wee and B. C. Giri, Channel coordination with price discount mechanism under price–sensitive market demand, International Transactions in Operational Research, 27 (2020), 2509-2533.  doi: 10.1111/itor.12678.  Google Scholar

[38]

R. C. Savaskan, S. Bhattacharya and L. N. Van Wassenhove, Closed-loop supply chain models with product remanufacturing, Management Science, 50 (2004), 133-279.  doi: 10.1287/mnsc.1030.0186.  Google Scholar

[39]

R. C. Savaskan and L. N. Van Wassenhove, Reverse channel design: The case of competing retailers, Management Science, 52 (2006), 1-14.  doi: 10.1287/mnsc.1050.0454.  Google Scholar

[40]

M. A. Sieke, R. W. Seifert and U. W. Thonemann, Designing service level contracts for supply chain coordination, Production and Operations Management, 21 (2012), 698-714.  doi: 10.1111/j.1937-5956.2011.01301.x.  Google Scholar

[41]

R. Sousa, E. Agante, J. Cerejeira and M. Portela, EEE fees and the WEEE system-A model of efficiency and income in European countries, Waste Management, 79 (2018), 770-780.  doi: 10.1016/j.wasman.2018.08.008.  Google Scholar

[42]

R. Subramanian, S. Gupta and F. B. Talbot, Product design and supply chain coordination under extended producer responsibility, Production and Operations Management, 18 (2009), 259-277.   Google Scholar

[43]

F. Toyasaki, T. Boyaci and V. Verter, An analysis of monopolistic and competitive take-back schemes for WEEE recycling, Production and Operations Management, 20 (2011), 805-823.  doi: 10.1111/j.1937-5956.2010.01207.x.  Google Scholar

[44]

W. B. Wang, S. Q. Yang, L. Xu and X. L. Yang, Carrot/stick mechanisms for collection responsibility sharing in multi-tier closed-loop supply chain management, Transportation Research Part E: Logistics and Transportation Review, 125 (2019), 366-387.  doi: 10.1016/j.tre.2019.03.002.  Google Scholar

[45]

N. Wang, Y. Song, Q. He and T. Jia, Competitive dual-collecting regarding consumer behavior and coordination in closed-loop supply chain, Computers & Industrial Engineering, 144 (2020), 106481. doi: 10.1016/j.cie.2020.106481.  Google Scholar

[46]

J. Wei and J. Zhao, Reverse channel decisions for a fuzzy closed-loop supply chain, Applied Mathematical Modelling, 37 (2013), 1502-1513.  doi: 10.1016/j.apm.2012.04.003.  Google Scholar

[47]

C. H. Wu, Price and service competition between new and remanufactured products in a two-echelon supply chain, International Journal of Production Economics, 140 (2012), 496-507.  doi: 10.1016/j.ijpe.2012.06.034.  Google Scholar

[48]

W. Xiao, C. Gaimon, R. Subramanian and M. Biehl, Investment in environmental process improvement, Production and Operations Management, 28 (2019), 407-420.  doi: 10.1111/poms.12927.  Google Scholar

[49]

G. Xie, Modeling decision processes of a green supply chain with regulation on energy saving level, Computers & Operations Research, 54 (2015), 266-273.  doi: 10.1016/j.cor.2013.11.020.  Google Scholar

[50]

L. Yang, G. S. Cai and J. Chen, Push, pull, and supply chain risk averse attitude, Production and Operations Management, 27 (2018), 1534-1552.   Google Scholar

[51]

A. Yenipazarli, Managing new and remanufactured products to mitigate environmental damage under emissions regulation, European Journal of Operational Research, 249 (2016), 117-130.  doi: 10.1016/j.ejor.2015.08.020.  Google Scholar

[52]

C. T. Zhang and M. L. Ren, Closed-loop supply chain coordination strategy for the remanufacture of patented products under competitive demand, Applied Mathematical Modelling, 40 (2016), 6243-6255.  doi: 10.1016/j.apm.2016.02.006.  Google Scholar

[53]

B. Zheng, C. Yang, J. Yang and M. Zhang, Dual-channel closed loop supply chains: Forward channel competition, power structures and coordination, International Journal of Production Research, 55 (2017), 3510-3527.  doi: 10.1080/00207543.2017.1304662.  Google Scholar

[54]

B. Zheng, N. Yu, L. Jin and H. Xia, Effects of power structure on manufacturer encroachment in a closed-loop supply chain, Computers & Industrial Engineering, 137 (2019), 106062. doi: 10.1016/j.cie.2019.106062.  Google Scholar

[55]

J. Zhu, C. Fan, H. Shi and L. Shi, Efforts for a circular economy in China: A comprehensive review of policies, Journal of Industrial Ecology, 23 (2019), 110-118.  doi: 10.1111/jiec.12754.  Google Scholar

show all references

References:
[1]

S. Alizamir, F. Iravani and H. Mamani, An analysis of price vs. revenue protection: Government subsidies in the agriculture industry, Management Science, 65 (2018), 1-18.  doi: 10.1287/mnsc.2017.2927.  Google Scholar

[2]

A. Arya and B. Mittendorf, Supply chain consequences of subsidies for corporate social responsibility, Production and Operations Management, 24 (2015), 1346-1357.  doi: 10.1111/poms.12326.  Google Scholar

[3]

A. Atasu, L. N. Van Wassenhove and M. Sarvary, Efficient take-back legislation, Production and Operations Management, 18 (2009), 243-258.  doi: 10.1111/j.1937-5956.2009.01004.x.  Google Scholar

[4]

A. Atasu and L. N. Van Wassenhove, An operations perspective on product take-back legislation for e-waste: Theory, practice, and research needs, Production and Operations Management, 21 (2012), 407-422.  doi: 10.1111/j.1937-5956.2011.01291.x.  Google Scholar

[5]

A. Atasu, L. B. Toktay and L. N. Van Wassenhove., How collection cost structure drives a manufacturer's reverse channel choice, Production and Operations Management, 22 (2013), 1089-1102.  doi: 10.1111/j.1937-5956.2012.01426.x.  Google Scholar

[6]

Q. G. Bai, M. Y. Chen and L. Xu, Revenue and promotional cost-sharing contract versus two-part tariff contract in coordinating sustainable supply chain systems with deteriorating items, International Journal of Production Economics, 187 (2017), 85-101.   Google Scholar

[7]

I. Biswas, A. Raj and S. K. Srivastava, Supply chain channel coordination with triple bottom line approach, Transportation Research Part E: Logistics and Transportation Review, 115 (2018), 213-226.  doi: 10.1016/j.tre.2018.05.007.  Google Scholar

[8]

G. S. Cai, Z. G. Zhang and M. Zhang, Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes, International Journal of Production Economics, 117 (2009), 80-96.  doi: 10.1016/j.ijpe.2008.08.053.  Google Scholar

[9]

C. K. Chen and M. Akmalul Ulya, Analyses of the reward-penalty mechanism in green closed-loop supply chains with product remanufacturing, International Journal of Production Economics, 210 (2019), 211-223.  doi: 10.1016/j.ijpe.2019.01.006.  Google Scholar

[10]

X. Chen and X. J. Wang, Free or bundled: Channel selection decisions under different power structures, Omega, 53 (2015), 11-20.  doi: 10.1016/j.omega.2014.11.008.  Google Scholar

[11]

X. Chen, X. J. Wang and H. K. Chan, Manufacturer and retailer coordination for environmental and economic competitiveness: A power perspective, Transportation Research Part E: Logistics and Transportation Review, 97 (2017), 268-281.  doi: 10.1016/j.tre.2016.11.007.  Google Scholar

[12]

J. Y. Chen, S. Dimitrov and H. Pun, The impact of government subsidy on supply Chains' sustainability innovation, Omega, 86 (2019), 42-58.  doi: 10.1016/j.omega.2018.06.012.  Google Scholar

[13]

P. Chintapalli, S. M. Disney and C. S. Tang, Coordinating supply chains via advance-order discounts, minimum order quantities, and delegations, Production and Operations Management, 26 (2017), 2175-2186.  doi: 10.1111/poms.12751.  Google Scholar

[14]

T. M. Choi, Y. J. Li and L. Xu., Channel leadership, performance and coordination in closed loop supply chains, International Journal of Production Economics, 146 (2013), 371-380.  doi: 10.1016/j.ijpe.2013.08.002.  Google Scholar

[15]

J. Ding, W. Chen and W. Wang, Production and carbon emission reduction decisions for remanufacturing firms under carbon tax and take-back legislation, Computers & Industrial Engineering, 143 (2020), 106419. doi: 10.1016/j.cie.2020.106419.  Google Scholar

[16]

G. Esenduran, A. Atasu and L. N. Van Wassenhove, Valuable e-waste: Implications for extended producer responsibility, IISE Transactions, 51 (2019), 382-396.   Google Scholar

[17]

G. Esenduran, E. Kemahlioglu-Ziya and J. M. Swaminathan, Impact of take-back regulation on the remanufacturing industry, Production and Operations Management, 26 (2017), 924-944.  doi: 10.1111/poms.12673.  Google Scholar

[18]

G. Esenduran and E. Kemahlioglu-Ziya, A comparison of product take-back compliance schemes, Production and Operations Management, 24 (2015), 71-88.  doi: 10.1111/poms.12213.  Google Scholar

[19]

L. Feng, K. Govindan and C. Li, Strategic planning: Design and coordination for dual-recycling channel reverse supply chain considering consumer behavior, European Journal of Operational Research, 260 (2017), 601-612.  doi: 10.1016/j.ejor.2016.12.050.  Google Scholar

[20]

J. H. Gao, H. S. Han, L. T. Hou and H. Y. Wang, Pricing and effort decisions in a closed-loop supply chain under different channel power structures, Journal of Cleaner Production, 112 (2016), 2043-2057.  doi: 10.1016/j.jclepro.2015.01.066.  Google Scholar

[21]

L. Y. Gui, A. Atasu, O. Ergun and L. Toktay, Design incentives under collective extended producer responsibility: A network perspective, Management Science, 64 (2018), 5083-5104.   Google Scholar

[22]

L. Y. Gui, A. Atasu, O. Ergun and L. B. Toktay, Efficient implementation of collective extended producer responsibility legislation, Management Science, 62 (2015), 1098-1123.  doi: 10.1287/mnsc.2015.2163.  Google Scholar

[23]

P. Hasanov, M. Y. Jaber and N. Tahirov, Four-level closed loop supply chain with remanufacturing, Applied Mathematical Modelling, 66 (2019), 141-155.  doi: 10.1016/j.apm.2018.08.036.  Google Scholar

[24]

P. He, Y. He and H. Xu, Channel structure and pricing in a dual-channel closed-loop supply chain with government subsidy, International Journal of Production Economics, 213 (2019), 108-123.  doi: 10.1016/j.ijpe.2019.03.013.  Google Scholar

[25]

Q. He, N. Wang, Z. Yang, Z. He, Zh eng and B. Jiang, Competitive collection under channel inconvenience in closed-loop supply chain, European Journal of Operational Research, 275 (2019), 155-166.  doi: 10.1016/j.ejor.2018.11.034.  Google Scholar

[26]

Y. He, Acquisition pricing and remanufacturing decisions in a closed-loop supply chain, International Journal of Production Economics, 163 (2015), 48-60.  doi: 10.1016/j.ijpe.2015.02.002.  Google Scholar

[27]

Y. He and X. Zhao, Contracts and coordination: Supply chains with uncertain demand and supply, Naval Research Logistics, 63 (2016), 305-319.  doi: 10.1002/nav.21695.  Google Scholar

[28]

X. Hong, L. Wang, Y. Gong and W. Chen, What is the role of value-added service in a remanufacturing closed-loop supply chain?, International Journal of Production Research, 59 (2020), 3342-3361.  doi: 10.1080/00207543.2019.1702230.  Google Scholar

[29]

Z. Hong, H. Wang and Y. Gong, Green product design considering functional-product reference, International Journal of Production Economics, 210 (2019), 155-168.  doi: 10.1016/j.ijpe.2019.01.008.  Google Scholar

[30]

L. Hsiao, Y. J. Chen and H. Xiong, Supply chain coordination with product line design and a revenue sharing scheme, Naval Research Logistics, 66 (2019), 213-229.  doi: 10.1002/nav.21836.  Google Scholar

[31]

X. Huang, A. Atasu and L. B. Toktay, Design implications of extended producer responsibility for durable products, Management Science, 65 (2019), 2573-2590.   Google Scholar

[32]

B. W. Jacobs and R. Subramanian, Sharing responsibility for product recovery across the supply chain, Production and Operations Management, 21 (2012), 85-100.  doi: 10.1111/j.1937-5956.2011.01246.x.  Google Scholar

[33]

Z. J. Ma, Y. S. Ye, Y. Dai and H. Yan, The price of anarchy in closed–loop supply chains, International Transactions in Operational Research, 2019. doi: 10.1111/itor.12743.  Google Scholar

[34]

T. Maiti and B. C. Giri, A closed loop supply chain under retail price and product quality dependent demand, Journal of Manufacturing Systems, 37 (2015), 624-637.  doi: 10.1016/j.jmsy.2014.09.009.  Google Scholar

[35]

S. Mitra and S. Webster, Competition in remanufacturing and the effects of government subsidies, International Journal of Production Economics, 111 (2008), 287-298.  doi: 10.1016/j.ijpe.2007.02.042.  Google Scholar

[36]

G. Raz and G. C. Souza, Recycling as a strategic supply source, Production and Operations Management, 27 (2018), 902-916.  doi: 10.1111/poms.12851.  Google Scholar

[37]

S. Sarkar, S. Tiwari, H. M. Wee and B. C. Giri, Channel coordination with price discount mechanism under price–sensitive market demand, International Transactions in Operational Research, 27 (2020), 2509-2533.  doi: 10.1111/itor.12678.  Google Scholar

[38]

R. C. Savaskan, S. Bhattacharya and L. N. Van Wassenhove, Closed-loop supply chain models with product remanufacturing, Management Science, 50 (2004), 133-279.  doi: 10.1287/mnsc.1030.0186.  Google Scholar

[39]

R. C. Savaskan and L. N. Van Wassenhove, Reverse channel design: The case of competing retailers, Management Science, 52 (2006), 1-14.  doi: 10.1287/mnsc.1050.0454.  Google Scholar

[40]

M. A. Sieke, R. W. Seifert and U. W. Thonemann, Designing service level contracts for supply chain coordination, Production and Operations Management, 21 (2012), 698-714.  doi: 10.1111/j.1937-5956.2011.01301.x.  Google Scholar

[41]

R. Sousa, E. Agante, J. Cerejeira and M. Portela, EEE fees and the WEEE system-A model of efficiency and income in European countries, Waste Management, 79 (2018), 770-780.  doi: 10.1016/j.wasman.2018.08.008.  Google Scholar

[42]

R. Subramanian, S. Gupta and F. B. Talbot, Product design and supply chain coordination under extended producer responsibility, Production and Operations Management, 18 (2009), 259-277.   Google Scholar

[43]

F. Toyasaki, T. Boyaci and V. Verter, An analysis of monopolistic and competitive take-back schemes for WEEE recycling, Production and Operations Management, 20 (2011), 805-823.  doi: 10.1111/j.1937-5956.2010.01207.x.  Google Scholar

[44]

W. B. Wang, S. Q. Yang, L. Xu and X. L. Yang, Carrot/stick mechanisms for collection responsibility sharing in multi-tier closed-loop supply chain management, Transportation Research Part E: Logistics and Transportation Review, 125 (2019), 366-387.  doi: 10.1016/j.tre.2019.03.002.  Google Scholar

[45]

N. Wang, Y. Song, Q. He and T. Jia, Competitive dual-collecting regarding consumer behavior and coordination in closed-loop supply chain, Computers & Industrial Engineering, 144 (2020), 106481. doi: 10.1016/j.cie.2020.106481.  Google Scholar

[46]

J. Wei and J. Zhao, Reverse channel decisions for a fuzzy closed-loop supply chain, Applied Mathematical Modelling, 37 (2013), 1502-1513.  doi: 10.1016/j.apm.2012.04.003.  Google Scholar

[47]

C. H. Wu, Price and service competition between new and remanufactured products in a two-echelon supply chain, International Journal of Production Economics, 140 (2012), 496-507.  doi: 10.1016/j.ijpe.2012.06.034.  Google Scholar

[48]

W. Xiao, C. Gaimon, R. Subramanian and M. Biehl, Investment in environmental process improvement, Production and Operations Management, 28 (2019), 407-420.  doi: 10.1111/poms.12927.  Google Scholar

[49]

G. Xie, Modeling decision processes of a green supply chain with regulation on energy saving level, Computers & Operations Research, 54 (2015), 266-273.  doi: 10.1016/j.cor.2013.11.020.  Google Scholar

[50]

L. Yang, G. S. Cai and J. Chen, Push, pull, and supply chain risk averse attitude, Production and Operations Management, 27 (2018), 1534-1552.   Google Scholar

[51]

A. Yenipazarli, Managing new and remanufactured products to mitigate environmental damage under emissions regulation, European Journal of Operational Research, 249 (2016), 117-130.  doi: 10.1016/j.ejor.2015.08.020.  Google Scholar

[52]

C. T. Zhang and M. L. Ren, Closed-loop supply chain coordination strategy for the remanufacture of patented products under competitive demand, Applied Mathematical Modelling, 40 (2016), 6243-6255.  doi: 10.1016/j.apm.2016.02.006.  Google Scholar

[53]

B. Zheng, C. Yang, J. Yang and M. Zhang, Dual-channel closed loop supply chains: Forward channel competition, power structures and coordination, International Journal of Production Research, 55 (2017), 3510-3527.  doi: 10.1080/00207543.2017.1304662.  Google Scholar

[54]

B. Zheng, N. Yu, L. Jin and H. Xia, Effects of power structure on manufacturer encroachment in a closed-loop supply chain, Computers & Industrial Engineering, 137 (2019), 106062. doi: 10.1016/j.cie.2019.106062.  Google Scholar

[55]

J. Zhu, C. Fan, H. Shi and L. Shi, Efforts for a circular economy in China: A comprehensive review of policies, Journal of Industrial Ecology, 23 (2019), 110-118.  doi: 10.1111/jiec.12754.  Google Scholar

Figure 1.  Effects of $ \tau_g $ on equilibrium prices $ w^{*} $ and $ p^{*} $
Figure Options

Download full-size image

Download as PowerPoint slide

Figure 2.  Effect of $ \tau_g $ on equilibrium profits
Figure Options

Download full-size image

Download as PowerPoint slide

Figure 3.  Effects of $ \kappa $ and $ \chi $ on equilibrium collection target $ \tau_g^{*} $
Figure Options

Download full-size image

Download as PowerPoint slide

Figure 4.  Effects of $ \Delta $ on contract parameters $ \phi^{*} $ and $ F^{*} $
Figure Options

Download full-size image

Download as PowerPoint slide

Table 1.  Comparison of our study and related literature
Research paper Take-back legislation CLSC power structure Supply chain coordination Endogenous government's decision
Choi et al. [14] $ \surd $ $ \surd $
Chen et al. [11] $ \surd $ $ \surd $
He et al. [25] $ \surd $
Zheng et al. [54] $ \surd $
Bai et al. [6] $ \surd $
Zheng et al. [53] $ \surd $ $ \surd $
Wang et al. [45] $ \surd $
Toyasaki et al. [43] $ \surd $ $ \surd $
Esenduran and Kemahlioglu-Ziya [18] $ \surd $ $ \surd $
Subramanian et al. [42] $ \surd $ $ \surd $ $ \surd $
Jacobs and Subramanian [32] $ \surd $ $ \surd $
Chen and Akmalul Ulya [9] $ \surd $
Alizamir et al. [1] $ \surd $ $ \surd $
Our work $ \surd $ $ \surd $ $ \surd $ $ \surd $
Table Options

Download as excel

Research paper Take-back legislation CLSC power structure Supply chain coordination Endogenous government's decision
Choi et al. [14] $ \surd $ $ \surd $
Chen et al. [11] $ \surd $ $ \surd $
He et al. [25] $ \surd $
Zheng et al. [54] $ \surd $
Bai et al. [6] $ \surd $
Zheng et al. [53] $ \surd $ $ \surd $
Wang et al. [45] $ \surd $
Toyasaki et al. [43] $ \surd $ $ \surd $
Esenduran and Kemahlioglu-Ziya [18] $ \surd $ $ \surd $
Subramanian et al. [42] $ \surd $ $ \surd $ $ \surd $
Jacobs and Subramanian [32] $ \surd $ $ \surd $
Chen and Akmalul Ulya [9] $ \surd $
Alizamir et al. [1] $ \surd $ $ \surd $
Our work $ \surd $ $ \surd $ $ \surd $ $ \surd $
Table 2.  Basic parameter set
Parameter $ a $ $ b $ $ c_m $ $ \Delta $ $ f $ $ C_L $
Initial value $ 200 $ $ 10 $ $ 10 $ $ 8 $ $ 10 $ $ 900 $
Table Options

Download as excel

Parameter $ a $ $ b $ $ c_m $ $ \Delta $ $ f $ $ C_L $
Initial value $ 200 $ $ 10 $ $ 10 $ $ 8 $ $ 10 $ $ 900 $
Table 3.  Comparison of equilibrium decisions in CLSC under RS contract
recycling is not constrained recycling is constrained
Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $ Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $
$ w^{*} $ $ 14.51 $ $ 11.96 $ $ 3.14 $ $ 25.68 $ $ - $ $ w^{*} $ $ 13.80 $ $ 10.70 $ $ 3.04 $ $ 25.20 $ $ - $
$ p^{*} $ $ 17.26 $ $ 16.96 $ $ 13.92 $ $ 13.92 $ $ 13.92 $ $ p^{*} $ $ 16.90 $ $ 16.90 $ $ 13.80 $ $ 13.80 $ $ 13.80 $
$ \tau^{*} $ $ 0.12 $ $ 0.14 $ $ 0.27 $ $ 0.27 $ $ 0.27 $ $ \tau^{*} $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $
$ \pi_M^{*} $ $ 127.20 $ $ 66.01 $ $ 146.14 $ $ 72.18 $ $ - $ $ \pi_M^{*} $ $ 101.20 $ $ 5.10 $ $ 139.64 $ $ 62.76 $ $ - $
$ \pi_R^{*} $ $ 75.29 $ $ 152.00 $ $ 147.92 $ $ 221.88 $ $ - $ $ \pi_R^{*} $ $ 96.10 $ $ 192.20 $ $ 153.76 $ $ 230.64 $ $ - $
$ \pi_{T}^{*} $ $ 202.49 $ $ 218.01 $ $ 294.10 $ $ 294.10 $ $ 294.10 $ $ \pi_{T}^{*} $ $ 197.30 $ $ 197.30 $ $ 293.40 $ $ 293.40 $ $ 293.40 $
Table Options

Download as excel

recycling is not constrained recycling is constrained
Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $ Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $
$ w^{*} $ $ 14.51 $ $ 11.96 $ $ 3.14 $ $ 25.68 $ $ - $ $ w^{*} $ $ 13.80 $ $ 10.70 $ $ 3.04 $ $ 25.20 $ $ - $
$ p^{*} $ $ 17.26 $ $ 16.96 $ $ 13.92 $ $ 13.92 $ $ 13.92 $ $ p^{*} $ $ 16.90 $ $ 16.90 $ $ 13.80 $ $ 13.80 $ $ 13.80 $
$ \tau^{*} $ $ 0.12 $ $ 0.14 $ $ 0.27 $ $ 0.27 $ $ 0.27 $ $ \tau^{*} $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $
$ \pi_M^{*} $ $ 127.20 $ $ 66.01 $ $ 146.14 $ $ 72.18 $ $ - $ $ \pi_M^{*} $ $ 101.20 $ $ 5.10 $ $ 139.64 $ $ 62.76 $ $ - $
$ \pi_R^{*} $ $ 75.29 $ $ 152.00 $ $ 147.92 $ $ 221.88 $ $ - $ $ \pi_R^{*} $ $ 96.10 $ $ 192.20 $ $ 153.76 $ $ 230.64 $ $ - $
$ \pi_{T}^{*} $ $ 202.49 $ $ 218.01 $ $ 294.10 $ $ 294.10 $ $ 294.10 $ $ \pi_{T}^{*} $ $ 197.30 $ $ 197.30 $ $ 293.40 $ $ 293.40 $ $ 293.40 $
Table 4.  Comparison of equilibrium decisions under TPT contract
recycling is not constrained recycling is constrained
Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $ Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $
$ w^{*} $ $ 14.51 $ $ 11.96 $ $ 7.84 $ $ 13.92 $ $ - $ $ w^{*} $ $ 13.80 $ $ 10.70 $ $ 7.60 $ $ 13.80 $ $ - $
$ p^{*} $ $ 17.26 $ $ 16.96 $ $ 13.92 $ $ 13.92 $ $ 13.92 $ $ p^{*} $ $ 16.90 $ $ 16.90 $ $ 13.80 $ $ 13.80 $ $ 13.80 $
$ \tau^{*} $ $ 0.12 $ $ 0.14 $ $ 0.27 $ $ 0.27 $ $ 0.27 $ $ \tau^{*} $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $
$ \pi_M^{*} $ $ 127.20 $ $ 66.01 $ $ 139.30 $ $ 79.05 $ $ - $ $ \pi_M^{*} $ $ 101.20 $ $ 5.10 $ $ 124.00 $ $ 78.40 $ $ - $
$ \pi_R^{*} $ $ 75.29 $ $ 152.00 $ $ 154.80 $ $ 215.05 $ $ - $ $ \pi_R^{*} $ $ 96.10 $ $ 192.20 $ $ 169.40 $ $ 215.00 $ $ - $
$ \pi_{T}^{*} $ $ 202.49 $ $ 218.01 $ $ 294.10 $ $ 294.10 $ $ 294.10 $ $ \pi_{T}^{*} $ $ 197.30 $ $ 197.30 $ $ 293.40 $ $ 293.40 $ $ 293.40 $
Table Options

Download as excel

recycling is not constrained recycling is constrained
Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $ Model $ DM $ $ DR $ $ CM $ $ CR $ $ I $
$ w^{*} $ $ 14.51 $ $ 11.96 $ $ 7.84 $ $ 13.92 $ $ - $ $ w^{*} $ $ 13.80 $ $ 10.70 $ $ 7.60 $ $ 13.80 $ $ - $
$ p^{*} $ $ 17.26 $ $ 16.96 $ $ 13.92 $ $ 13.92 $ $ 13.92 $ $ p^{*} $ $ 16.90 $ $ 16.90 $ $ 13.80 $ $ 13.80 $ $ 13.80 $
$ \tau^{*} $ $ 0.12 $ $ 0.14 $ $ 0.27 $ $ 0.27 $ $ 0.27 $ $ \tau^{*} $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $ $ 0.30 $
$ \pi_M^{*} $ $ 127.20 $ $ 66.01 $ $ 139.30 $ $ 79.05 $ $ - $ $ \pi_M^{*} $ $ 101.20 $ $ 5.10 $ $ 124.00 $ $ 78.40 $ $ - $
$ \pi_R^{*} $ $ 75.29 $ $ 152.00 $ $ 154.80 $ $ 215.05 $ $ - $ $ \pi_R^{*} $ $ 96.10 $ $ 192.20 $ $ 169.40 $ $ 215.00 $ $ - $
$ \pi_{T}^{*} $ $ 202.49 $ $ 218.01 $ $ 294.10 $ $ 294.10 $ $ 294.10 $ $ \pi_{T}^{*} $ $ 197.30 $ $ 197.30 $ $ 293.40 $ $ 293.40 $ $ 293.40 $
[1]

Wenbin Wang, Peng Zhang, Junfei Ding, Jian Li, Hao Sun, Lingyun He. Closed-loop supply chain network equilibrium model with retailer-collection under legislation. Journal of Industrial & Management Optimization, 2019, 15 (1) : 199-219. doi: 10.3934/jimo.2018039
[2]

Zhidan Wu, Xiaohu Qian, Min Huang, Wai-Ki Ching, Hanbin Kuang, Xingwei Wang. Channel leadership and recycling channel in closed-loop supply chain: The case of recycling price by the recycling party. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020116
[3]

Dingzhong Feng, Xiaofeng Zhang, Ye Zhang. Collection decisions and coordination in a closed-loop supply chain under recovery price and service competition. Journal of Industrial & Management Optimization, 2021  doi: 10.3934/jimo.2021117
[4]

Yi Jing, Wenchuan Li. Integrated recycling-integrated production - distribution planning for decentralized closed-loop supply chain. Journal of Industrial & Management Optimization, 2018, 14 (2) : 511-539. doi: 10.3934/jimo.2017058
[5]

Reza Lotfi, Yahia Zare Mehrjerdi, Mir Saman Pishvaee, Ahmad Sadeghieh, Gerhard-Wilhelm Weber. A robust optimization model for sustainable and resilient closed-loop supply chain network design considering conditional value at risk. Numerical Algebra, Control & Optimization, 2021, 11 (2) : 221-253. doi: 10.3934/naco.2020023
[6]

Abdolhossein Sadrnia, Amirreza Payandeh Sani, Najme Roghani Langarudi. Sustainable closed-loop supply chain network optimization for construction machinery recovering. Journal of Industrial & Management Optimization, 2021, 17 (5) : 2389-2414. doi: 10.3934/jimo.2020074
[7]

Maedeh Agahgolnezhad Gerdrodbari, Fatemeh Harsej, Mahboubeh Sadeghpour, Mohammad Molani Aghdam. A robust multi-objective model for managing the distribution of perishable products within a green closed-loop supply chain. Journal of Industrial & Management Optimization, 2021  doi: 10.3934/jimo.2021107
[8]

Masoud Mohammadzadeh, Alireza Arshadi Khamseh, Mohammad Mohammadi. A multi-objective integrated model for closed-loop supply chain configuration and supplier selection considering uncertain demand and different performance levels. Journal of Industrial & Management Optimization, 2017, 13 (2) : 1041-1064. doi: 10.3934/jimo.2016061
[9]

Xiao-Xu Chen, Peng Xu, Jiao-Jiao Li, Thomas Walker, Guo-Qiang Yang. Decision-making in a retailer-led closed-loop supply chain involving a third-party logistics provider. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2021014
[10]

Fatemeh Kangi, Seyed Hamid Reza Pasandideh, Esmaeil Mehdizadeh, Hamed Soleimani. The optimization of a multi-period multi-product closed-loop supply chain network with cross-docking delivery strategy. Journal of Industrial & Management Optimization, 2021  doi: 10.3934/jimo.2021118
[11]

Xiaochen Sun, Fei Hu, Yancong Zhou, Cheng-Chew Lim. Optimal acquisition, inventory and production decisions for a closed-loop manufacturing system with legislation constraint. Journal of Industrial & Management Optimization, 2015, 11 (4) : 1355-1373. doi: 10.3934/jimo.2015.11.1355
[12]

Chong Zhang, Yaxian Wang, Ying Liu, Haiyan Wang. Coordination contracts for a dual-channel supply chain under capital constraints. Journal of Industrial & Management Optimization, 2021, 17 (3) : 1485-1504. doi: 10.3934/jimo.2020031
[13]

Yanhua Feng, Xuhui Xia, Lei Wang, Zelin Zhang. Pricing and coordination of competitive recycling and remanufacturing supply chain considering the quality of recycled products. Journal of Industrial & Management Optimization, 2021  doi: 10.3934/jimo.2021089
[14]

Simon Hochgerner. Symmetry actuated closed-loop Hamiltonian systems. Journal of Geometric Mechanics, 2020, 12 (4) : 641-669. doi: 10.3934/jgm.2020030
[15]

Xiaohong Chen, Kui Li, Fuqiang Wang, Xihua Li. Optimal production, pricing and government subsidy policies for a closed loop supply chain with uncertain returns. Journal of Industrial & Management Optimization, 2020, 16 (3) : 1389-1414. doi: 10.3934/jimo.2019008
[16]

Justine Yasappan, Ángela Jiménez-Casas, Mario Castro. Stabilizing interplay between thermodiffusion and viscoelasticity in a closed-loop thermosyphon. Discrete & Continuous Dynamical Systems - B, 2015, 20 (9) : 3267-3299. doi: 10.3934/dcdsb.2015.20.3267
[17]

Feimin Zhong, Jinxing Xie, Yuwei Shen. Bargaining in a multi-echelon supply chain with power structure: KS solution vs. Nash solution. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020172
[18]

Juliang Zhang. Coordination of supply chain with buyer's promotion. Journal of Industrial & Management Optimization, 2007, 3 (4) : 715-726. doi: 10.3934/jimo.2007.3.715
[19]

Na Song, Ximin Huang, Yue Xie, Wai-Ki Ching, Tak-Kuen Siu. Impact of reorder option in supply chain coordination. Journal of Industrial & Management Optimization, 2017, 13 (1) : 449-475. doi: 10.3934/jimo.2016026
[20]

Jun Pei, Panos M. Pardalos, Xinbao Liu, Wenjuan Fan, Shanlin Yang, Ling Wang. Coordination of production and transportation in supply chain scheduling. Journal of Industrial & Management Optimization, 2015, 11 (2) : 399-419. doi: 10.3934/jimo.2015.11.399

2020 Impact Factor: 1.801

Tools

Article outline

Figures and Tables

[Back to Top]

Copyright © 2021 American Institute of Mathematical Sciences