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The distributionally robust optimization model for a remanufacturing system under cap-and-trade policy: a newsvendor approach

Author

Listed:
  • Qingguo Bai

    (Qufu Normal University
    Qufu Normal University)

  • Jianteng Xu

    (Qufu Normal University
    Concordia University)

  • Yuzhong Zhang

    (Qufu Normal University
    Qufu Normal University)

Abstract

This paper considers a remanufacturing system in which the remanufacturer uses both the fresh raw material and recycled material to produce new products. Only partial information of the demand distribution, including the mean and variance, is available in this system. The operational activities of the remanufacturer are major contributors to carbon emissions, and a government agency imposes a cap-and-trade (carbon emission trading) policy on the remanufacturer. In the context of the distributionally robust newsvendor model, a maxmin approach is used to solve the optimal joint collection and production quantities. To study whether implementation of a cap-and-trade policy improves the remanufacturer’s expected profit and reduces corresponding carbon emissions, the case where the government agency does not impose cap-and-trade policy is considered and compared. Finally, numerical analysis is conducted to illustrate and complement the analytical results and to investigate the influences of several main parameters on the distributionally robust newsvendor model for the remanufacturing system under a cap-and-trade policy.

Suggested Citation

  • Qingguo Bai & Jianteng Xu & Yuzhong Zhang, 2022. "The distributionally robust optimization model for a remanufacturing system under cap-and-trade policy: a newsvendor approach," Annals of Operations Research, Springer, vol. 309(2), pages 731-760, February.
  • Handle: RePEc:spr:annopr:v:309:y:2022:i:2:d:10.1007_s10479-020-03642-4
    DOI: 10.1007/s10479-020-03642-4
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    1. Choi, Tsan-Ming, 2013. "Local sourcing and fashion quick response system: The impacts of carbon footprint tax," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 55(C), pages 43-54.
    2. Song, Shuang & Govindan, Kannan & Xu, Lei & Du, Peng & Qiao, Xiaojiao, 2017. "Capacity and production planning with carbon emission constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 132-150.
    3. Liao, Yi & Banerjee, Avijit & Yan, Changyuan, 2011. "A distribution-free newsvendor model with balking and lost sales penalty," International Journal of Production Economics, Elsevier, vol. 133(1), pages 224-227, September.
    4. Ren, Jie & Chen, Xi & Hu, Jian, 2020. "The effect of production- versus consumption-based emission tax under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 219(C), pages 82-98.
    5. Akshay Mutha & Saurabh Bansal & V. Daniel R. Guide, 2016. "Managing Demand Uncertainty through Core Acquisition in Remanufacturing," Production and Operations Management, Production and Operations Management Society, vol. 25(8), pages 1449-1464, August.
    6. Anh Ninh & Honggang Hu & David Allen, 2019. "Robust newsvendor problems: effect of discrete demands," Annals of Operations Research, Springer, vol. 275(2), pages 607-621, April.
    7. Berk, Emre & Gurler, Ulku & Levine, Richard A., 2007. "Bayesian demand updating in the lost sales newsvendor problem: A two-moment approximation," European Journal of Operational Research, Elsevier, vol. 182(1), pages 256-281, October.
    8. S. Du & F. Ma & Z. Fu & L. Zhu & J. Zhang, 2015. "Game-theoretic analysis for an emission-dependent supply chain in a ‘cap-and-trade’ system," Annals of Operations Research, Springer, vol. 228(1), pages 135-149, May.
    9. Shi, Jianmai & Zhang, Guoqing, 2010. "Multi-product budget-constrained acquisition and pricing with uncertain demand and supplier quantity discounts," International Journal of Production Economics, Elsevier, vol. 128(1), pages 322-331, November.
    10. Alfares, Hesham K. & Elmorra, Hassan H., 2005. "The distribution-free newsboy problem: Extensions to the shortage penalty case," International Journal of Production Economics, Elsevier, vol. 93(1), pages 465-477, January.
    11. Radhi, Mohannad & Zhang, Guoqing, 2019. "Optimal cross-channel return policy in dual-channel retailing systems," International Journal of Production Economics, Elsevier, vol. 210(C), pages 184-198.
    12. Fuqiang Zhang & Renyu Zhang, 2018. "Trade-in Remanufacturing, Customer Purchasing Behavior, and Government Policy," Manufacturing & Service Operations Management, INFORMS, vol. 20(4), pages 601-616, October.
    13. Senlin Zhao & Qinghua Zhu, 2017. "Remanufacturing supply chain coordination under the stochastic remanufacturability rate and the random demand," Annals of Operations Research, Springer, vol. 257(1), pages 661-695, October.
    14. Wang, Qifei & Li, Jianbin & Yan, Hong & Zhu, Stuart X., 2016. "Optimal remanufacturing strategies in name-your-own-price auctions with limited capacity," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 113-129.
    15. Raza, Syed Asif & Rathinam, Sivakumar, 2017. "A risk tolerance analysis for a joint price differentiation and inventory decisions problem with demand leakage effect," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 129-145.
    16. Manikas, Andrew S. & Kroes, James R., 2015. "A newsvendor approach to compliance and production under cap and trade emissions regulation," International Journal of Production Economics, Elsevier, vol. 159(C), pages 274-284.
    17. Biyu Liu & Martin Holmbom & Anders Segerstedt & Weida Chen, 2015. "Effects of carbon emission regulations on remanufacturing decisions with limited information of demand distribution," International Journal of Production Research, Taylor & Francis Journals, vol. 53(2), pages 532-548, January.
    18. Wang, Chong & Chen, Jing & Chen, Xu, 2017. "Pricing and order decisions with option contracts in the presence of customer returns," International Journal of Production Economics, Elsevier, vol. 193(C), pages 422-436.
    19. He, Yuanjie, 2017. "Supply risk sharing in a closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 39-52.
    20. Rosič, Heidrun & Jammernegg, Werner, 2013. "The economic and environmental performance of dual sourcing: A newsvendor approach," International Journal of Production Economics, Elsevier, vol. 143(1), pages 109-119.
    21. Zhang, Guoqing, 2010. "The multi-product newsboy problem with supplier quantity discounts and a budget constraint," European Journal of Operational Research, Elsevier, vol. 206(2), pages 350-360, October.
    22. Chuang, Chia-Hung & Wang, Charles X. & Zhao, Yabing, 2014. "Closed-loop supply chain models for a high-tech product under alternative reverse channel and collection cost structures," International Journal of Production Economics, Elsevier, vol. 156(C), pages 108-123.
    23. Kwon, Kysang & Cheong, Taesu, 2014. "A minimax distribution-free procedure for a newsvendor problem with free shipping," European Journal of Operational Research, Elsevier, vol. 232(1), pages 234-240.
    24. Lee, Chih-Ming & Hsu, Shu-Lu, 2011. "The effect of advertising on the distribution-free newsboy problem," International Journal of Production Economics, Elsevier, vol. 129(1), pages 217-224, January.
    25. Govindan, Kannan & Soleimani, Hamed & Kannan, Devika, 2015. "Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future," European Journal of Operational Research, Elsevier, vol. 240(3), pages 603-626.
    26. Mostard, Julien & de Koster, Rene & Teunter, Ruud, 2005. "The distribution-free newsboy problem with resalable returns," International Journal of Production Economics, Elsevier, vol. 97(3), pages 329-342, September.
    27. Kevork, Ilias S., 2010. "Estimating the optimal order quantity and the maximum expected profit for single-period inventory decisions," Omega, Elsevier, vol. 38(3-4), pages 218-227, June.
    28. Arıkan, Emel & Jammernegg, Werner, 2014. "The single period inventory model under dual sourcing and product carbon footprint constraint," International Journal of Production Economics, Elsevier, vol. 157(C), pages 15-23.
    29. Mohannad Radhi & Guoqing Zhang, 2016. "Optimal configuration of remanufacturing supply network with return quality decision," International Journal of Production Research, Taylor & Francis Journals, vol. 54(5), pages 1487-1502, March.
    30. R. Canan Savaskan & Shantanu Bhattacharya & Luk N. Van Wassenhove, 2004. "Closed-Loop Supply Chain Models with Product Remanufacturing," Management Science, INFORMS, vol. 50(2), pages 239-252, February.
    31. Paul Rowe & Burak Eksioglu & Sandra Eksioglu, 2017. "Recycling procurement strategies with variable yield suppliers," Annals of Operations Research, Springer, vol. 249(1), pages 215-234, February.
    32. Biswajit Sarkar & Chong Zhang & Arunava Majumder & Mitali Sarkar & Yong Won Seo, 2018. "A distribution free newsvendor model with consignment policy and retailer’s royalty reduction," International Journal of Production Research, Taylor & Francis Journals, vol. 56(15), pages 5025-5044, August.
    33. Lan Wang & Gangshu (George) Cai & Andy A. Tsay & Asoo J. Vakharia, 2017. "Design of the Reverse Channel for Remanufacturing: Must Profit-Maximization Harm the Environment?," Production and Operations Management, Production and Operations Management Society, vol. 26(8), pages 1585-1603, August.
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    6. Jianteng Xu & Peng Wang & Qi Xu, 2022. "Impact of Information Asymmetry on the Operation of Green Closed-Loop Supply Chain under Government Regulation," Sustainability, MDPI, vol. 14(13), pages 1-18, June.
    7. Jianteng Xu & Qingguo Bai & Qian Luo, 2023. "Energy conservation strategy and coordination of a closed-loop supply chain with risk-averse members under carbon tax regulation," Operational Research, Springer, vol. 23(3), pages 1-39, September.

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