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A selective survey of game-theoretic models of closed-loop supply chains

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Abstract

This paper surveys two key issues in Closed-loop Supply Chain (CLSC) research: return functions and coordination mechanisms. The return function provides the rule according to which end-of-life/use products are returned to a collector. The coordination mechanisms consist of the adoption of a certain mechanism (e.g., a contract) to align the closed-loop supply chain members’ objectives. We describe latest thinking in these two major CLSC-related fields and suggest future research directions to be undertaken.

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Notes

  1. We were somehow surprised that no papers were found in some operations research journals. To be on the safe side, we double checked by searching each of the following journals individually : Manufacturing and Service Operations Management, Decision Science, Production Planning and Control, Transportation Science, 4OR, Operations Research, Production and Operations Management and OR Spectrum.

  2. Most of the papers reported in this section draw on Savaskan et al. (2004) and typically maximize one or more objective(s) with respect to the return rate. Needless to say that, throughout our paper, some contributions could have been classified otherwise, but any choice can be questioned and ultimately a decision must be made.

  3. He (2015) also suggested an alternative return function taking the form \(\widetilde{r }=\widetilde{r }_{0}I^{\widetilde{r } _{1}}\) and show that their overall findings hold.

References

  • Aravendan, M., & Panneerselvam, R. (2014). Literature review on network design problems in closed loop and reverse supply chains. Intelligent Information Management, 2014.

  • Atasu, A., Guide, V. D. R., & Van Wassenhove, L. N. (2008). Product reuse economics in closed-loop supply chain research. Production and Operations Management, 17(5), 483–497.

    Article  Google Scholar 

  • Aust, G., & Buscher, U. (2014). Cooperative advertising models in supply chain management: A review. European Journal of Operational Research, 234(1), 1–14.

    Article  Google Scholar 

  • Cachon, G. P. (2003). Supply chain coordination with contracts. Handbooks in operations research and management science, 11, 227-339.

  • Chen, D., Ignatius, J., Sun, D., Zhan, S., Zhou, C., Marra, M., & Demirbag, M. (2018). Reverse logistics pricing strategy for a green supply chain: A view of customers’ environmental awareness. International Journal of Production Economics.

  • Chen, J. (2011). The impact of sharing customer returns information in a supply chain with and without a buyback policy. European Journal of Operational Research, 213(3), 478–488.

    Article  Google Scholar 

  • Choi, T. M., Li, Y., & Xu, L. (2013). Channel leadership, performance and coordination in closed loop supply chains. International Journal of Production Economics, 146(1), 371–380.

    Article  Google Scholar 

  • Chuang, C. H., Wang, C. X., & Zhao, Y. (2014). Closed-loop supply chain models for a high-tech product under alternative reverse channel and collection cost structures. International Journal of Production Economics, 156, 108–123.

    Article  Google Scholar 

  • Colicev, A., De Giovanni, P., & Vinzi, V. E. (2016). An empirical investigation of the antecedents of partnering capability. International Journal of Production Economics, 178, 144–153.

    Article  Google Scholar 

  • De Giovanni, P. (2014). Environmental collaboration in a closed-loop supply chain with a reverse revenue sharing contract. Annals of Operations Research, 220(1), 135–157.

    Article  Google Scholar 

  • De Giovanni, P. (2016). State-and control-dependent incentivizes in a closed-loop supply chain with dynamic returns. Dynamic Games and Applications, 6(1), 20–54.

    Article  Google Scholar 

  • De Giovanni, P. (2017). Closed-loop supply chain coordination through incentivizes with asymmetric information. Annals of Operations Research, 253(1), 133–167.

    Article  Google Scholar 

  • De Giovanni, P. (2018). A joint maximization incentive in closed-loop supply chains with competing retailers: The case of spent-battery recycling. European Journal of Operational Research, 268(1), 128–147.

    Article  Google Scholar 

  • De Giovanni, P., & Ramani, V. (2017). Product cannibalization and the effect of a service strategy. Journal of the Operational Research Society, 69(3), 340–357.

    Article  Google Scholar 

  • De Giovanni, P., Reddy, P. V., & Zaccour, G. (2016). Incentive strategies for an optimal recovery program in a closed-loop supply chain. European Journal of Operational Research, 249(2), 605–617.

    Article  Google Scholar 

  • De Giovanni, P., & Zaccour, G. (2013). Cost-revenue sharing in a closed-loop supply chain. In Advances in dynamic games (pp. 395–421). Birkhäuser, Boston, MA.

  • De Giovanni, P., & Zaccour, G. (2014). A two-period game of a closed-loop supply chain. European Journal of Operational Research, 232(1), 22–40.

    Article  Google Scholar 

  • De Giovanni, P., & Zaccour, G. (2019a). Optimal quality improvements and pricing strategies with active and passive product returns. OMEGA, the International Journal of Management Science, 88, 248–262.

  • De Giovanni, P., & Zaccour, G. (2019b). A selective survey of game-theoretic models of closed-loop supply chains. 4OR, 17(1), 1–44.

  • Dekker, R., Fleischmann, M., & Van Wassenhove, L. N. (Eds.). (2004). Reverse logistics: Quantitative models for closed-loop supply chains. Berlin: Springer.

    Google Scholar 

  • Ferrer, G., & Whybark, C. (2001). Material planning for a remanufacturing facility. Production and Operations Management, 10(2), 112–124.

    Article  Google Scholar 

  • Fleischmann, M., Beullens, P., Bloemhof-Ruwaard, J. M., & Van Wassenhove, L. N. (2001). The impact of product recovery on logistic network design. Production and Operations Management, 10(2), 156–173.

    Article  Google Scholar 

  • Fleischmann, M., Bloemhof-Ruwaard, J., van der Dekker, R., Laan, E., & Van Wassenhove, L. N. (1997). Quantitative models for reverse logistics: A review. European Journal of Operational Research., 103, 1–17.

    Article  Google Scholar 

  • Fleischmann, M., van Nunen, J., & Grave, B. (2002). Integrating closed-loop supply chains and spare parts in IBM. ERIM Report Series Research in Management, ERS-2002-107-LIS.

  • Gan, S. S., Pujawan, I. N., & Widodo, B. (2017). Pricing decision for new and remanufactured product in a closed-loop supply chain with separate sales-channel. International Journal of Production Economics, 190, 120–132.

    Article  Google Scholar 

  • Gao, J., Han, H., Hou, L., & Wang, H. (2016). Pricing and effort decisions in a closed-loop supply chain under different channel power structures. Journal of Cleaner Production, 112, 2043–2057.

    Article  Google Scholar 

  • Genc, T. S., & De Giovanni, P. (2017). Trade-in and save: A two-period closed-loop supply chain game with price and technology dependent returns. International Journal of Production Economics, 183, 514–527.

    Article  Google Scholar 

  • Genc, T. S., & De Giovanni, P. (2018a). Closed-loop supply chain games with innovation-led lean programs and sustainability. International Journal of Production Economics.

  • Genc, T. S., & De Giovanni, P. (2018b). Optimal return and rebate mechanism in a closed-loop supply chain game. European Journal of Operational Research, 269(2), 661–681.

  • Giri, B. C., Mondal, C., & Maiti, T. (2018). Analysing a closed-loop supply chain with selling price, warranty period and green sensitive consumer demand under revenue sharing contract. Journal of Cleaner Production, 190, 822–837.

    Article  Google Scholar 

  • Govindan, K., & Popiuc, M. N. (2014). Reverse supply chain coordination by revenue sharing contract: A case for the personal computers industry. European Journal of Operational Research, 233(2), 326–336.

    Article  Google Scholar 

  • Govindan, K., Soleimani, H., & Kannan, D. (2015). Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future. European Journal of Operational Research, 240(3), 603–626.

    Article  Google Scholar 

  • Guide, V. D. R., & Van Wassenhove, L. N. (2009). The evolution of closed-loop supply chain research. Operations Research, 57(1), 10–18.

    Article  Google Scholar 

  • Guo, S., Shen, B., Choi, T. M., & Jung, S. (2017). A review on supply chain contracts in reverse logistics: Supply chain structures and channel leaderships. Journal of Cleaner Production, 144, 387–402.

    Article  Google Scholar 

  • Han, X., Wu, H., Yang, Q., & Shang, J. (2017). Collection channel and production decisions in a closed-loop supply chain with remanufacturing cost disruption. International Journal of Production Research, 55(4), 1147–1167.

    Article  Google Scholar 

  • He, Y. (2015). Acquisition pricing and remanufacturing decisions in a closed-loop supply chain. International Journal of Production Economics, 163, 48–60.

    Article  Google Scholar 

  • Heydari, J., Govindan, K., & Jafari, A. (2017). Reverse and closed loop supply chain coordination by considering government role. Transportation Research Part D: Transport and Environment, 52, 379–398.

    Article  Google Scholar 

  • Heydari, J., Govindan, K., & Sadeghi, R. (2018). Reverse supply chain coordination under stochastic remanufacturing capacity. International Journal of Production Economics, 202, 1–11.

    Article  Google Scholar 

  • Hong, X., Govindan, K., Xu, L., & Du, P. (2017). Quantity and collection decisions in a closed-loop supply chain with technology licensing. European Journal of Operational Research, 256(3), 820–829.

    Article  Google Scholar 

  • Hong, X., Xu, L., Du, P., & Wang, W. (2015). Joint advertising, pricing and collection decisions in a closed-loop supply chain. International Journal of Production Economics, 167, 12–22.

    Article  Google Scholar 

  • Hu, S., Dai, Y., Ma, Z. J., & Ye, Y. S. (2016). Designing contracts for a reverse supply chain with strategic recycling behavior of consumers. International Journal of Production Economics, 180, 16–24.

    Article  Google Scholar 

  • Huang, M., Song, M., Lee, L. H., & Ching, W. K. (2013). Analysis for strategy of closed-loop supply chain with dual recycling channel. International Journal of Production Economics, 144(2), 510–520.

    Article  Google Scholar 

  • Huang, Y., & Wang, Z. (2017). Information sharing in a closed-loop supply chain with technology licensing. International Journal of Production Economics, 191, 113–127.

    Article  Google Scholar 

  • Huang, Y., & Wang, Z. (2017). Closed-loop supply chain models with product take-back and hybrid remanufacturing under technology licensing. Journal of Cleaner Production, 142, 3917–3927.

    Article  Google Scholar 

  • Huang, Y., & Wang, Z. (2017). Values of information sharing: A comparison of supplier-remanufacturing and manufacturer-remanufacturing scenarios. Transportation Research Part E: Logistics and Transportation Review, 106, 20–44.

    Article  Google Scholar 

  • Hong, I. H., & Yeh, J. S. (2012). Modeling closed-loop supply chains in the electronics industry: A retailer collection application. Transportation Research Part E: Logistics and Transportation Review, 48(4), 817–829.

    Article  Google Scholar 

  • Jena, S. K., & Sarmah, S. P. (2014). Price competition and co-operation in a duopoly closed-loop supply chain. International Journal of Production Economics, 156, 346–360.

    Article  Google Scholar 

  • Jørgensen, S., Sigué, S. P., & Zaccour, G. (2001). Stackelberg leadership in a marketing channel. International Game Theory Review, 3, 1–14.

    Article  Google Scholar 

  • Jørgensen, S., & Zaccour, G. (2014). A survey of game-theoretic models of cooperative advertising. European Journal of Operational Research, 237(1), 1–14.

    Article  Google Scholar 

  • Kaya, O. (2010). Incentive and production decisions for remanufacturing operations. European Journal of Operational Research, 201(2), 442–453.

    Article  Google Scholar 

  • Krikke, H., Le Blanc, I., & van de Velde, S. (2004). Product modularity and the design of closed-loop supply chains. California Management Review, 46(2), 23–39.

    Article  Google Scholar 

  • Lambert, D. M. (2017). The supply chain management and logistics controversy. In Ann, M. B., Kenneth, J. B., & David A. H. (eds.), Handbook of logistics and supply-chain management (Handbooks in Transport, Volume 2) (pp. 99–126).

  • Lambert, D. M., & Cooper, M. C. (2000). Issues in supply chain management. Industrial Marketing Management, 29(1), 65–83.

    Article  Google Scholar 

  • Lawton, C. (2008). The war on returns. Wall Street Journal, 1, 18.

    Google Scholar 

  • Li, X., Li, Y., & Govindan, K. (2014). An incentive model for closed-loop supply chain under the EPR law. Journal of the Operational Research Society, 65(1), 88–96.

    Article  Google Scholar 

  • Liu, L., Wang, Z., Xu, L., Hong, X., & Govindan, K. (2017). Collection effort and reverse channel choices in a closed-loop supply chain. Journal of Cleaner Production, 144, 492–500.

    Article  Google Scholar 

  • Ma, P., Li, K. W., & Wang, Z. J. (2017). Pricing decisions in closed-loop supply chains with marketing effort and fairness concerns. International Journal of Production Research, 55(22), 6710–6731.

    Article  Google Scholar 

  • Ma, W. M., Zhao, Z., & Ke, H. (2013). Dual-channel closed-loop supply chain with government consumption-subsidy. European Journal of Operational Research, 226(2), 221–227.

    Article  Google Scholar 

  • Ma, Z. J., Hu, S., Dai, Y., & Ye, Y. S. (2018). Pay-as-you-throw versus recycling fund system in closed-loop supply chains with alliance recycling. International Transactions in Operational Research, 25(6), 1811–1829.

    Article  Google Scholar 

  • Maiti, T., & Giri, B. C. (2017). Two-way product recovery in a closed-loop supply chain with variable markup under price and quality dependent demand. International Journal of Production Economics, 183, 259–272.

    Article  Google Scholar 

  • Mentzer, J. T., DeWitt, W., Keebler, J. S., Min, S., Nix, N. W., Smith, C. D., & Zacharia, Z. G. (2001). Defining supply chain management. Journal of Business Logistics, 22(2), 1–25.

    Article  Google Scholar 

  • Miao, Z., Fu, K., Xia, Z., & Wang, Y. (2017). Models for closed-loop supply chain with trade-ins. Omega, 66, 308–326.

    Article  Google Scholar 

  • Mitra, S., & Webster, S. (2008). Competition in remanufacturing and the effects of government subsidies. International Journal of Production Economics, 111(2), 287–298.

    Article  Google Scholar 

  • Modak, N. M., Modak, N., Panda, S., & Sana, S. S. (2018). Analyzing structure of two-echelon closed-loop supply chain for pricing, quality and recycling management. Journal of Cleaner Production, 171, 512–528.

    Article  Google Scholar 

  • Nerlove, M., & Arrow, K. J. (1962). Optimal advertising policy under dynamic conditions. Economica, 29(114), 129–142.

    Article  Google Scholar 

  • Panda, S., Modak, N. M., & Cárdenas-Barrón, L. E. (2017). Coordinating a socially responsible closed-loop supply chain with product recycling. International Journal of Production Economics, 188, 11–21.

    Article  Google Scholar 

  • Pazoki, M., & Zaccour, G. (2018). Extended producer responsibility: Regulation design and responsibility sharing policies for a supply chain. Cahier du GERAD G-2018-78.

  • Pazoki, M., & Zaccour, G. (2019). A mechanism to promote product recovery and remanufacturing. European Journal of Operational Research, 274(2), 601–614.

    Article  Google Scholar 

  • Ramani, V., & De Giovanni, P. (2017). A two-period model of product cannibalization in an atypical closed-loop supply chain with endogenous returns: The case of DellReconnect. European Journal of Operational Research, 262(3), 1009–1027.

    Article  Google Scholar 

  • Saha, S., Sarmah, S. P., & Moon, I. (2016). Dual channel closed-loop supply chain coordination with a reward-driven remanufacturing policy. International Journal of Production Research, 54(5), 1503–1517.

    Article  Google Scholar 

  • Savaskan, R. C., Bhattacharya, S., & Van Wassenhove, L. N. (2004). Closed-loop supply chain models with product remanufacturing. Management Science, 50(2), 239–252.

    Article  Google Scholar 

  • Savaskan, R. C., & Van Wassenhove, L. N. (2006). Reverse channel design: The case of competing retailers. Management Science, 52(1), 1–14.

    Article  Google Scholar 

  • Sethi, S. P. (1983). Deterministic and stochastic optimization of a dynamic advertising model. Optimal Control Applications and Methods, 4, 179–184.

    Article  Google Scholar 

  • Shear, H., Speh, T., & Stock, J. (2002). Many happy (product) returns. Harvard Business Review, 80(7), 16–17.

    Google Scholar 

  • Sheu, J. B. (2011). Bargaining framework for competitive green supply chains under governmental financial intervention. Transportation Research Part E: Logistics and Transportation Review, 47(5), 573–592.

    Article  Google Scholar 

  • Sheu, J. B., & Chen, Y. J. (2012). Impact of government financial intervention on competition among green supply chains. International Journal of Production Economics, 138(1), 201–213.

    Article  Google Scholar 

  • Souza, G. C. (2013). Closed-loop supply chains: A critical review, and future research. Decision Sciences, 44(1), 7–38.

    Article  Google Scholar 

  • Sundari, P. T., & Vijayalakshmi, C. (2016). A comprehensive review of closed loop supply chain. Global Journal of Pure and Applied Mathematics, 12(4), 2785–2792.

  • Tabolt, S., Lefebvre, E., & Lefebvre, L. A. (2007). Closed-loop supply chain activities and derived benefits in manufacturing SMEs. Journal of Manufacturing Technology Management, 18(6), 627–658.

    Article  Google Scholar 

  • Taleizadeh, A. A., & Moshtagh, M. S. (2018). A consignment stock scheme for closed loop supply chain with imperfect manufacturing processes, lost sales, and quality dependent return: Multi Levels Structure. International Journal of Production Economics.

  • Taleizadeh, A. A., Moshtagh, M. S., & Moon, I. (2018). Pricing, product quality, and collection optimization in a decentralized closed-loop supply chain with different channel structures: Game theoretical approach. Journal of Cleaner Production, 189, 406–431.

    Article  Google Scholar 

  • Taleizadeh, A. A., & Sadeghi, R. (2018). Pricing strategies in the competitive reverse supply chains with traditional and E-channels: A game theoretic approach. International Journal of Production Economics.

  • Wang, N., He, Q., & Jiang, B. (2018a). Hybrid closed-loop supply chains with competition in recycling and product markets. International Journal of Production Economics.

  • Wang, W., Ding, J., & Sun, H. (2018b). Reward-penalty mechanism for a two-period closed-loop supply chain. Journal of Cleaner Production, 203, 898–917.

  • Wang, W., Fan, L., Ma, P., Zhang, P., & Lu, Z. (2017). Reward-penalty mechanism in a closed-loop supply chain with sequential manufacturers price competition. Journal of Cleaner Production, 168, 118–130.

  • Wang, W., Zhang, Y., Zhang, K., Bai, T., & Shang, J. (2015). Reward-penalty mechanism for closed-loop supply chains under responsibility-sharing and different power structures. International Journal of Production Economics, 170, 178–190.

    Article  Google Scholar 

  • Wei, J., Govindan, K., Li, Y., & Zhao, J. (2015). Pricing and collecting decisions in a closed-loop supply chain with symmetric and asymmetric information. Computers& Operations Research, 54, 257–265.

    Article  Google Scholar 

  • Wei, J., Wang, Y., & Zhao, J. (2018). Interaction between greening and remanufacturing strategies in a manufacturer-retailer supply chain. Journal of Cleaner Production, 189, 585–601.

    Article  Google Scholar 

  • Wu, C. H., & Kao, Y. J. (2018). Cooperation regarding technology development in a closed-loop supply chain. European Journal of Operational Research, 267(2), 523–539.

    Article  Google Scholar 

  • Wu, X., & Zhou, Y. (2017). The optimal reverse channel choice under supply chain competition. European Journal of Operational Research, 259(1), 63–66.

    Article  Google Scholar 

  • Xie, J., Liang, L., Liu, L., & Ieromonachou, P. (2017). Coordination contracts of dual-channel with cooperation advertising in closed-loop supply chains. International Journal of Production Economics, 183, 528–538.

    Article  Google Scholar 

  • Xie, J., Zhang, W., Liang, L., Xia, Y., Yin, J., & Yang, G. (2018). The revenue and cost sharing contract of pricing and servicing policies in a dual-channel closed-loop supply chain. Journal of Cleaner Production, 191, 361–383.

    Article  Google Scholar 

  • Xiong, Y., Zhou, Y., Li, G., Chan, H. K., & Xiong, Z. (2013). Don’t forget your supplier when remanufacturing. European Journal of Operational Research, 230(1), 15–25.

  • Xu, L., Li, Y., Govindan, K., & Xu, X. (2015). Consumer returns policies with endogenous deadline and supply chain coordination. European Journal of Operational Research, 242(1), 88–99.

    Article  Google Scholar 

  • Yang, H., Chen, J., Chen, X., & Chen, B. (2017). The impact of customer returns in a supply chain with a common retailer. European Journal of Operational Research, 256(1), 139–150.

    Article  Google Scholar 

  • Yoo, S. H., & Kim, B. C. (2016). Joint pricing of new and refurbished items: A comparison of closed-loop supply chain models. International Journal of Production Economics, 182, 132–143.

    Article  Google Scholar 

  • Yoo, S. H., Kim, D., & Park, M. S. (2015). Pricing and return policy under various supply contracts in a closed-loop supply chain. International Journal of Production Research, 53(1), 106–126.

    Article  Google Scholar 

  • Zhao, J., Wei, J., & Li, M. (2017). Collecting channel choice and optimal decisions on pricing and collecting in a remanufacturing supply chain. Journal of Cleaner Production, 167, 530–544.

    Article  Google Scholar 

  • Zhao, J., Wei, J., & Sun, X. (2017). Coordination of fuzzy closed-loop supply chain with price dependent demand under symmetric and asymmetric information conditions. Annals of Operations Research, 257(1–2), 469–489.

    Article  Google Scholar 

  • Zhao, S., & Zhu, Q. (2017). Remanufacturing supply chain coordination under the stochastic remanufacturability rate and the random demand. Annals of Operations Research, 257(1–2), 661–695.

    Article  Google Scholar 

  • Zhou, W., Zheng, Y., & Huang, W. (2017). Competitive advantage of qualified WEEE recyclers through EPR legislation. European Journal of Operational Research, 257(2), 641–655.

    Article  Google Scholar 

  • Zu-Jun, M., Zhang, N., Dai, Y., & Hu, S. (2016). Managing channel profits of different cooperative models in closed-loop supply chains. Omega, 59, 251–262.

    Article  Google Scholar 

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This is an updated version of the paper that appeared in 4OR, 17(1), 1-44, 2019. Research supported by NSERC Canada, Grant RGPIN-2016-04975.

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De Giovanni, P., Zaccour, G. A selective survey of game-theoretic models of closed-loop supply chains. Ann Oper Res 314, 77–116 (2022). https://doi.org/10.1007/s10479-021-04483-5

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