Game theoretic models for a closed-loop supply chain with stochastic demand and backup supplier under dual channel recycling

  • Bibhas Chandra Giri Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India
  • Sushil Dey Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India
Keywords: Supply chain management, Closed-loop supply chain, Recycling, Markup-strategy

Abstract

In this paper, a dual-channel closed-loop supply chain is consi-dered for waste recycling. The manufacturer produces the finished product using recycled and recyclable waste materials as well as fresh raw materials. The recyclable wastes collected by the collector are supplied to the manufacturer directly or indirectly via a third party (recycler). Two different game models are considered for two different cases of recycling: recycling by the manufacturer and recycling by the recycler. If the collector fails to supply the required amount of waste materials, the backup supplier meets up the shortfall by supplying fresh raw materials. The customer demand is assumed to be stochastic. Optimal results for the two game models are obtained through numerical examples. It is seen that ex-ante pricing commitment i.e, fixed markup strategy is beneficial for the whole supply chain as well as the supply chain entities, compared to the decentralized policy. From the numerical study, it is also observed that when the recyclability degree of wastes increases, the expected total profit increases for the whole supply chain. A higher price sensitivity of customer demand leads to lower profit for the chain members.

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References

Ageron, B., Gunasekaran, A., & Spalnzani, A. (2012). Sustainable Supply Management: An empirical study. International Journal of Production Economics, 140, 168-182.

Ahi, P., & Searcy, C. (2013). A competitive literature analysis of definitions for green and sustainable supply chain management. Journal of Cleaner Production, 52, 329-341.

Batarfi, R., Jaber, M.Y., & Zanoni, S. (2016). Dual-channel supply chain: A strategy to maximize profit. Applied Mathematical Modelling, 40, 9454-9473.

Bing, X., Bloemhof. R. J., Chaabane, A., & Vorst, J.V.D. (2015). Global reverse supply chain redesign for household plastic waste under the emission trading scheme. Journal of Cleaner Production, 103, 28-39.

Cao, E., Ma, Y., Wan, C., & Lai, M. (2013). Contracting with asymmetric cost information in a dual channel supply chain. Operations Research Letters, 41, 410-414.

Chen, P.C., Chiu, M.C., & Ma, H. W. (2016). Measuring the reduction limit of repeated recycling- a case study of the paper flow system. Journal of Cleaner production, 132, 98-107.

Chen, J., Liang, L., Yao, D. Q., & Sun, S. (2017). Price and quality decisions in a dual channel supply chains. European Journal of Operations Research, 259, 935-948.

Eskandarpour, M., Dejax, P., Miemczyk, J., & Peton, O. (2015). Sustainable supply chain network design: An optimization oriented review. Omega, 54, 11-32.

Giri, B.C., Roy, B., & Maiti, T. (2017). Coordinating a three-echelon supply chain under price and quality dependent demand with sub-supply chain and RFM strategies. Applied Mathematical Modelling, 52, 747-769.

Giri, B.C., & Dey, S.K. (2019). Game theoretic analysis of a closed-loop supply chain with backup supplier under dual channel recycling. Computers and Industrial Engineering, 129, 179-191.

Govindan, K., Azevedo, S.G., Carvalho, H., & Cruz Machado, V. (2014). Impact of Supply chain Management practices on sustainability. Journal of Cleaner production, 85, 212-225.

Jafari, H., Hezazi, S. R., & Morteza, R. B. (2017). Sustainable development by waste recycling under a three-echelon supply chain: A game-theoretic approach. Journal of Cleaner Production, 142, 2252-2261

Kreiger, M.A., Mulder, M.L., Glover, A.G., & Pearce, J.M. (2014). Life cycle analysis of distributed recycling of post-consumer high density polyethelene for 3-D printing filament. Journal of Cleaner Production, 70, 90-96.

Liu, B., Zhang, R., & Xiao, M. (2010). Joint decision on production and pricing for online dual channel supply chain system. Applied Mathematical Modelling, 34(12), 4208-4218.

Liu, Y., Fry., J., & Amitabh, S. (2006). Vertically restrictive Pricing in Supply Chains with Price-dependent Demand. Naval Research Logistics, 53(6), 485-501.

Li, B., Zhu, M., Jiang, Y., & Li, Z. (2016). Pricing policies pf a competitive Dual-channel green supply chain. Journal of Cleaner Production, 112(3) 2029-204.

Li, G., Li, Lin., Sethi, S.P., & Guan, X. (2017). Return strategy and pricing in a dual channel supply chain. International Journal Production of Economics. https://doi.org/10.1016/i.ijpe.2017.06.031.

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.

Mukhopadhyay, S. K., Yao, D. Q., & Yue, X. (2008). Information sharing of value-adding retailer in a mixed channel hi-tech supply chain. Journal of Business research, 61, 950-958.

Navinchandra, D. (1990). Steps toward Environmentally Compatible product and process design: a case for Green Engineering. The Robotics Institute School of Computer Science, Carnegie Mellon University Pittsburgh, Pennsylvania, 1-7.

Petruzzi, N., & Dada, M. (1999). Pricing and the newsvendor problem: A review with extensions. Operations Research, 47, 183-194.

Ragert, K., Delva, L., & Green, K. V. (2017). Mechanical and chemical recycling of solid plastic waste. Waste Management, 69, 24-58.

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

Sultan, A.A.M., Lou, E., & Mativenga, P.T. (2017). What should be recycled: An integrated model for product recycling desireability. Journal of cleaner production, 154, 51-60.

Wan, B., Chen, W., Lu, T., Liu, F., Jiang, Z., & Mao, M. (2017). Review of solid state recycling of aluminium chips. Resource Conservation and Recycling, 125, 37-47.

Wang, L., Song, H., & Wang, Y. (2017). Pricing and service decisions of complementary products in a dual channel supply chain. Computers and Industrial Engineering, 105, 223-233.

Wei, J., Wang, Y., Zhao, J., & Gonzalez, E. D.R. S. (2018). Analyzing the performance of a two-period remanufacturing supply chain with dual collecting channels. Computers and Industrial Engineering. https://doi.org/ 10.1016/j.cie.2018.12.063

Yao, D. Q., & Liu, J.J. (2005). Competitive pricing of mixed retail and e-tail distribution channels. Omega, 33, 235-247.

Yu, H., & Solvang, W.D. (2017). A carbon-constrained stochastic optimization model with augmented multi-criteria scenario-based risk-averse solution for reverse logistics network design under uncertainty. Journal of Cleaner Production, 164, 248-1267.

Zhang, R., Liu, B., & Wang, W. (2012). Pricing decisions in a dual channel system with different power structures. Economic Modelling, 29(2), 523-533.

Zhang, P., He, Y., & Shi, C. (2017). Retailer’schanel structure choice: Online channel, or dual channels ?. International Journal of Production Economics, Elsevier, 191, 37-50.

Zhang, P., He, Y., & Zhao, X. (2019). “Preorder-online, pickup-in-store” strategy for a dual-channel retailer. Transportation Research Part E: Logistics and Transportation Review, 122, 27-47.

Zhao, J., Hou, X., Guo, Y., & Wei, J. (2017). Pricing policies for complementary products in a dual-channel supply chain. Applied Mathematical Modelling, 49, 437-451.

Published
2019-06-27
How to Cite
Giri, B., & Dey, S. (2019). Game theoretic models for a closed-loop supply chain with stochastic demand and backup supplier under dual channel recycling. Decision Making: Applications in Management and Engineering, 3(1-2). Retrieved from http://www.dmame.org/index.php/dmame/article/view/47