The carbon tax game strategy for multi-level supply chain production inventory system considering the tolerance of carbon emissions
JI Shoufeng1, LAN Haiyan1,2, SUN Qi1
1. School of Business Administration, Northeastern University, Shenyang 110169, China; 2. School of Management, Liaoning University of Technology, Jinzhou 121001, China
Abstract：In order to solve the problems of carbon limitation and carbon tax mechanism on the multi-level supply chain between different departments, the model in the paper, which consists of one manufacturer, multi-distributor and multi-retailer, was built based on Stackelberg game theory. Because of the tolerance of carbon over-emissions from the enterprises, the paper studied the differential policies which contain carbon tax and the production-inventory systems. Comparing different environment about differential carbon tax and harmonized carbon tax, the paper presents and analyzes four game strategies about cost and carbon emission levels, and the non-cooperative game model under the guidance of the manufacturer and the retailer, and the cooperative game model between departments of the supply chain. The effectiveness of the model and algorithm were testified through the numerical example.
戢守峰, 蓝海燕, 孙琦. 考虑碳排放容忍度的多级供应链生产-库存系统碳税博弈策略[J]. 系统工程理论与实践, 2017, 37(8): 2071-2082.
JI Shoufeng, LAN Haiyan, SUN Qi. The carbon tax game strategy for multi-level supply chain production inventory system considering the tolerance of carbon emissions. Systems Engineering - Theory & Practice, 2017, 37(8): 2071-2082.
[1] Penkuhn T, Spengler T, Piichert H, et al. Environmental integrated production planning for the ammonia synthesis[J]. European Journal of Operational Research, 1997, 97(2):327-336. [2] Letmathe P, Balakrishnan N. Environmental considerations on the optimal product mix[J]. European Journal of Operational Research, 2005, 167(1):398-412. [3] Nagurney A, Liu Z G, Woolley T. Optimal endogenous carbon taxes for electric power supply chains with power plants[J]. Mathematical and Computer Modelling, 2006(44):899-916. [4] Zhao R, Neighbour G, Han J J, et al. Using game theory to describe strategy selection for environmental risk and carbon emissions reduction in the green supply chain[J]. Journal of Loss Prevention in the Process Industries, 2012(25):927-936. [5] Song J P, Leng M M. Analysis of the single-period problem under carbon emission policies[J]. International Series in Operations Research & Management Science, 2012, 176(2):297-312. [6] Rosic H, Jammernegg W. The economic and environmental performance of dual sourcing:A newsvendor approach[J]. International Journal of Production Economics, 2013, 143(1):109-119. [7] 石敏俊,袁永娜,周晟吕,等.基于市场机制的碳减排政策:碳税、碳交易还是两者兼之?[J].管理科学学报, 2013, 16(9):9-19.Shi M J, Yuan Y N, Zhou S L, et al. Carbon tax, cap-and-trade or mixed policy:Which is better for carbon mitigation?[J]. Journal of Management Sciences in China, 2013, 16(9):9-19. [8] 刘明磊,范英,朱磊,等.减排政策作用下的新能源内生技术变化建模[J]. 系统工程学报, 2014, 29(6):763-770.Liu M L, Fan Y, Zhu L, et al. Modeling for new energy endogenous technological change under action of emission reduction policies[J]. Journal of Systems Engineering, 2014, 29(6):763-770. [9] Clark A J, Scarf H. Optimal policies for a multi-echelon inventory problem[J]. Management Science, 1960, 6(4):475-490. [10] Hua G, Cheng T C E, Wang S. Managing carbon footprints in inventory management[J]. International Journal of Production Economics, 2011(132):178-185. [11] Bouchery Y, Ghaffari A. Including sustainability criteria into inventory models[J]. European Journal of Operational Research, 2012, 222(2):229-240. [12] Du S F, Zhu L L, Liang L, et al. Emission-dependent supply chain and environment-policy-making in the 'cap-and-trade' system[J]. Energy Policy, 2013(57):61-67. [13] Absi N, Dauzére-Pérés S, Kedad-Sidhoum S, et al. Lot sizing with carbon emission constraints[J]. European Journal of Operational Research, 2013(227):55-61. [14] Xu X Y, Zhang W, He P, et al. Production and pricing problems in make-to-order supply chain with cap-and-trade regulation[J]. Omega, 2017, 66(1):248-257. [15] He P, Zhang W, Xu X Y, et al. Joint production and pricing decisions for multiple products with cap-and-trade and carbon tax regulations[J]. Journal of Cleaner Production, 2016, 112:4093-4106. [16] Choudhary A, Sarkar S, Settur S, et al. A carbon market sensitive optimization model for integrated forward-reverse logistics[J]. International Journal of Production Economics, 2015, 164(6):433-444. [17] 熊中楷,张盼,郭年.供应链中碳税和消费者环保意识对碳排放影响[J]. 系统工程理论与实践, 2014, 34(9):2245-2252.Xiong Z K, Zhang P, Guo N. Impact of carbon tax and consumers' environmental awareness on carbon emissions in supply chains[J]. Systems Engineering——Theory & Practice, 2014, 34(9):2245-2252. [18] Sarkar T, Ghosh S K, Chaudhuri K S. An optimal inventory replenishment policy for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles[J]. Applied Mathematics and Computation, 2012(218):9147-9155. [19] 王金南,蔡博峰,严刚,等.排放强度承诺下的CO2排放总量控制研究[J]. 中国环境科学, 2010, 30(11):1568-1572.Wang J N, Cai B F, Yan G, et al. Study on carbon dioxide total emission control in the context of emission intensity commitment[J]. China Environmental Science, 2010, 30(11):1568-1572. [20] Zhang B, Xu L. Multi-item production planning with carbon cap and trade mechanism[J]. International Journal of Production Economics, 2013, 144(1):118-127.
2017, Vol. 37 
