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以一个制造商和一个供应商所构成的两级供应链为研究对象,运用微分博弈理论与方法研究了考虑消费者低碳偏好和参考低碳水平效应的供应链联合减排动态优化与协调问题。先后考察并比较了分散决策和集中决策下制造商和供应商的最优减排策略、利润现值和供应链系统总利润现值。结果表明,与斯坦伯格主从博弈相比,合作博弈的均衡结果具有Pareto优势。在此基础上,提出了双边补助契约,并指出在一定条件下,该契约可以实现制造商和供应商的Pareto改善。最后通过数值仿真,进一步验证本文的主要结论,并对重要参数进行了敏感性分析。研究发现:在双边补助契约可以协调供应链的情况下,随着消费者低碳偏好程度的增加,制造商和供应商的最优减排努力水平以及利润现值会同时增加;初始参考低碳水平的差异会影响分散决策和双边补助契约下制造商和供应商的利润现值随着参考低碳水平参数的变化趋势;尽管初始参考低碳水平的差异会影响参考低碳水平随时间的变化趋势,但针对同一渠道结构,参考低碳水平最终会趋于同一稳定值。
Taking a two-level supply chain composed of a manufacturer and a supplier as the research object, this paper studies the dynamic optimization and coordination of supply chain mitigation considering the low-carbon preference of consumers and the reference of low-carbon effect by using the theory and method of differential game . The optimal emission reduction strategies, the present value of the profit and the present value of the total profit of the supply chain system have been examined and compared successively under decentralized and centralized decision-making. The results show that, compared with Steinberg ’s master - slave game, the equilibrium result of cooperative game has Pareto advantage. On this basis, a bilateral subsidy contract is proposed, and under certain conditions, the contract can achieve Pareto improvement for manufacturers and suppliers. Finally, through numerical simulation, the main conclusions of this paper are further verified, and the sensitivity of important parameters is analyzed. The research found that with the bilateral subsidy contract can coordinate the supply chain, the optimal emission reduction efforts and the present value of the profit of manufacturers and suppliers will increase at the same time as the consumer preference for low carbon increases. The initial reference to low carbon Differences in level affect the present value of the profit of manufacturers and suppliers under decentralized decision-making and bilateral subsidies contracts with reference to trends in low carbon level parameters; although differences in initial reference low carbon levels affect the change in the reference low carbon level over time Trend, but for the same channel structure, the reference low carbon level will eventually tend to the same stable value.