在考虑产品寿命次数的基础上,研究了由多个制造商和多个消费市场组成的闭环供应链网络的多期动态均衡问题.采用变分不等式和互补理论获得了制造商和消费市场的最优性条件,进而建立了整个闭环供应链网络的均衡模型.采用定步长的修正投影收缩算法对模型进行求解,通过算例将不同寿命次数结合有关参数对网络均衡状态的影响进行了对比分析,给出了政府有关部门和供应链网络中制造商作决策时需关注的关键问题,本文所得结论为开展相关领域的研究提供一定的借鉴.
An equilibrium problem of multi-period dynamic closed-loop supply chain network, which comprises manufacturers and demand markets, based on the product's lifetime is studied. Using variational inequality and complementary theory, the optimal conditions for manufacturers and demand markets are formulated, and thus the integrated closed-loop supply chain network equilibrium model is established. The equilibrium is ob- tained by employing modified project contraction algorithm with fixed step. Using numerical examples, the impacts of different product lifetime and related parameters on the supply chain network equilibrium results are compared and analyzed, and the solution to a critical problem that is encountered while making decisions in the relevant departments of government and manufacturers in a supply chain network is provided. The re- suits of this study can help promote research in other related fields.