基于共生理论的供应链上下游企业库存水平策略研究

摘要

This paper proposes a mathematical model in which the relative growth rate of downstream firms ’ inventory level satisfies the Holling II functional response function based on symbiotic theory , which expands the linear case.The results indicate that when,the upstream and downstream firms’ inventory level is stable, the original stability of the equilibrium is broken ,and a series of close-related new equilibria are generated .The model appears many dynamical equilibria .This phenomenon accords with the lever principle in economics , which makes the model more reasonable .These related conclusions are helpful for upstream and downstream firms to make more reasonable decisions in their managements .%运用共生理论，在下游企业库存水平相对增长率为线性反应函数的基础上，提出了Holling II非线性功能性反应函数关系的数学模型，得出供应链上下游企业库存水平稳定的充分条件，当这一稳定的平衡状态被破坏时，其外围出现一系列关联紧密的稳定平衡态，供应链中的上游企业和下游企业仍达到一种动态的平衡。这种现象符合经济学中的杠杠原理，使得此模型更加合理，相关结论有助于上游企业和下游企业作出更加合理的库存决策。