摘要
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.
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.
出处
《鞍山师范学院学报》
2016年第6期12-18,共7页
Journal of Anshan Normal University
基金
重庆市研究生教学改革研究项目(yjg2014162)
重庆高校创新团队建设计划资助项目(CXTDX201601022)
