摘要
To discuss the relationship between stability and bullwhip effect in the supply chain system,a basic model in a production-inventory control system is developed using difference equations.Z-transform techniques are applied to investigate the production ordering and inventory dynamics.For the two operational regimes of sufficient inventory coverage and insufficient inventory coverage,the scope of decision parameters which make the system stable or instable is investigated.Under two operational regimes and the actual system,production release rates,stability/instability and bullwhip effect in the stable region and instable region are examined based on different demand functions,and then the numerical simulation results are given.The results show that reasonable choices of fractional adjustment of inventory and supply line can make the system stable and decrease bullwhip effect.It is summarized that the piecewise linearization based on the stability analysis approach is a valid approximation to the analysis of production-inventory ordering systems with nonlinearities.Some interesting results are obtained and they have important implications for improving inventory and order decisions in supply chain systems.
为了讨论供应链系统稳定性与牛鞭效应之间的关系,建立了生产库存控制系统的离散微分方程模型.基于Z-变换理论研究了生产库存系统的动态性.在库存充足和库存不充足2种运作机制下,研究了使生产库存系统稳定和不稳定的参数范围; 在2种运作机制以及实际系统下,分别在稳定区域和不稳定区域中,基于不同的需求模式研究了生产交付速率波动性、系统稳定与不稳定性以及牛鞭效应,并给出了相应的数值仿真.结果显示,合理地选择库存和订单决策参数,不仅能够保证系统稳定,而且可以减小系统的牛鞭效应.基于稳定性分析的分段线性化是研究具有非线性特性生产库存订购系统的一种有效方法.该研究为改善供应链系统的库存和订单决策提供了有益的建议.
