基于供应能力的VMI供应链复杂动力学行为研究  

Exploring the Complex Dynamic Behavior of a VMI Supply Chain Based on Different Supply Capacity

作　　者：张骥骧[1,2] 宗宁 ZHANG Ji-xiang;ZONG Ning(College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China;Graduate School of China Academy of Social Seience,Beijing 102488,China)

机构地区：[1]南京航空航天大学济与管理学院,江苏南京211106 [2]中国社会科学院数量经济与技术经济研究所,北京102488

出　　处：《系统工程》2018年第4期135-143,共9页Systems Engineering

基　　金：国家自然科学基金资助项目(71101071);中国博士后科学基金资助项目(2013M530089);南航大基本科研业务费科研项目(NR2015023)

摘　　要：本文建立了供应充足与供应短缺两种供应模式下的VMI(供应商管理库存)生产库存控制系统的离散微分方程模型,基于Z-变换理论推导两种模式的传递函数,探究使得系统在两种模式下保持稳定与不稳定的参数取值范围。仿真实验验证了所得结果的合理性;通过设计不同的情境,计算各种参数组合下的最大李雅普诺夫指数,探究和分析了不同需求模式下系统的复杂动力学行为。结果表明:两种模式的VMI供应链系统具有相对复杂的动力学行为,决策参数的选择对系统的行为有决定性的影响,合理的选择决策参数可以使系统在不同需求模式下保持稳定。In this paper, two basic models of sufficient and insufficient supply systems in VMI production-inventory control system are developed using difference equations. Based on transform functions deduced by Z-transform theory of two models, the scope of decision parameters which make the system stable or instable is investigated. The simulation experimental results show the reasonability of the conclusion. By calculating the maximum Lyapunov exponent, the complex dynamic behavior is analyzed under different scenarios and different demand pattern. The results show that VMI supply chain with different models has more complex dynamic behavior and the choice of decision parameters has a decisive effect on systems behavior. Systems can keep stable under different demand patterns with a reasonable parameter choice.

关 键 词：VMI供应链 复杂动力学行为 Jury’s内核法 李雅普诺夫指数 

分 类 号：F224[经济管理—国民经济]