项目名称: 基于数值方法的非线性随机系统的动力学行为及在供应链系统中的应用
项目编号: No.11271146
项目类型: 面上项目
立项/批准年度: 2013
项目学科: 数理科学和化学
项目作者: 谢勇
作者单位: 华中科技大学
项目金额: 50万元
中文摘要: 将应用数值方法对随机系统的动力学行为进行深入系统研究,不同于传统的利用Lyapunov直接法、Lasalle方法与Razumikhin方法来研究系统的动力学行为,克服经典方法需要构造Lyapunov函数或Lyapunov泛函的困难。研究随机系统数值方法的收敛性和相关动力学行为,建立相应的判据;利用随机系统数值方法的动力学行为来推出相应原随机系统的动力学行为,建立随机系统数值方法的动力学行为和相应原随机系统的动力学行为等价的充要条件,从理论上严格证明系统动力学行为的仿真结果和相应原系统的动力学行为判据的等价性问题;将上面的理论应用于供用链物流管理,以自动库存与订货策略的周期查库供应链系统为对象,分析使供应链系统产生复杂动力学行为的原因,以某大型水电工程为背景构建供应链系统动力学行为研究的仿真实验平台。 本项目将深刻揭示随机系统动力学行为的机理,为随机系统的动力学行为及应用提供新的途径和方法。
中文关键词: 数值方法;非线性随机系统;动力学行为;供应链系统;
英文摘要: In the project the dynamical behavior of stochastic systems will be researched deeply by using numerical methods, which overcome the difficulties of the classical methods to construct Lyapunov functions or Lyapunov functionals and are also different from the classical methods which include Lyapunov direct method, Lasalle method and Razumikhin method. In the project the convergence and dynamical behavior of numerical methods of stochastic systems will be discussed and the corresponding criteria of dynamical behavior will be established. We will firstly use the dynamical behavior of numerical methods of stochastic systems to deduce the dynamical behavior of the corresponding stochastic systems. Further we will establish the equivalent conditions between the dynamical behavior of numerical methods of stochastic systems and the dynamical behavior of the corresponding stochastic systems and prove theoretically the equivalence between the simulations of dynamical behavior of stochastic systems and the criteria of dynamical behavior of the corresponding systems. Finally, we will apply the theory above to study supply chain logistics management. Based on periodic checking stocks supply chain systems with automatic inventory and reorder strategy, we will analyze the causes that bring forth complex dynamical behavior of s
英文关键词: Numerical method;Nonlinear stochastic systems;Dynamic behavior;Chain systems;