区间负荷约束下立体复杂供应链网络相继故障机理及H∞鲁棒控制研究

In order to ensure the robustness of complex supply chain network, it is necessary to study the spread mechanism and control strategy of cascading failure for supply chain network based on disruption events. However, the existing studies on cascading failure of complex network generally assume that only the overload can cause nodes or edges failures in single-layer network. In fact, the complex supply chain network with multi-layer structure will also fail to work with too small load. In view of this, we describe a three-dimensional complex network constituted by information layer and physical layer, and then build up the interval load failure function with constraint boundaries of minimum load, maximum load (capacity of nodes) and tolerance load. Furthermore, we also study the pass-through effect of interlayer failure according to interlayer mapping function. An integrated robustness index is proposed, which is constructed by feedback control theory and multiple objective programming. It can measure the network robustness based on the preferential redistribution rule of load. For time-varying complex supply chain network system disrupted by different kinds of events, we construct a state equation between node load and flow by dynamic programming, and adopt H∞ robust control theory to design feedback controller and obtain the corresponding control strategies, which is aim to prevent the occurrence of cascading failure. The implement of this project has innovative meanings for enrichment and improvement of supply chain network optimization theory system.

为保障复杂供应链网络的鲁棒性，有必要研究干扰事件下供应链网络上的相继故障传播机理和控制策略。然而，现有网络相继故障研究都在单层网中假设负荷过载而导致节点或边失效，事实上具有多层网络结构的复杂供应链网络在过小负荷状态下也无法正常运作。由此，本项目描述了由信息层网络和物理层网络组成的立体复杂网络，构建了最小负荷、最大负荷（节点容量）、可容忍最大负荷为约束边界的区间负荷失效函数，并通过层间映射函数研究层间失效的传递效应。同时提出一种基于反馈控制原理和多目标规划方法构建的综合鲁棒性指标，以此衡量负荷择优分流策略下的网络鲁棒性。为了有效控制和预防相继故障发生，项目还针对不同形式干扰事件下的时变复杂供应链网络系统，运用动态规划方法构建网络节点负荷与流量间状态方程，并采用H∞鲁棒控制理论设计反馈控制器，在此基础上获取相应的控制策略。该项目的实施对于丰富和完善供应链网络优化理论体系具有创新意义。

为保障复杂供应链网络的鲁棒性，本项目研究了干扰事件下供应链网络上的相继故障传播机理和控制策略。本项目构建了由信息层网络和物理层网络组成的立体复杂供应链网络，构建了节点负荷、节点容量描述的负荷失效函数，并通过层间映射函数研究层间失效的传递效应。通过对供应链网络的节点移除仿真发现，这种立体网络的级联失效存在一级相变现象。为了有效控制和预防相继故障发生，项目还针对不同形式干扰事件下的时变复杂供应链网络系统，运用动态规划方法构建网络节点负荷与流量间状态方程，并采用H∞鲁棒控制理论设计反馈控制器，在此基础上获取相应的控制策略。本项目的研究成果有助于让我们了解供应链网络在遭遇干扰事件时的鲁棒性，可以为进一步的供应链网络结构优化和级联失效控制研究提供科学依据，该项目的实施对于丰富和完善供应链网络优化理论体系具有创新意义。