动态流网络中输入计量的弹性
Resilience of Input Metering in Dynamic Flow Networks
摘要：
本文研究了动态流网络中输入计量策略在瞬态干扰和攻击下的鲁棒性问题。我们考虑具有先进先出（FIFO）路由规则的动态流网络的分区模型，例如，交通网络。我们的模型的瞬态干扰的影响，作为一个突然变化的网络状态，并使用的概念的区域的吸引力来衡量这些变化的网络的弹性。对于常数和周期输入计量，我们引入单调不变点的概念，建立内估计的自由流平衡点和自由流周期轨道的吸引区域使用单调系统理论。这些结果适用于，例如，网络的周期，这还没有被认为是在以前的文献动态流网络与FIFO路由。最后，我们提出了两种方法来寻找合适的单调不变点的流网络与FIFO规则。
英文摘要：
In this paper, we study robustness of input metering policies in dynamic flow networks in the presence of transient disturbances and attacks. We consider a compartmental model for dynamic flow networks with a First-In-First-Out (FIFO) routing rule as found in, e.g., transportation networks. We model the effect of the transient disturbance as an abrupt change to the state of the network and use the notion of the region of attraction to measure the resilience of the network to these changes. For constant and periodic input metering, we introduce the notion of monotone-invariant points to establish inner-estimates for the regions of attraction of free-flow equilibrium points and free-flow periodic orbits using monotone systems theory. These results are applicable to, e.g., networks with cycles, which have not been considered in prior literature on dynamic flow networks with FIFO routing. Finally, we propose two approaches for finding suitable monotone-invariant points in the flow networks with FIFO rules.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
