CT-ISG: Percolation Processes and the Design of Highly Resilient Wireless Networks

该项目基于对最大连接组件的定性和定量特性的研究，为高弹性无线网络建立了一个基本的分析和设计框架。本研究的重要数学基础来自于渗流理论。基于连续渗流的最新成果，该项目设计了网络结构，以大大提高大规模无线网络对攻击、自然灾害或资源枯竭导致的节点和链路故障的恢复能力。该项目的预期成果包括：(1)更深入地了解具有多个传输功率水平和信道衰落的大规模无线网络的渗透过程和弹性；(2)分析网络对程度相关和级联节点故障的弹性；(3)设计最大限度地提高对随机节点和链路故障的弹性的无线网络结构。(4)用信噪比模型和有向图描述无线网络中的渗透和弹性；(5)移动无线网络中的渗透和弹性。该项目将(1)对国家安全、商业企业、科学探索和研究、卫生服务和其他重要社会项目中使用的无线网络架构的可靠性和安全性产生直接和长期的影响；(2)通过计划课程影响本科和研究生教育；(3)通过与其他大学部门、政府研究机构和行业合作，加强研究和教育基础设施。(4)通过出版刊物以及参加多学科会议和研讨会来增进对科学技术的理解。

This project establishes a fundamental analytical and design framework for highly resilient wireless networks based on the study of the qualitative and quantitative properties of the largest connected component. The essential mathematical basis for this study comes from the theory of percolation. Building on recent results in continuum percolation, the project designs network structures to greatly enhance the resilience of large-scale wireless networks to node and link failures resulting from attacks, natural hazards or resource depletion. Expected results from the project include (1) deeper understanding of percolation processes and resilience in large-scale wireless networks with multiple transmission power levels and channel fading, (2) analysis of network resilience to degree-dependent and cascading node failures, (3) design of wireless networking structures which maximize resilience to random node and link failures, (4) understanding of percolation and resilience in wireless networks described by signal-to-interference-plus-noise-ratio models and directed graphs, and (5) percolation and resilience in mobile wireless networks. This project will (1) have direct and long-term impact on the reliability and security of wireless network architectures used in nationalsecurity, commercial enterprise, scientific exploration and research, health services, and other important social projects, (2) impact undergraduate and graduate education through a planned course, (3) enhance research and education infrastructure through partnering with other university departments, government research institutions, and industry, and (4) enhance scientific and technological understanding through publications as well as participation in multi-disciplinary conferences and workshops.