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

该项目建立了一个基本的分析和设计框架，高度弹性的无线网络的基础上的最大连接组件的定性和定量属性的研究。 本研究的基本数学基础来自渗流理论。 该项目以连续渗流的最新成果为基础，设计网络结构，以大大提高大型无线网络对攻击、自然灾害或资源枯竭造成的节点和链路故障的复原力。 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中的渗透过程和弹性，（2）分析网络对度相关和级联节点故障的弹性，（3）设计无线网络结构，最大限度地提高对随机节点和链路故障的弹性，（4）理解由信号干扰噪声比模型和有向图描述的无线网络中的渗透和弹性，以及（5）移动的无线网络中的渗透和弹性。 该项目将（1）对用于国家安全，商业企业，科学探索和研究，医疗服务和其他重要社会项目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）通过计划的课程影响本科生和研究生教育，（3）通过与其他大学部门合作加强研究和教育基础设施，政府研究机构和工业界，以及（4）通过出版物以及参加多学科会议和讲习班，加强对科学和技术的了解。

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.