SGER: Design and Analysis of Large Scale Complex Networks

这一小笔探索性研究补助金(SGER)为基于复杂网络统计力学的新方法的开发提供资金，以解决工程系统规模不断扩大的问题。具体地说，供应链、传感器网络和国土安全被视为大规模工程系统的例子。本文的工作将集中在两个方面：1.通过开发有效的分布式信息发送和接收算法，实现加权复杂网络中的信息路由。2.通过设计即使在不利或混乱的条件下也能够继续有效运行的网络来实现复杂网络的生存性。该项目旨在开发一门涵盖物理、数学和工程系统的跨学科研究生课程。如果这项研究成功，将为设计和分析大规模工程网络开辟一条新的途径。分析加权网络的数学模型将彻底改变在任何复杂网络中进行搜索的方式。这项研究的结果可以很容易地移植到从社交网络到电信网络的各种应用中。这是一个将影响整个社会的重要观点。具体地说，该项目的成功将影响供应链、国土安全和传感器网络的设计和分析。从长远来看，这项研究将导致形成一个跨学科的计划/研究所，从复杂网络的角度促进大规模工程系统的研究。

This Small Grant for Exploratory Research (SGER) provides funding for the development of new methods based on statistical mechanics of complex networks to address the problem of growing scale of engineered systems. In specific, supply chains, sensor networks and homeland security are considered as examples of large-scale engineered systems. The work will focus on two areas: 1. Information routing in weighted complex networks by developing efficient decentralized algorithms for sending and receiving information. 2. Survivability of complex networks by designing networks that have the ability to continue to operate effectively even under adverse or chaotic conditions. The project aims to develop an interdisciplinary graduate level course covering Physics, Mathematics and Engineered systems.If successful this research will create a new pathway to design and analyze large-scale engineered networks. The mathematical models for analyzing weighted networks will revolutionize how search will be done in any complex network. The results of this research can easily be migrated to applications as diverse as social networks to telecommunication networks. This is a significant point that will influence the society at large. In specific, this project's success will influence supply chains, homeland security and sensor networks design and analysis. This research, in the long run, will lead to formulating an inter-disciplinary program/institute to foster the study of large scale engineered systems from a complex networks point of view.