Collaborative Research: Reliability Analysis of Spatial Systems with Local Interactions

协作研究：具有局部相互作用的空间系统的可靠性分析

• 批准号: 0825908
• 负责人: Way Kuo
• 金额: $ 8.89万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-07-01 至 2011-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0825908&HistoricalAwards=false
• 关键词: Collaborative; Research; Reliability; Analysis; Spatial

This grant provides funding for the development of a modeling framework for spatial reliability/risk analysis of modern engineering systems and business processes, such as micro/nano integrated circuits and large-scale logistics systems. In a spatial reliability system, defects are featured by their spatial location, shape and size. Spatial defects often exhibit local interactions with their neighboring defects, arising from structural, environmental, geographical, or economic constraints. Clusters of interactive defects evolve in space over time and interact with the network topology, and thereby affect the entire system performance. A spatial Markov point process with local interactions will be used to depict the distribution of spatial defects at a fixed time epoch and over a finite time horizon. A dependence theory of random sets, which are used to model spatial defects, will be developed to determine structural properties of reliability/risk measures and to construct their computable bounds. The algorithms for defect cluster classifications and their statistical properties will be investigated. Simulation/computation procedures will be implemented in the context of the developed spatial reliability/risk framework for accurate estimation of spatial reliability measures. The models and methods will be validated using available micro integrated circuits and supply chain data sets. If successful, this research will lead to a new spatial reliability/risk modeling framework as well as a new analytical and computational tools that can be applied in diverse fields such as nano/micro integrated circuits, supply chain networks, financial/credit markets and the Internet. Successful completion of the project will contribute new spatial reliability/risk models and methods, and lead to efficient and accurate reliability estimation and prediction of spatial system performance, which in turn will aid system/process design, improve system reliability and mitigate risk.

该赠款为现代工程系统和业务流程（例如微/纳米集成电路和大规模物流系统）的空间可靠性/风险分析建模框架的开发提供资金。 在空间可靠性系统中，缺陷以其空间位置、形状和大小来表征。由于结构、环境、地理或经济限制，空间缺陷通常表现出与其相邻缺陷的局部相互作用。交互缺陷簇随着时间的推移在空间中演化，并与网络拓扑交互，从而影响整个系统的性能。 具有局部相互作用的空间马尔可夫点过程将用于描述固定时间时期和有限时间范围内的空间缺陷的分布。 将开发用于对空间缺陷进行建模的随机集相关理论，以确定可靠性/风险度量的结构特性并构建其可计算界限。将研究缺陷簇分类的算法及其统计特性。 模拟/计算程序将在已开发的空间可靠性/风险框架的背景下实施，以准确估计空间可靠性措施。 这些模型和方法将使用可用的微集成电路和供应链数据集进行验证。如果成功，这项研究将带来新的空间可靠性/风险建模框架以及新的分析和计算工具，可应用于纳米/微米集成电路、供应链网络、金融/信贷市场和互联网等不同领域。 该项目的成功完成将贡献新的空间可靠性/风险模型和方法，实现高效、准确的空间系统性能可靠性估计和预测，从而辅助系统/流程设计，提高系统可靠性并降低风险。