Interdisciplinary Grants in the Mathematical Sciences: Combinatorial Methods in Manufacturing

该提案是一个跨学科的研究项目，重点是组合论和工业工程方面的教育。这位首席研究员建议大大拓宽她在工业工程方面的背景，特别是在制造系统和供应链管理方面，与工程和工业研究人员建立合作，并建立一个关于概率组合学和制造业应用的跨学科研究计划。2003-2004学年，她将在德克萨斯州农工大学德怀特·洛克工程学院工业工程系度过。她计划参加IE的几门课程，并通过参加研讨会和项目与工程师和他们的研究生密切互动。她计划致力于两个项目，一个是专注于识别和缓解企业风险的新方法，另一个是将概率组合数学应用于供应链网络的随机模型。该提案的目的既是研究，也是教育。在研究方面，国际和平研究所希望与工程和工业领域的研究人员建立长期的合作关系，并在数学和工业工程文献中传播结果，以及直接向工业传播。在教育方面，国际和平研究所将把获得的经验带回数学系。除了创建跨学科的课程和项目外，PI还将为发展一个新的国土安全数学应用研究所做出贡献，这将极大地加强TAMU的研究和教育计划。该IGMS项目由重大计划多学科活动办公室(OMA)和数学科学处(DMS)共同支持。

The proposal is an interdisciplinary research project with an educational emphasis in combinatorial theory and industrial engineering. The principle investigator proposes to substantially broaden her background in industrial engineering, specifically in manufacturing systems and supply chain management, to establish collaboration with researchers in engineering and industry, and to build an interdisciplinary research program on probabilistic combinatorics and applications in manufacturing.The PI will spend the 2003--2004 academic year in the Department of Industrial Engineering (IE) at the Dwight Look College of Engineering, Texas A&M University (TAMU). She plans to take several courses from IE and to interact closely with engineers and their graduate students by participating in seminars and projects. She plans to work on two projects, one is focused on new approaches for identifying and mitigating enterprise risk, and the other is concerned with the application of probabilistic combinatorics to stochastic model of supply chain networks.The objective of the proposal is both research and educational. On the research side, the PI expects to establish a long term collaboration with researchers in engineering and industry, with results disseminated in both the mathematical and industrial engineering literatures, as well as directly to industry. On the educational side, the PI will bring the experiences gained back into the Department of Mathematics. In addition to creating interdisciplinary courses and projects, the PI will contribute to the development of a new institute on Mathematical Applications in Homeland Security, which will greatly enhance the research and education program at TAMU. This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).