Interdisciplinary Grants in the Mathematical Sciences: Combinatorial Methods in Manufacturing

该提案是一个跨学科的研究项目，教育重点在组合理论和工业工程。首席研究员建议实质性地扩大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，与工程和工业方面的研究人员建立合作，并建立一个关于概率组合学及其在制造业中的应用的跨学科研究计划。该项目将于2003- 2004学年在德州农工大学（TAMU）德怀特·洛克工程学院的工业工程系（IE）学习。她计划从IE学习几门课程，并通过参加研讨会和项目与工程师及其研究生密切互动。她计划在两个项目上工作，一个是专注于识别和降低企业风险的新方法，另一个是关于概率组合学在供应链网络随机模型中的应用。该提案的目的是研究和教育。在研究方面，PI希望与工程和工业领域的研究人员建立长期合作关系，将研究成果传播到数学和工业工程文献中，并直接传播到工业领域。在教育方面，PI将把获得的经验带回数学系。除了创建跨学科课程和项目外，PI还将为一个新的国土安全数学应用研究所的发展做出贡献，这将大大加强TAMU的研究和教育计划。该IGMS项目由MPS多学科活动办公室（OMA）和数学科学司（DMS）联合支持。

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).