Manufacturing and Mathematics

这个项目由数学科学项目中的跨学科拨款资助，包括研究和教育两个部分。这位首席研究员建议大大拓宽他在工业工程方面的背景，特别是在制造系统设计方面，以建立一个关于制造业中计算几何和优化问题的跨学科研究计划。他计划研究和应用数学方法来解决制造系统设计中的各种问题，主要是那些涉及公差的设置和评估，以及自动化机器的路线。除了与计算机辅助制造实验室的成员合作外，他还计划通过教授IE项目的本科生课程、参加其高级设计诊所和参加研究生课程来更好地了解工业工程。这个项目的目标是双重的。在研究方面，PI希望与CAM实验室发展持续的工作关系，结果在数学和工业工程文献中传播，以及直接传播到行业。在教育方面，该中心将把所取得的经验带回数学系，并协助其工业数学课程的发展。还有可能在两个部门之间开设研究生级的跨学科课程。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。

This project is funded by the Interdisciplinary Grants in the Mathematical Sciences program, with both research and educational components. The principal investigator proposes to substantially broaden his background in industrial engineering, specifically in manufacturing system design, to build an interdisciplinary research program on computational geometry and optimization problems in manufacturing. He plans to study and apply mathematical methods to a variety of problems in the design of manufacturing systems, primarily those involving the setting and evaluation of tolerances, and the routing of automated machinery.The PI will spend the 2000-2001 academic year in the Industrial Engineering Program at the University of Cincinnati. In addition to collaborating with the members of the Computer-Aided Manufacturing Laboratory, he plans to develop a better understanding of Industrial Engineering by teaching undergraduate courses in the IE program, participating in its senior-level Design Clinic, and participating in graduate courses. The goals of this project are twofold. On the research side, the PI expects to develop an ongoing working relationship with the CAM laboratory, with results disseminated in both the mathematical and industrial engineering literatures, as well as directly to industries. On the educational side, the PI will bring the experiences gained back into the Mathematics Department, and assist in the development of its Industrial Mathematics program. The possibility may also arise for the creation of interdisciplinary courses between the two departments at the graduate level. This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).