NSF-CGP Science Fellowship Program: Fluid Flow Approximation in Open Networks

小行星9402505 这笔奖金用于支付哥伦比亚大学工业工程和业务研究系的Karl Sigman博士1995年初在日本度过7个月的国外旅费。Sigman博士将与东京理科大学信息科学系的Masakiyo Miyazawa教授在开放网络中的流体流动近似领域进行理论研究。 随着时间的推移到达设施的离散对象（如数据位、作业和客户）可以近似为流体流。本研究的目的是获得近似和边界的情况下，系统性能的原语的模型，如到达和处理机制，是一般的过程。 这样的近似和界限在电信、制造业和金融等不同领域都很有意义，在这些领域中，真实的系统变得越来越复杂，并且不容易通过经典的排队方法进行分析。 离散系统的流体流动模型作为重要但数学上难以处理的系统的分析工具而引起人们的兴趣。该项目汇集了 Sigman博士的相关研究兴趣是流体流近似对排队网络的重要性，并与世界排名排队理论家之一的Miyazawa教授的专业知识相结合。 该奖项由日本基金会全球伙伴关系中心（CGP）根据NSF-CGP科学奖学金计划资助。 ***

9402505 Sigman This award supports the foreign travel expenses for Dr. Karl Sigman from the Department of Industrial Engineering and Operations Research at Columbia University to spend seven months in early 1995 in Japan. Dr. Sigman will be conducting theoretical research with Professor Masakiyo Miyazawa of the Department of Information Sciences at the Science University of Tokyo in the area of fluid flow approximation in open networks. Discrete objects such as bits of data, jobs, and customers, arriving over time to a facility can be approximated as a flow of a fluid. The purpose of this study is to obtain approximations and bounds for system performance in the case when primitives of the model, such as the arrival and processing mechanisms, are general processes. Such approximations and bounds are of interest in areas as diverse as telecommunications, manufacturing and finance, where real systems are becoming increasingly complex and are not easily analyzed through classic queuing methods. Fluid flow models of discrete systems are of interest as providing tools for the analysis of systems that are important yet mathematically intractable. This project brings together the related research interests of Dr. Sigman in the importance of fluid flow approximation to queuing networks with the expertise of Prof. Miyazawa, one of the world's ranking queuing theorists. This award is funded under the auspices of the Center for Global Partnership (CGP) of the Japan Foundation under the NSF-CGP Science Fellowship Program. ***