University - Industry Cooperative Research Programs in the Mathematical Sciences: Large Deviations Analysis and Monte Carlo Methods for High Speed Telecommunications Networks

9508709格拉瑟曼数学科学中的大学-产业合作研究项目是一个旨在为学术界和产业界在其职业生涯的不同阶段交流数学科学家的机制而设计的项目。这些计划将加强产业界和学术界之间的联系，并确定和鼓励数学科学研究的新途径。大学-工业博士后研究奖学金为最近获得数学科学博士学位的人提供两年的支持。这些奖项是为国家科学努力的未来活力做出贡献的一种手段。这位博士后研究员将与学术界和工业界的科学顾问密切合作。在不久的将来，高速电信网络的新兴标准对数学建模和计算提出了新的挑战，并为先进的数学思想提供了帮助塑造一项重大新技术的绝佳机会。新技术的高速发展和新业务严格的性能约束要求对它们的分析需要发展和应用随机过程的渐近方法。该项目通过开发新的性能渐近性和界限，以及开发用于网络设计和控制的数值评估的高效、健壮的蒙特卡罗方法来满足这一需求。

DMS-9508709 Glasserman The University-Industry Cooperative Research Programs in the Mathematical Sciences are programs designed to establish a mechanism for exchange of mathematical scientists between academia and industry at different stages of their careers. These programs will strengthen the links between industry and academia and identify and encourage new avenues of research in the mathematical sciences. The University-Industry Postdoctoral Research Fellowships provide two years of support for recent recipients of doctoral degrees in the mathematical sciences. These awards are a means of contributing to the future vitality of the scientific effort of the nation. The postdoctoral fellow will work closely with scientific advisors from both academia and industry. Emerging standards for high-speed telecommunications networks of the near future pose new challenges for mathematical modeling and computation, and offer an exceptional opportunity for advanced mathematical ideas to help shape a major new technology. The high speed of the new technology and the stringent performance constraints of new services require for their analysis the development and application of asymptotic methods for stochastic processes. This project addresses that need through the development of new asymptotics and bounds for performance, and the development of efficient, robust Monte Carlo methods for numerical evaluation of network designs and controls.