GOALI: Collaborative Education and Research on Stochastic Process Models in Telecommunication

GOALI：电信随机过程模型的协作教育和研究

• 批准号: 0306070
• 负责人: Paul Dupuis
• 金额: $ 18.9万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-10-01 至 2007-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0306070&HistoricalAwards=false
• 关键词: GOALI; Collaborative; Education; Research; Stochastic

This project develops two mathematical methods for the analysis of problems in communications. The first is the large deviations analysis of occupancy models. Occupancy models provide a simple, generic probabilistic construct that has found use in many fields. The proposed large deviations approach is different from and complementary to much of the previous analysis of such models. Motivated by problems from both wired and wireless communications, the research program will develop explicitly computable large deviation asymptotic approximations, and will also develop methods such as importance sampling to provide accurate results even in the non-asymptotic regime. The second topic is the design of stochastic adaptive algorithms for mobile communication. This area of application is narrower in scope, being of particular interest to engineers of next generation, high-rate wireless access systems. However, within that scope, the activities are general and fundamental in nature. The emphasis here is on the development of methods for the analysis of scheduling algorithms in wireless, and on the development of new algorithms. This project will develop mathematical methods for two important areas in modern telecommunication, with an emphasis on a broad university/industrial training of graduate students. A key component of the research program is the joint supervision of graduate students between Bell Labs and Brown University. For the graduate students that are involved, there will be summer internships at Lucent Technologies, which will supplement the more traditional training in a number of ways. Both research areas of focus, namely occupancy models and wireless scheduling, are challenging intellectual problems that are motivated by developing commercial technology. In addition to working with specific industrial mentors, the students also have the opportunity to attend talks, seminars and generally benefit from exposure to a wide variety of current problems and solution methods whose development is in progress. The proposed collaborative research and associated seminar series will help to strengthen the ties between Bell Labs and Brown University, invigorating the intellectual climate at both institutions. The goal of the proposed research is to provide solid, fundamental mathematical foundations for solving problems of current interest, in a framework that will likely be applicable to problems of the future.

该项目开发了两种用于分析通信问题的数学方法。 首先是占用模型的大偏差分析。 占用模型提供了一种简单、通用的概率结构，已在许多领域得到应用。 所提出的大偏差方法与之前对此类模型的大部分分析不同，但又是互补的。 受有线和无线通信问题的推动，该研究计划将开发显式可计算的大偏差渐近近似，还将开发重要性采样等方法，即使在非渐近状态下也能提供准确的结果。 第二个主题是移动通信随机自适应算法的设计。 该应用领域的范围较窄，下一代高速无线接入系统的工程师特别感兴趣。然而，在此范围内，这些活动本质上是一般性和基础性的。这里的重点是无线调度算法分析方法的开发以及新算法的开发。 该项目将为现代电信的两个重要领域开发数学方法，重点是对研究生进行广泛的大学/工业培训。 该研究计划的一个关键组成部分是贝尔实验室和布朗大学对研究生的联合监督。 对于参与其中的研究生，将在朗讯科技公司进行暑期实习，这将以多种方式补充更传统的培训。 这两个重点研究领域，即占用模型和无线调度，都在挑战由开发商业技术引发的智力问题。 除了与特定的行业导师合作外，学生还有机会参加讲座、研讨会，并且通常会从接触各种当前问题和正在开发的解决方案中受益。 拟议的合作研究和相关研讨会系列将有助于加强贝尔实验室和布朗大学之间的联系，活跃两所机构的知识氛围。 拟议研究的目标是在可能适用于未来问题的框架中为解决当前感兴趣的问题提供坚实的基础数学基础。