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.

这个项目开发了两种数学方法来分析通信中的问题。其一是入住率模型的大偏差分析。占有率模型提供了一种简单、通用的概率结构，该结构已在许多领域得到应用。拟议的大偏差方法不同于以前对这类模型的许多分析，也是对这些模型的补充。在有线和无线通信问题的推动下，该研究计划将开发可明确计算的大偏差渐近近似，并将开发重要抽样等方法，以提供即使在非渐近区域也能提供准确结果的方法。第二个主题是移动通信随机自适应算法的设计。这一应用领域的范围更窄，对下一代高速率无线接入系统的工程师特别感兴趣。然而，在这一范围内，这些活动是一般性和根本性的。这里的重点是用于分析无线调度算法的方法的发展，以及新算法的发展。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之间对研究生的联合监督。对于参与其中的研究生，朗讯科技将在暑期实习，这将在多个方面补充更传统的培训。这两个研究的焦点领域，即占有率模型和无线调度，都是受商业技术发展推动的具有挑战性的智力问题。除了与特定的行业导师合作外，学生还有机会参加讲座和研讨会，并总体上受益于正在开发的各种当前问题和解决方法。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，活跃两个机构的知识氛围。拟议研究的目标是在可能适用于未来问题的框架内，为解决当前感兴趣的问题提供坚实的、基本的数学基础。