Nonlinear network optimization methods on static and temporal networks

静态和时态网络的非线性网络优化方法

• 批准号: 7406-2006
• 负责人: Florian, Michael
• 金额: $ 3.5万
• 依托单位: Université de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=389519
• 关键词: Nonlinear; network; optimization; methods; static

The work reported in this progress report covers the period of April 1, 2001 to the end of September 2005. Current ongoing work that I expect to complete by the end of March 2006 is described as well. My research during this period includes the mathematical modeling of transportation flows on networks (persons, vehicles, freight) and methodological aspects of these models (nonlinear cost network flow models, variational inequality models) and in particular, dynamic models of route choice on urban transportation networks. The calibration, validation and application of these models on certain problems arising from practice and the further development of the EMME/2 and Dynameq interactive-graphic software package for persons and vehicular transportation planning continue to represent my main applied research interest. As will be detailed in the body of the proposal, I intend to continue my research activities in these areas. I have been named Professor Emeritus as of June 1st 2004. This will allow to involve students at the M.Sc. and Ph.D level in the theoretical and practical aspects of the mathematical modeling of transportation systems and the application of these models. Most of these students, upon leaving the University, were able to continue similar work in their employment.

本进度报告所述的工作涵盖2001年4月1日至2005年9月底。还介绍了我预计在2006年3月底之前完成的目前正在进行的工作。在此期间，我的研究包括网络（人，车辆，货物）和这些模型的方法（非线性成本网络流模型，变分不等式模型），特别是在城市交通网络的路径选择的动态模型的数学建模。这些模型的校准，验证和应用的某些问题所产生的实践和进一步发展的EMME/2和Dynameq交互式图形软件包的人员和车辆运输规划继续代表我的主要应用研究兴趣。我打算继续在这些领域开展研究活动，这一点将在提案正文中详细说明。2004年6月1日，我被任命为名誉教授。这将使学生在硕士和博士水平的理论和实践方面的交通系统的数学建模和这些模型的应用。这些学生中的大多数在离开大学后，能够继续从事类似的工作。