Convexification of mathematical programming models

数学规划模型的凸化

• 批准号: 7692-2006
• 负责人: Zlobec, Sanjo
• 金额: $ 0.51万
• 依托单位: McGill University
• 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=389565
• 关键词: Convexification; mathematical; programming; models

Applied mathematics uses mathematical models to describe and possibly solve real-life problems. In this project we study a large class of mathematical models used in optimal decision making processes. It is generally believed that almost all continuous optimization models having a real-life meaning belong to this class. Preliminary results sugest that a canonical form for these is useful.    Illustration: One of the basic problems in oil industry is the problem of mixing crude oil with different sulfur and octane levels to obtain prescribed types of gasoline so that the demand requirements for each gasoline are met and the profit is maximized subject to environmental and other restrictions. Some of the models studied in our project are used by PEMEX (Mexican petroleum). One of the managers of this company is my former student at McGill where he was awarded a doctorate in applied mathematics.

应用数学使用数学模型来描述和解决现实生活中的问题。在这个项目中，我们研究了一大类用于最优决策过程的数学模型。一般认为，几乎所有具有现实意义的连续优化模型都属于这一类。初步结果表明，这些规范形式是有用的。 说明：石油工业中的基本问题之一是混合具有不同硫和辛烷值水平的原油以获得规定类型的汽油的问题，使得满足对每种汽油的需求要求并且在受到环境和其它限制的情况下使利润最大化。在我们的项目中研究的一些模型被PEMEX（墨西哥石油）使用。这家公司的经理之一是我以前在麦吉尔大学的学生，他在那里获得了应用数学博士学位。