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: 2007
• 资助国家: 加拿大
• 起止时间: 2007-01-01 至 2008-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=361342
• 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并可能解决现实生活中的问题。在这个项目中，我们研究了优化决策过程中使用的一大类数学模型。一般认为，几乎所有具有实际意义的连续优化模型都属于这一类。初步结果表明这些的规范形式是有用的。    说明：石油工业的基本问题之一是将不同硫和辛烷值的原油混合以获得规定类型的汽油，从而在环境和其他限制下满足每种汽油的需求要求并实现利润最大化。我们项目中研究的一些模型被 PEMEX（墨西哥石油公司）使用。这家公司的一位经理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。