Operations research without convexity

无凸性运筹学

• 批准号: DP0343998
• 负责人: Prof Adil Bagirov
• 金额: $ 24.04万
• 依托单位: Federation University Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2003
• 资助国家: 澳大利亚
• 起止时间: 2003-01-01 至 2008-08-29
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0343998
• 关键词: Operations; research; without; convexity

Operations Research (OR) is one of the most applicable areas of mathematics and of importance for the future of technologically advanced Australia. However, applications of OR often require convexity. This is a serious limitation. A new approach, monotonic analysis, which is applicable to a broad class of nonconvex problems, was given birth by the CI. Promising results have been obtained and leading researchers around the world (including the Presidents of the Canadian Mathematical and French Applied Mathematics Societies) are keen to work with the CI developing this topic. This project both cements and extends world leadership in this field.

运筹学（OR）是数学最适用的领域之一，对技术先进的澳大利亚的未来至关重要。 然而，OR的应用通常需要凸性。这是一个严重的限制。单调分析是一种新的方法，它适用于广泛的一类非凸问题，由CI诞生。已经取得了可喜的成果，世界各地的主要研究人员（包括加拿大数学和法国应用数学学会的主席）都热衷于与CI合作开发这一主题。该项目巩固并扩大了该领域的世界领先地位。