Career: Approximation Algorithms: Methodology and Applications

本项目致力于设计和分析NP-Hard问题的快速逼近算法，具有良好的性能保证。尽管最近在近似的难度方面取得了很好的结果，但这位PI和他的博士生在引入新的方法来设计和分析近似算法方面发挥了重要作用，并改进了一系列问题的最著名的性能保证。特别是，这个项目的目标包括：(1)设计和分析近似算法的方法的发展和改进；(2)各种组合问题的近似算法的偏差和改进的性能保证；(3)在电子工程和计算机科学、计算分子生物学和材料科学中出现的重要实际问题的实际解决方案。该职业助学金的综合教育计划包括：(1)本科生参与开发基于近似算法的高效软件代码；(2)开发针对不断变化的就业市场的本科生和研究生课程；(3)开发关于优化算法的多媒体教科书。*

This project focuses on designing and analyzing fast approximation algorithms for NP-hard problems, with good performance guarantees. Despite the recent strong results on the hardness of approximations, the PI and his Ph.D. Student have been instrumental in introducing new methodologies for designing and analyzing approximation algorithms, and in improving the best known performance guarantees for a wide range of problems. In particular, the goals of this project include: (1) Development and refinement of methodologies to design and analyze approximation algorithms; (2) The deviation of approximation algorithms with improved performance guarantees for a variety of combinatorial problems;(3)The actual solution of important practical problems, arising in electrical engineering and computer science, in computational molecular biology, and in material science. The Integrated Educational Plan of this CAREER Grant includes: (1) Involvement of undergraduates in developing efficient software codes based on approximation algorithms; (2) Development of undergraduate and graduate course which address the changing job markets; (3) Development of a multimedia textbook on optimization algorithms.***