报告题目 | Accelerating the convergence in the single-source and multi-source Weber problems | ||
报告人(单位) | 蒋建林(南京航空航天大学) | ||
点评人(单位) | 王海燕(系统工程研究所) | 点评人(单位) | 何勇(系统工程研究所) |
时间地点 | 时间:2012年9月26日(周三)下午2点 地点:九龙湖经管楼B-201 | ||
报告内容摘要 | | ||
报告内容: Single-source Weber problem (SWP) and multi-source Weber problem (MWP) are two classical models in facility location. The modified Weiszfeld method is a standard algorithm for solving SWP. In this talk, in order to accelerate the efficiency for solving SWP, a numerical method, called Weiszfeld-Newton method, is developed by combining the modified Weiszfeld method with the well-known Newton method. Global convergence of the new Weiszfeld-Newton method is proved under mild assumptions. For the multi-source Weber problem (MWP), a new location-allocation heuristic, Cooper-Weiszfeld-Newton method, is presented in the spirit of Cooper algorithm, using the Weiszfeld-Newton method in the location phase and adopting the nearest center reclassification algorithm (NCRA) in the allocation phase. Preliminary numerical results are reported to verify the effectiveness of Weiszfeld-Newton method for SWP and Cooper-Weiszfeld-Newton method for MWP. 报告人简介: 蒋建林2000年毕业于南京大学数学系计算数学专业,获理学学士学位;2005年毕业于南京大学数学系计算数学专业,获理学博士学位,现为南京航空航天大学数学系副教授,数学系副主任,硕士生导师,中国运筹学会会员。主要研究兴趣包括设施选址模型的研究与应用、数值最优化、管理科学中的数学方法。近年来以第一作者发表学术论文近20篇,并有多篇论文发表在European Journal of Operational Research, Computational Optimization and Applications等运筹与优化重要学术期刊上。报告人与国内外学者合作密切,多次到新加坡、香港等地高校进行长期访问与交流。目前作为项目主持人承担国家自然科学基金一项,江苏省自然科学基金一项。 |