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 | 使用消息传递算法解决无容量限制的设施选址问题Solving the uncapacitated facility location problem using message passing algorithms | |
| 课程网址: | http://videolectures.net/aistats2010_lazic_stufl/ | 
| 主讲教师: | Nevena Lazic | 
| 开课单位: | 多伦多大学 | 
| 开课时间: | 2010-06-03 | 
| 课程语种: | 英语 | 
| 中文简介: | 无电容设备定位问题是研究最广泛的离散定位问题之一,其应用领域广泛。我们使用图形模型中的概率推断来处理UFLP—这种方法在过去很少受到关注。证明了极大积线性规划(MPLP)是极大积算法的凸化版本,它的不动点可用于构造度量UFLP实例的具有3近似保证的解。此外,我们还描述了保证MPLP解决方案全局最优的一些场景。我们通过对度量和非度量问题的经验分析,评价了极大和和和的性能,证明了3近似构造的优点和算法对非度量实例的适用性。 | 
| 课程简介: | The Uncapacitated Facility Location Problem (UFLP) is one of the most widely studied discrete location problems, whose applications arise in a variety of settings. We tackle the UFLP using probabilistic inference in a graphical model - an approach that has received little attention in the past. We show that the fixed points of max-product linear programming (MPLP), a convexified version of the max-product algorithm, can be used to construct a solution with a 3-approximation guarantee for metric UFLP instances. In addition, we characterize some scenarios under which the MPLP solution is guaranteed to be globally optimal. We evaluate the performance of both max-sum and MPLP empirically on metric and non-metric problems, demonstrating the advantages of the 3-approximation construction and algorithm applicability to non-metric instances. | 
| 关 键 词: | 消息传递算法; 无容量限制的; 设施选址问题 | 
| 课程来源: | 视频讲座网 | 
| 最后编审: | 2021-01-30:nkq | 
| 阅读次数: | 92 | 
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