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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: 55