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大规模一对多双边匹配问题的决策方法

Decision-making Method of Large-scale One-to-many Two-sided Matching Problem
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摘要 针对具有偏好序信息的大规模一对多双边匹配问题,提出了一种考虑稳定性和满意性的双边匹配方法。首先,对具有偏好序信息的一对多双边匹配问题进行了描述;其次,阐述了一对多双边匹配的相关概念;进一步地,为了降低双边匹配问题的规模和提高求解效率,设计了一对多双边稳定匹配的偏好列袁简化规则,在此基础上,构建了以每方主体序值之和最小为目标的双目标优化模型,并证明了模型中的线性约束条件能够保证得到一对多双边稳定匹配;然后,采用模糊线性优化方法将双目标模型转换为单目标模型进行求解。 A two-sided matching method considering stability and satisfaction is proposed to solve the large-scale one-to-many two-sided matching problem with preference orderings information. Firstly, the description of one-to-many two-sided matching with preference orderings information is given. Secondly, the related concepts on one-to-many two-sided matching are introduced. Furthermore, in order to reduce the scale of two-sided matching problem and improve the solving efficiency, a reduction rule of preference lists for one-to-many stable matching is designed. On this basis, a bi-objective optimization model minimizing the sum of ordinal numbers of each side agents is constructed, and it is proved that the linear constraint conditions can he guaranteed to obtain a bi-objective model is transformed into a single objective model using can be obtained. one-to-many two-sided stable matching. Then, the the fuzzy linear optimization method, whose solution
作者 孔德财 姜艳萍 刘长平 KONG De-cai1,2 ,JIANG Yan-ping1 ,LIU Chang-ping2 ( 1. School of Business Administration, Northeastern University, Shenyang 110169, China 2. Faculty of Management Engineering, Huaiyin Institute of Technology, Huaian 223003 ,China)
出处 《系统工程》 CSSCI 北大核心 2018年第1期153-158,共6页 Systems Engineering
基金 国家自然科学基金资助项目(71571040) 国家社会科学基金资助项目(17BSH040)
关键词 一对多双边匹配 大规模双边匹配 稳定匹配 简化规则 多目标优化模型 One-to-many Two-sided Matching Large-scale Two-sided Matching Stable Matching Reduction Rule Multi-objective Optimization Model
作者简介 孔德财(1984-),山东临沂人,淮阴工学院讲师,博士,研究方向:管理决策分析.;姜艳萍(1968-),女,辽宁沈阳人,东北大学教授,博士生导师,研究方向:管理决策分析,运筹与管理等.;刘长平(1974-),河南洛阳人,淮阴工学院副教授,博士,研究方向:智能优化算法。
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