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基于完全偏好序信息的严格双边匹配方法

ISSN号：1007-9807
期刊名称：《管理科学学报》
时间：0
分类：C934[经济管理—管理学;社会学]
作者机构：[1]东北大学工商管理学院,沈阳110819, [2]江西财经大学信息管理学院,南昌330013
相关基金：国家创新研究群体科学基金资助项目（71021061）;国家自然科学基金资助项目（71071029;71261007;71261006）;教育部人文社会科学基金资助项目（12YJC630080）;江西省自然科学基金资助青年项目（20122BAB211009,20114BAB211006）;江西省社会科学“十二五”规划资助项目（12GL32）.

关键词：双边匹配, 偏好序, 最高可接受偏好序, 严格双边匹配, 优化模型, 匹配结果, two-sided matching, preference ordinal, the highest acceptable preference ordinal, strict two-si- ded matching, optimization model, matching result

中文摘要：

双边匹配问题一直是经济管理等领域研究的热点问题之一.在基于完全偏好序信息的双边匹配问题中,进一步考虑双边主体的最高可接受偏好序,更具有现实意义.针对此类双边匹配问题的研究,尚未受到重视,鉴于此,本文提出了一种严格双边匹配方法.在文中,首先给出了双边匹配的相关概念,然后描述了考虑最高可接受偏好序的基于完全偏好序信息的双边匹配问题.为解决该问题,给出了严格双边匹配的概念及其存在性理论,考虑到双边主体的满意度和最低可接受满意度,构建了多目标优化模型;使用线性加权法将多目标优化模型转化为单目标优化模型,通过求解该单目标优化模型获得匹配结果;最后,通过风险投资商与风险企业的双边匹配实例分析说明了所提方法的可行性和有效性.

英文摘要：

The two-sided matching problem has always been one of the hot issues discussed in the fields of e- conomic management and so on. In the two-sided matching problems with complete preference ordinal informa- it is more significant to consider the highest acceptable preference ordinal of two-sided agents. However, this kind of two-sided matching problem has not yet received great attention. Hence, a strict two-sided matc- hing method is proposed In this paper, the related concept on two-sided matching is firstly introduced, and then the two-sided matching problem with the highest acceptable preference ordinal based on complete prefer- ence ordinal information is described~ In order to solve the problem, the concept and existence theory of strict two-sided matching is given. Considering the satisfaction degree and the lowest acceptable satisfaction degree of two-sided agents, a multi-objective optimization model is developed. By using linear weighted method, the multi-objective optimization model is converted into a single objective model. The matching result is obtained by solving the model. Finally, an illustrative example of two-sided matching between venture investors and venture businesses is given to illustrate the feasibility and validity of the proposed method.

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