考虑双边主体公平性的稳定匹配决策方法  

Stable Matching with Fairness for Two-sided Agents

作　　者：孔德财[1] 姜艳萍[1] 梁海明[1] 

机构地区：[1]东北大学工商管理学院,沈阳110819

出　　处：《系统管理学报》2015年第3期397-404,共8页Journal of Systems & Management

基　　金：国家自然科学基金资助项目(71271050);高等学校博士学科点专项科研基金资助课题(20110042110011)

摘　　要：针对一对一双边匹配决策问题,依据双边主体给出的多指标评价信息提出了一种新的双边匹配决策方法。给出了稳定匹配和公平匹配的相关概念,并给出了双边主体满意度的计算方法;建立了考虑稳定性、公平性和满意性的多目标优化模型,并设计了一个多目标遗传算法用于求解模型。最后,通过教育服务机构中学生与老师的双边匹配实例验证了方法的实用性和有效性。For the one to one two-sided matching problem, a new two-sided matching method based on multiple criteria information of two-sided agents is proposed. Firstly, the concept of stable matching and fair matching in two-sided matching are introduced, and the computing method of two-sided matching agents＇ satisfaction is developed. Secondly, a mathematical model of two-sided matching considering stability, fairness and satisfaction is constructed. A multi-objective genetic algorithm is designed to solve the model. An example of students and teachers matching in educational institution is used to illustrate feasibility and validity of the proposed method.

关 键 词：双边匹配 稳定匹配 公平匹配 满意度 多目标优化模型 

分 类 号：F270[经济管理—企业管理] C934[经济管理—国民经济]