摘要
为提高研究生新生(以下简称“研究生”)与导师对匹配方案的整体感知满意度,针对导师和研究生形成的一对多双边匹配问题,从行为科学视角,梳理师生双方对匹配方案感知的心理因素,结合前景理论解决此类问题。首先,将师生双向互选过程描述为一对多双边匹配问题,并将其转化为一对一双边匹配问题;接着,基于前景理论刻画双边主体在不同偏好序下的心理感知,构建师生双方基于偏好序的感知满意度函数;然后,建立稳定匹配条件下最大化师生整体感知满意度的双边匹配决策模型。最后,结合遗传算法对问题进行求解,并通过数值算例验证了算法及模型的有效性和可行性。
In order to enhance the perception satisfaction of two-sided agents towards matching scheme,aiming to address a one-to-many two-sided matching problem between postgraduates and supervisors,prospect theory is introduced to address this issue by considering their psychological factors from the perspective of behavior science.Firstly,selection process between postgraduates and supervisors is defined asa one-to-many two-sided matching problem,and then is further transformed into a one-to-onematching problem.Next,prospect theory is used to characterize the psychological perception of agents under different preference ordinals,thus developing corresponding perception satisfaction function with stable matching condition.After that,a two-sided matching decision model to maximize overall perception satisfaction of postgraduates and supervisors is proposed.Finally,genetic algorithm is designed to solve the multi-objective model.Besides,a numerical example is also presented to illustrate proposed model and method.Computational results demonstrate their significant potential advantages in the matching problem between postgraduates and supervisors.
作者
刘桔
杨琴
周永务
曹策俊
LIU Ju;YANG Qin;ZHOU Yong-wu;CAO Ce-jun(School of Business Administration,South China University of Technology,Guangdong 510641,China;School of Business,Sichuan Normal University,Sichuan 610101,China;School of Business Planning,Chongqing Technology and Business University,Choogging 400067,China)
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2020年第3期16-26,43,共12页
Operations Research and Management Science
基金
国家自然科学基金重点项目(B5150510)
国家自然科学基金项目(71904021,71401118)
重庆市社会科学规划项目(2019QNGL27)
重庆市教委科学技术研究项目(KJQN201900830)
教育部人文社科青年基金项目(13YJC630202)
四川省社科规划项目(SC14B065)
四川省教育厅重点项目(14ZA0026)
重庆工商大学校内科研项目(1951025)
重庆工商大学引进高层次人才科研启动项目(1955011)
关键词
一对多双边匹配
偏好序
前景理论
感知满意度
遗传算法
one-to-many two-sided matching
preference ordinal
prospect theory
perception satisfaction
genetic algorithm
