考虑主体心理行为的一对多双边匹配决策方法

Decision Analysis Method for One-to-Many Two-Sided Matching Considering Psychological Behavior of Agents

一对多双边匹配问题在现实中存在着广泛的实际背景,如何在同时考虑双方的主体的满意程度以及中介利益的前提下,获取合适的一对多双边匹配决策结果是一个有价值的研究问题.文中针对具有偏好序值信息的一对多双边匹配问题,给出了一种新的双边匹配决策方法.首先给出了一对多双边匹配的概念以及A边、B边和双边完全匹配的概念,并给出了具有偏好序值信息的一对多双边匹配问题描述;其次,为获得匹配结果,依据行为决策理论中的前景理论计算出主体间的前景值,并在此基础上以每边主体前景值之和最大为目标构建双目标优化模型,通过模型求解获得最优的A边(或B边)完全匹配结果.最后,通过一个IT软件外包双边匹配的例子说明了提出方法的可用性.

One-to-many two-sided matching problem has a wide practical background in reality.On the premise of ensuring the satisfaction degrees of agents on both sides and the interests of intermediary,how to propose an appropriate oneto-many matching decision method is worth studying.A new decision method is proposed to solve the one-to-many two-sided matching problem with the preference ordinal number information.Firstly,the concepts of one-to-many two-sided matching and complete matching on side A side B and both sides are introduced.Then,the description of one-to-many two-sided matching problem with preference ordinal number information is given.Furthermore,to obtain the matching result,the prospect values between agents are calculated based on prospect theory of behavioral decision theory.And on this basis,for maximizing the sum of prospect value of agents on each side,a two-objective optimization model is constructed.The optimal complete matching result on side A(or side B)can be obtained by solving the model.Finally,an example is given to illustrate the practicality and effectiveness of the proposed method.