一种用分数进行双面匹配的方法

Q. Yue
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引用次数: 0

摘要

本文提出了一种解决双边匹配问题的新方法,其中代理提供的偏好以分数的形式存在。首先,给出了带有分数的双边匹配问题的描述。然后给出了满意度的相关概念。考虑各智能体的满意度,建立了多目标优化模型。采用线性加权法将多目标优化模型转化为单目标优化模型。通过求解模型得到匹配结果。最后,给出了一个数值算例来说明该方法的应用。
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A method for the two-sided matching with scores
This paper proposes a novel method for solving the two-sided matching problem, in which the preferences provided by agents are in the form of scores. Firstly, the problem description of two-sided matching with scores is given. Then the related concepts on satisfaction degree are given. Considering the satisfaction degree of each agent, a multi-objective optimization model is set up. The linear weighted method is used to convert the multi-objective optimization model into a single objective model. The matching result is obtained by solving the model. Finally, a numerical example is given to illustrate the use of the proposed method.
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