中文摘要：

公共住房的合理分配是关系保障性安居工程成败及可持续发展的＂生命线＂。公共住房分配中缺乏科学规划和依据,既难以保障公共住房资源分配的＂公平正义＂,也在一定程度上造成了效率缺失。本文借鉴双边匹配思想,给出了一种基于公理设计和功能过剩的公共住房撮合分配方法,构建了一个公共住房撮合分配多目标优化决策模型。文中给出的公共住房分配案例计算表明,该方法有利于提高公共住房撮合分配的科学性、合理性及正确性,具有一定的可行性和适用性。基于相关系数权重的数值模拟试验,研究进一步探讨了住房保障的发展阶段、住房保障策略与最优撮合分配结果的关系,为公共住房分配提供了一些策略：在住房保障起步和发展阶段,应当优先考虑较高的保障覆盖面,同时也应避免公共住房对保障需求过剩;在住房保障发展成熟和完善阶段,则应当注重提高住房保障的保障水平,尽力满足住房保障对象更高水平的住房改善需求。

英文摘要：

The rational assignment of public housing is the lifeblood of the success and sustainable development of public housing project.Because there is no reasonable plan and approach in the assignment of public housing,it is not only hard to guarantee the＂fairness and justice＂,but also result in the efficiency loss of public housing assignment to some degree.Referring to the theory of dual-matching,public housing matching assignment approach is proposed based on axiomatic design and excess functionality,and a public housing matching and assignment multi-objective optimizing decision model is constructed.The case of public housing assignment calculation illustrates that the proposed approach is provided with the feasibility and practicality,which could improve the scientificity,rationality and accuracy of public housing assignment.With the numerical simulation of membership function coefficient,the relationship of development stage of housing security,housing security strategy and matching assignment solutions are discussed,and some strategies for public housing assignment are proposed：at the beginning and developing stage of housing guarantee,the priority should be given to the guarantee coverage,and the needs excess of public housing should be avoid;at the mature and developed stage,the guarantee level priority should be given to meet the higher housing improvement needs of housing guarantee objects.