| The authorities of housing security in China face an urgent problem that how they could allocate the public housing to the vulnerable groups with different housing demand fairly and efficiently. Aiming to solve this pratical problem involving public interest, we maintain that the allocation of public housing should take the matching relationship between the vulnerable family and public housing into consideration in the basis of procedural fairness. Therefore, focusing on the analysis of the vulnerable groups’housing demand, we design its normal identification mode. After collecting and storing the housing demand and basic information with the help of modern information technology, we adopt the methods in the fields of management optimization and decision science to construct two family-housing matching mechanisms based on different types of demand information, and put forward a practical case in which the matching mechnisms are implemented as an e-government software system at last. Our work and contributions are included in three aspects as follows:First, we carry out the specific analysis on the vulnerable groups’housing demand, and put forward two identification modes. Learning from the theories on preference and choice in economics and psychology, we design two identification modes for housing demand which are respectively based on housing attributes’expectations and perception, and preference orderings. The two identification modes cover the implicit housing demand and explicit housing demand exactly, and have a good practicality.Second, we put forward a housing allocation model based on implicit housing demand, which is reflected by housing attributes’expectations and perception. According to this information, we first establish an evaluation system on matching degree between the vulnerable family and public housing, and then construct a multi-object housing allocation model, which can be summarized as a standard 0-1 integer linear programming model. The model has succinct expressions, mature solving algorithms and is suitable in the practical decision-making context.Third, we put forward a housing allocation model based on explicit housing demand, which is reflected by preference orderings. According to this information, we first establish an evaluation system on matching utility between the vulnerable family and public housing, and then construct another housing allocation model considering two sides’ preference orderings meanwhile. Comparing with the typical two-sided mathing model, the model integrates the maximum cardinality and maximum weight as optimal objectives, and it is based on uncertain ordering information and has better practicality.Finally, we apply our allocation models in S City, and design a set of e-government software to solidify our research result. We think that these matching mechanisms can take good effect in the actual context. |