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In the era of sustainability as the development concept, prefabricated buildings have gradually become an important way to achieve sustainable development of the construction process due to the advantages of high construction speed, energy-saving, and environmental protection. In order to make the prefabricated building develop in a sustainable direction, it is necessary to understand the importance and performance of the critical sustainability aspects of the prefabricated building. However, the existing research has not fully explored this point, and classification research on all aspects of sustainability according to the management priorities of sustainable development is lacking. The present study determines the critical sustainability characterization items (criteria) of prefabricated buildings and uses the importance-performance analysis (IPA) method to explore the sustainability importance and performance level of prefabricated buildings in Guangzhou on the basis of the three dimensions of economic, social, and ecological sustainability. In particular, this study revises the traditional IPA method and uses the comprehensive weight obtained by the analytical network process- (ANP-) entropy weight method to obtain the importance of items. Results show that items “environmental protection” and “construction civilization” are of high importance and perform well. “Construction cost” and “product quality” are considered high-importance items with relatively poor performance; that is, these areas require urgent improvement actions. The “policy support” item at the intersection of IPA coordinates is also an aspect worthy of attention and discussion. This study provides a useful reference for decision-makers and relevant personnel on determining the priority of project management and achieving the optimal allocation of resources to promote the sustainable development of prefabricated buildings.

While the construction industry has brought substantial economic benefits to society, it has also generated substantial construction and demolition waste (CDW). Illegal dumping, which refers to dumping CDW in an unauthorized non-filling location, has become widespread in many countries and regions. Illegally dumping CDW destroys the environment, causing groundwater pollution and forest fires and causing significant economic impacts. However, there is a lack of research on the decision-making behaviours and logical rules of the main participants, construction contractors and the government in the illegal CDW dumping process. This paper constructs an evolutionary game model on a small-world network considering government supervision to portray the decision-making behaviours of illegal dumping participants and conducts a numerical simulation based on empirical equations to propose an effective supervision strategy for the government to manage illegal CDW dumping efficiently. It is found that the illegal dumping behaviours of contractors are mainly affected by the intensity of government supervision, the cost of fines and the income of illegal dumping; while for government, a supervision strategy is found to be necessary, and a supervision intensity of approximately 0.7 is the optimal supervision probability given supervision efficiency. Notably, under a low-level supervision probability, increasing the penalty alone does not curb illegal dumping, and a certain degree of supervision must be maintained. The results show that in addition to setting fines for illegal dumping, the government must enforce a certain level of supervision and purify the market environment to steadily reduce illegal dumping.