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Comprehensive Evaluation Method of Urban Dangerous Building Safety Based on Analytic Hierarchy Process
DOI: 10.12677/HJCE.2022.116086, PDF, HTML, XML, 下载: 67  浏览: 111

Abstract: The comprehensive safety evaluation of urban dangerous buildings is an important work to ensure the safety of housing for the national poverty alleviation campaign. The conditions of urban buildings have deteriorated to various degrees due to the long construction year and the influence of natural disasters. However, the time, equipment and labor costs to conduct extensive building safety evaluation with a variety of testing equipment are expensive. This paper proposes the use of the analytic hierarchy process, combined with the relevant national standards, to evaluate the safety conditions of urban dangerous buildings, which can be the basis for building safety management and decision-making.

1. 引言

2. 基于层次分析法的城市危险房屋安全综合评价基本原理

2.1. 层次分析法

2.1.1. 构建评价指标体系，建立层次结构模型

2.1.2. 同一准则层间各元素两两比较，依据其相对重要性构建判断矩阵

Table 1. 1~9 Scale method meaning table

2.1.3. 层次单排序及一致性检验

${w}_{i}=\frac{{M}_{i}}{{\sum }_{i=1}^{n}{M}_{i}}=\frac{\sqrt[n]{{\Pi }_{j=1}^{n}{a}_{ij}}}{{\sum }_{i=1}^{n}{M}_{i}}$ (1)

$CR=\frac{CI}{RI}$ (2)

${\lambda }_{\mathrm{max}}=\underset{i=1}{\overset{n}{\sum }}\frac{{\sum }_{i=1}^{n}{a}_{ij}{w}_{i}}{n{w}_{i}}$ (3)

$RI$ 是判断矩阵的平均随机一致性指标。对于1~10阶判断矩阵， $RI$ 的取值参照下表2所示。

2.1.4. 层次总排序及一致性检验

Table 2. Mean random consistency index

2.1.5. 综合评价

${A}_{危房}={\sum }_{i=1}^{n}\left({a}_{i}\cdot {t}_{i}\right)$ (4)

Table 3. Unsafe building safety assessment risk index

3. 计算实例

Table 4. Urban dangerous building scene index and definitions

Figure 1. Evaluation system of unsafe house safety risk assessment index

$\left\{\begin{array}{ll}{A}_{危房}=100\hfill & {c}_{1}\text{or}{c}_{3}=100\hfill \\ {A}_{危房}={\sum }_{i=1}^{n}\left({c}_{i}\cdot {t}_{i}\right)\hfill & {c}_{1}\text{and}{c}_{3}\ne 100\hfill \end{array}$ (5)

Table 5. Evaluation system of unsafe house safety risk assessment index

Table 6. A-B weight vector calculation and consistency test

Table 7. B1-C weight vector calculation and consistency test

Table 8. B2-C weight vector calculation and consistency test

Table 9. B3-C weight vector calculation and consistency test

Table 10. Weight of each indicator

4. 结论

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