Gini coefficient measurement-based prefabricated floor regularity quantitative evaluation method and system, electronic equipment and storage equipment

Abstract

The invention discloses a Gini coefficient measurement-based prefabricated floor regularity quantitative evaluation method and system, electronic equipment and storage equipment, belongs to the technical field of electrical data processing, and relates to prefabricated building prefabricated floor regularity quantitative evaluation by using building data. The method comprises the following steps: calculating a regularity weight factor of each subunit based on a box dimension; sorting the areas of the subunits from low to high; after sorting, calculating the cumulative weight ratio and the cumulative area ratio of each subunit; constructing a Lorentz curve according to the cumulative weight ratio and the cumulative area ratio, and calculating the curve area corresponding to each subunit and the sum B of all curve areas; and calculating a Gini coefficient G: # imgabs0 #. According to the method, quantitative evaluation can be carried out on the regularity of the prefabricated floor slab more accurately and efficiently.

Description

Technical Field

[0001] The present invention relates to the technical field of electrical data processing, and more particularly to a method, system, electronic device and storage device for quantitatively evaluating the regularity of prefabricated slabs of assembled buildings using building data, and more particularly to a method, system, electronic device and storage device for quantitatively evaluating the regularity of prefabricated assembled slabs based on Gini coefficient measurement. Background Art

[0002] In order to adapt to the functional and process requirements, the overall graphic of the building structure design is composed of sub-units of different shapes, such as rectangles and triangles. In the process of promoting the industrialization of construction, designers need to strengthen the self-similarity of the whole and sub-units when designing the scheme, and improve the efficient reuse of prefabricated assembled floor slabs. At present, there is a lack of regular quantitative evaluation methods, and we can only rely on experience for intuitive judgment, which is difficult to adapt to the high requirements of the modern construction industry for accuracy and efficiency. Summary of the invention

[0003] To address the deficiencies in the prior art, the present invention provides a method, system, electronic device and storage device for quantitatively evaluating the regularity of prefabricated assembled floor slabs based on the Gini coefficient measurement, which can more accurately and efficiently perform quantitative evaluation on the regularity of prefabricated floor slabs.

[0004] In order to achieve the purpose of the present invention, the following scheme is proposed: The Gini coefficient is a statistical indicator used to measure the fairness of income or wealth distribution among residents of a country or region. The value ranges from 0 to 1, where 0 represents perfect equality, that is, everyone has the same income, and 1 represents perfect inequality, that is, one person has all the income and the others have nothing. By quantifying the regularity contribution of the sub-units of the graph, the Gini coefficient of the entire graph can be calculated. The higher the coefficient, the more concentrated the contribution of the sub-units (the proportion of resource allocation), that is, a few sub-units account for most of the regularity contribution.

[0005] This method uses the box dimension in fractal geometry to evaluate the similarity of subunits. The box dimension estimates the dimension by the number of boxes in the covering set. The operation is relatively simple and the calculation is relatively easy. It can reflect the self-similar characteristics and complexity of the floor distribution. In addition, the calculation process of the box dimension is also easy to integrate with the existing computer-aided design (CAD) software, making the design process more efficient and accurate.

[0006] A quantitative evaluation method for regularity of prefabricated assembled floor slabs based on Gini coefficient measurement includes the following steps: 1. Basic data preparation 1) Sub-unit data statistics of precast floor layout plan Name each subunit in the precast floor layout plan and calculate the geometric area of ​​the subunit.

[0007] 2) Box Dimension Grid Preparation Make a grid of squares of two spacing sizes and place the floor plan in the grid.

[0008] 2. Quantitative collection of the box dimensions of the overall prefabricated floor plane.

[0009] 3. Collection of box dimension of subunits.

[0010] 4. Calculate the regularity weight factor of each subunit: Computing subunit i The box dimension of the graph and the overall box dimension of D 0 absolute value of the difference D ix , measure the influence of the sub-unit on regularity and form the regularity influence value, the formula is: in, D i To remove the subunit i The overall box dimension of the graph after ; The calculation formula of the regularity weight factor of the subunit is: .

[0011] 5. Sort the area of ​​each sub-unit from low to high.

[0012] 6. After sorting, calculate the cumulative weight ratio and cumulative area ratio of each sub-unit; construct the Lorenz curve based on the cumulative weight ratio and cumulative area ratio, calculate the curve area corresponding to each sub-unit and the sum of all curve areas B; calculate the Gini coefficient G: .

[0013] The beneficial effects of the present invention are: a quantitative analysis method for the regularity of prefabricated floor slabs based on the Gini coefficient and the box dimension, the method has high test efficiency, and can realize full-range testing of the plane of prefabricated floor slabs. The method can obtain the geometric characteristics of the self-similarity and area of ​​the subunits, accurately evaluate the correlation between the cumulative similarity weights and the cumulative area weights of all subunits, ensure the test accuracy, and provide an effective basis for accurately evaluating the regularity of prefabricated assembled floor slabs. BRIEF DESCRIPTION OF THE DRAWINGS

[0014] Figure 1 The distribution and naming diagram of each subunit in the prefabricated floor plan is shown; Figure 2 The grid diagram showing the precast floor slab planes are placed in a spacing size of 3; Figure 3 It shows the grid diagram of the precast floor slab plane placed at a spacing size of 1.5; Figure 4A diagram showing a grid with a spacing size of 3 with one A subunit removed; Figure 5 A diagram showing a grid with a pitch size of 1.5 with one A subunit removed; Figure 6 Another precast floor layout is shown; Figure 7 A flow chart of a quantitative evaluation method for regularity of prefabricated assembled floor slabs is shown. DETAILED DESCRIPTION

[0015] Example 1 The Gini coefficient was originally used to measure the degree of inequality in income distribution. In this embodiment, it is innovatively used to process the data of floor regularity. The Gini coefficient is used to describe the relationship between the self-similarity of the graphic sub-units and the cumulative area weight. Its value is between 0 and 1. The larger the value, the higher the proportion of sub-units with high self-similarity, and the better the regularity of the prefabricated floor. By calculating the Gini coefficient of the overall graphic, a quantitative evaluation of the overall regularity of the prefabricated floor can be obtained.

[0016] like Figure 7 As shown, this embodiment provides a method for quantitatively evaluating the regularity of prefabricated assembled floor slabs based on Gini coefficient measurement, comprising the following steps: 1. Basic data preparation: 1) Sub-unit data statistics of prefabricated panel layout plan Name each subunit in the prefabricated panel layout plane and calculate the geometric area of ​​the subunit. The result is as follows: Figure 1 , as shown in Table 1.

[0017] Table 1 The names of each subunit and the corresponding geometric area 2) Box Dimension Grid Preparation Make two spacing sizes ( r 1, r 2) and place the floor plan in the grid.

[0018] 2. Quantitative collection of box dimensions of the overall prefabricated floor plan The box dimension of a plane figure is a statistical method used to quantify the complexity of a fractal pattern. It estimates the dimension of a fractal based on the number of boxes required to cover the fractal pattern. The box dimension is calculated as follows: 1) Overlay the image over a range of different sizes ( r ) grid; 2) For each grid size, calculate the number of boxes (i.e. grid cells) required to cover the entire image; 3) Record the number of boxes of each sizeN ( r ); 4) Plot the relationship between the number of boxes and the box size using a double logarithmic coordinate graph (-log( r ),log( N ( r )); 5) Determine the linear relationship between the number of logarithmic boxes and the logarithmic box size through linear regression analysis; 6) The box dimension is the slope of this linear relationship, that is, the slope of the linear regression line. The box dimension D0 is the slope of the best fit line and can be calculated by the following formula: The physical meaning of box dimension is that it provides a way to quantify the complexity of an image or graph. The higher the box dimension, the more complex the structure of the image or graph. The box dimension of a planar graph is usually between 1 and 2.

[0019] The simplified calculation formula for box dimension is: in, N 1. N 2 is the number of boxes covered by the graphics under two different grids. r 1. r 2 is the size of two different grids.

[0020] Calculate the box dimension of the overall figure: Figure 2 As shown, the overall graphic r 1 is 3, measured by N 1 is 138; Figure 3 As shown, the overall graphic r 2 is 1.5, measured by N 2 is 494; Substituting into formula (2), we can get the box dimension of the whole figure D 0=1.8389.

[0021] 3. Collection of box dimensions of subunits If any subunit is removed from the overall figure, the change in the box dimension reflects the self-similarity of the fractal set and the dependence of the overall structure. If the box dimension changes after removing a subunit, it means that the removed part plays a key role in maintaining the self-similarity and complexity of the overall fractal. The more obvious the change in box dimension is, it means that some parts of the fractal set are more important than others, and they are crucial to maintaining the overall fractal characteristics.

[0022] Take unit A as an example. Figure 4 As shown, remove any A unit and recalculate the box dimension according to the method in Section 2. Figure 4 The overall graphicr 1 is 3, measured by N 1 is 138; Figure 5 As shown, the overall graphic r 2 is 1.5, measured by N 2 is 484; Substituting into formula (2), we can get the dimension of the graphic box without one A unit: D A =1.8103.

[0023] By analogy, we can obtain D A , D B ,…, D U .

[0024] 4. Calculate the regularity weight factor of all subunits By calculating the difference between the box dimension of the sub-unit and the box dimension of the overall graphic, the influence of the sub-unit on the regularity is measured and the regularity influence value is formed. The formula is: in, D ix For subunit i and the overall box dimension D 0 absolute value of the difference, D i To remove the subunit i The overall box dimension of the graph after .

[0025] The calculation formula of the regularity weight factor of the subunit is: The results are shown in Table 2.

[0026] Table 2 Box dimension calculation impact factors corresponding to each subunit 5. Sort the area of ​​each subunit from low to high. The results are shown in Table 3.

[0027] Table 3 Similarity factors corresponding to each subunit 6. Calculate the Gini coefficient of the overall figure of the prefabricated floor 1) Construct the Lorentz curve and calculate the curve area corresponding to each subunit; The area of ​​the curve corresponding to each subunit can be approximated by numerical integration methods, for example using the trapezoidal rule: in, PW(i) is the cumulative weight ratio of the subunit and the previous subunit, P A(i) is the cumulative area ratio of the subunit and previous subunits; in, S W(i) is the cumulative weight of the subunit and the previous subunit, S W(n) is the total weight of all sub-units; in, S A(i) is the cumulative area of ​​the subunit and the previous subunit, S A(n) is the total area of ​​all sub-units.

[0028] The results are shown in Table 4.

[0029] Table 4 Curve area table corresponding to each subunit 2) Calculate the approximate solution of the Gini coefficient G The overall graphic Gini coefficient of the prefabricated floor slab in this embodiment is 0.451, the resources are relatively concentrated, and the regularity is good.

[0030] Repeat steps 1 to 6 to obtain the Gini coefficient of any graph, such as Figure 6 The precast floor layout shown has a Gini coefficient of 0.01, which is obviously less regular.

[0031] Example 2 This embodiment provides a prefabricated assembly floor regularity quantitative evaluation system based on Gini coefficient measurement, which is used to implement the method described in Example 1. The system includes a data preparation module, a first calculation module, a sorting module, and a second calculation module.

[0032] The preparation module is used to name each subunit in the prefabricated panel layout plane and calculate the geometric area of ​​the subunit; it is used to make two spacing sizes ( r 1, r 2) a square grid and places the plane figure in the grid; used to calculate the box dimension of the overall figure and the box dimension of the figure without any sub-unit.

[0033] The first calculation module is used to calculate the regularity weight factor of each sub-unit based on the box dimension: by calculating the difference between the box dimension of the sub-unit and the box dimension of the overall graphic, the influence of the sub-unit on the regularity is measured and a regularity influence value is formed. The formula is: in, D ix For subunit i and the overall box dimension D 0 absolute value of the difference, D i To remove the subunit i The final box dimension.

[0034] The calculation formula of the regularity weight factor of the subunit is: .

[0035] The sorting module is used to sort the areas of each sub-unit from low to high.

[0036] The second calculation module is used to calculate the cumulative weight ratio and the cumulative area ratio of each sub-unit; construct a Lorenz curve based on the cumulative weight ratio and the cumulative area ratio, calculate the curve area corresponding to each sub-unit and the sum of all curve areas B; calculate the Gini coefficient G.

[0037] Example 3 This embodiment provides a computer-readable storage medium on which a computer program is stored. When the program is executed by a processor, the method described in Embodiment 1 is implemented.

[0038] Example 4 This embodiment provides an electronic device, including a processor and a memory, wherein the memory stores computer-executable instructions, and when the processor executes the computer-executable instructions stored in the memory, the method described in Embodiment 1 is implemented.

[0039] The above embodiments are only used to illustrate the technical ideas and features of the present invention, and are not intended to be the only or limit the present invention. It should be understood by those skilled in the art that various changes or equivalent substitutions made to the present invention without departing from the scope of the present invention all fall within the scope of protection of the present invention.

Claims

1. A quantitative evaluation method for regularity of prefabricated assembled floor slabs based on Gini coefficient measurement, characterized in that: The following steps are involved: S1, calculating the regularity weight factor of each subunit based on the box dimension; S2, sorting the areas of each subunit from low to high; S3. After sorting, calculate the cumulative weight ratio and cumulative area ratio of each sub-unit; construct the Lorenz curve based on the cumulative weight ratio and cumulative area ratio, calculate the curve area corresponding to each sub-unit and the sum of all curve areas B; calculate the Gini coefficient G: 。 2. The method for quantitatively evaluating regularity of prefabricated assembled floor slabs based on Gini coefficient measurement according to claim 1 is characterized in that: Step S1: Computing subunit i The box dimension of the graph and the overall box dimension of D 0 absolute value of the difference D ix , measure the influence of the sub-unit on regularity and form the regularity influence value, the formula is: in, D i To remove the subunit i The overall box dimension of the graph after ; The calculation formula of the regularity weight factor of the subunit is: Where n is the total number of subunits.

3. The method for quantitatively evaluating regularity of prefabricated assembled floor slabs based on Gini coefficient measurement according to claim 1 is characterized in that: Step S3: The calculation formula for the curve area corresponding to the subunit is: in, P W(i) is the cumulative weight ratio of the subunit and the previous subunit, P A(i) is the cumulative area ratio of the subunit and the previous subunits, P W(i+1) Indicates the 1st to i +1 the cumulative weight of the subunit, P A(i+1) Indicates the 1st to i +1 is the cumulative weight of the area of ​​the subunit; in, S W(i) is the cumulative weight of the subunit and the previous subunit, S W(n) is the total weight of all sub-units; in, S A(i) is the cumulative area of ​​the subunit and the previous subunit, S A(n) is the total area of ​​all sub-units.

4. A quantitative evaluation system for regularity of prefabricated assembled floor slabs based on Gini coefficient measurement, characterized in that: include: A first calculation module: used for calculating the regularity weight factor of each subunit based on the box dimension; Sorting module: used to sort the area of ​​each sub-unit from low to high; The second calculation module is used to calculate the cumulative weight ratio and cumulative area ratio of each sub-unit; construct the Lorenz curve according to the cumulative weight ratio and cumulative area ratio, calculate the curve area corresponding to each sub-unit and the sum of all curve areas B; calculate the Gini coefficient G: 。 5. A computer-readable storage medium, characterized in that: A computer program is stored thereon, and when the program is executed by a processor, the method according to any one of claims 1 to 3 is implemented.

6. An electronic device, characterized in that: The method comprises a processor and a memory, wherein the memory stores computer-executable instructions, and when the processor executes the computer-executable instructions stored in the memory, the method according to any one of claims 1 to 3 is implemented.

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