A method for evaluating comprehensive performance of phase change asphalt pavement based on combination weight

Abstract

This invention discloses a method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights. The method includes: acquiring multiple evaluation indicators for assessing the comprehensive performance of phase change asphalt pavement; determining the relative importance weights of each evaluation indicator based on the priority graph method; acquiring experimental or measured data corresponding to each evaluation indicator and determining the information entropy weights of each evaluation indicator based on the entropy method; constructing a subjective-objective weight combination optimization model under the principle of minimum deviation to obtain the combined weights of each evaluation indicator; calculating the comprehensive performance evaluation value of the phase change asphalt pavement based on the combined weights, and ranking and evaluating different schemes or samples. This invention overcomes the bias caused by a single weighting method by integrating subjective perception and objective data information, improving the scientific rigor, stability, and discriminative power of the comprehensive performance evaluation results of phase change asphalt pavement, and providing a reliable basis for the design optimization and engineering application of phase change asphalt materials.

Description

Technical Field

[0001] This invention relates to the field of road engineering, and specifically to a method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights. Background Technology

[0002] Phase change asphalt pavement incorporates phase change materials into asphalt to regulate the pavement temperature field, showing broad application prospects in mitigating high-temperature rutting, suppressing low-temperature cracking, and improving road service performance. However, the performance of phase change asphalt pavement depends not only on traditional mechanical properties but also on various thermophysical parameters such as latent heat utilization efficiency, thermal stability, and thermal conductivity, exhibiting a clear multi-index coupling characteristic in its comprehensive performance.

[0003] Existing performance evaluation methods for phase change asphalt pavements often employ single-index or fixed-weight comprehensive evaluation methods. Index weights are frequently determined based on experience, resulting in strong subjectivity and difficulty in fully reflecting the actual contribution of different indicators to the overall pavement performance. Conversely, weighting methods based solely on objective data may overlook the importance placed on key performance aspects in engineering practice, leading to inconsistencies between evaluation results and engineering understanding. Therefore, a comprehensive performance evaluation method that integrates subjective perception with objective data is urgently needed. Summary of the Invention

[0004] The current evaluation of the comprehensive performance of phase change asphalt pavement is mostly based on personal experience and cannot comprehensively consider different factors. The purpose of this invention is to provide a comprehensive performance evaluation method for phase change asphalt pavement based on combined weights.

[0005] The present invention adopts the following technical solution:

[0006] A comprehensive performance evaluation method for phase change asphalt pavement based on combined weights includes the following steps:

[0007] Step 1: Select several phase change asphalt pavements with different mix proportions or different phase change material types as evaluation objects. Assume there are m phase change asphalt pavement samples in total, and select n evaluation indicators for each sample. Let the test value of the i-th phase change asphalt pavement sample under the j-th evaluation indicator be... Construct the original evaluation data matrix X, as shown in equation (1):

[0008] (1)

[0009] Step 2: Determine the relative importance weights of the evaluation indicators based on the pecking order graph method, including the following steps:

[0010] Step 2.1: Invite several experts with experience in road engineering and asphalt material research to score the importance of each evaluation indicator and calculate the average score of each evaluation indicator.

[0011] Step 2.2: Based on the pairwise comparison results of the average scores of each evaluation indicator, construct the relative importance determination matrix of the evaluation indicators. Where: when indicator i is more important than indicator j, , When the two are of equal importance, .

[0012] Step 2.3: Sum the rows of the relative importance judgment matrix to obtain the priority value of each evaluation index. As in equation (2):

[0013] (2)

[0014] Step 2.4: Normalize the aptitude values ​​of each evaluation index to obtain the relative importance weight vector based on the aptitude graph method. As in equation (3):

[0015] (3)

[0016] Step 3: Determine the information entropy weights of the evaluation indicators based on the entropy method, including the following steps:

[0017] Step 3.1: Perform positive transformation on the original evaluation data matrix, unifying all evaluation indicators into positive indicators where "the larger the indicator value, the better the performance".

[0018] Step 3.2: Normalize the data after forward normalization to obtain the standardized matrix. Its calculation formula is as shown in equation (4):

[0019] (4)

[0020] Step 3.3: Calculate the information entropy value of the j-th evaluation index. As in equation (5):

[0021] , (5)

[0022] Where k is a constant, typically taken as... .

[0023] Step 3.4: Calculate the information difference coefficient of the j-th evaluation index. As in equation (6):

[0024] (6)

[0025] Step 3.5: Normalize the information difference coefficients to obtain the information entropy weight vector based on the entropy method. As shown in equation (7):

[0026] (7)

[0027] Step 4: Obtain the combined weights of each evaluation indicator. The steps include the following:

[0028] Step 4.1: Let the final combined weight vector of the combined weight optimization model of the pecking order graph method and the entropy method be w, as shown in equation (8):

[0029] (8)

[0030] Step 4.2: Based on the principle of minimum deviation, construct a combined weight optimization model so that the comprehensive evaluation result under the combined weight is close to the evaluation results obtained by the pecking order method and the entropy method. Let the evaluation values ​​of the i-th sample under different weighting methods be Equations (9) and (10) respectively:

[0031] (9)

[0032] (10)

[0033] Step 4.3: Combine the evaluation values ​​as shown in equation (11):

[0034] (11)

[0035] Step 4.4: Construct the objective function, as shown in equation (12):

[0036] (12)

[0037] Where λ is the subjective and objective weight adjustment coefficient, and satisfies 0≤λ≤1.

[0038] The constraints are as shown in equation (13):

[0039] , (13)

[0040] Step 4.5: Solve the above optimization model using the Lagrange multiplication method to obtain the combined weights of each evaluation index.

[0041] Step 5: Calculate the comprehensive performance evaluation value of phase change asphalt pavement. Using the combined weight vector obtained in Step 4, calculate the comprehensive performance evaluation value of the i-th phase change asphalt pavement sample. As in equation (14):

[0042] (14)

[0043] The higher the comprehensive performance evaluation value, the better the overall performance of the phase change asphalt pavement scheme.

[0044] Step 6: Sort the comprehensive performance evaluation values ​​of all phase change asphalt pavement samples, and select the best phase change asphalt pavement scheme based on the evaluation value to provide a decision-making basis for the design and engineering application of phase change asphalt materials.

[0045] The present invention has the following beneficial effects:

[0046] The comprehensive performance evaluation method for phase change asphalt pavement based on combined weights of the present invention introduces a combined weight optimization mechanism of the pecking order graph method and the entropy method, which comprehensively considers engineering experience and objective information from experimental data. This effectively avoids the bias caused by a single weighting method, improves the scientificity, stability and discriminativeness of the comprehensive performance evaluation results of phase change asphalt pavement, and provides a reliable comprehensive evaluation method for the design and engineering application of phase change asphalt pavement materials. Detailed Implementation

[0047] To make the technical means, creative features, objectives and effects of this invention easy to understand, the following embodiments will specifically illustrate the technical solution of this invention.

[0048] This embodiment provides a comprehensive performance evaluation method for phase change asphalt pavement based on combined weights, including the following steps:

[0049] Step 1: Select three phase change asphalt mixtures with different amounts of phase change material as evaluation objects, denoted as samples A, B, and C. The evaluation indicators are selected as follows:

[0050]

[0051] Step 2: Measure the various index data of phase change asphalt mixtures with three different phase change material admixtures, and construct the original evaluation data matrix X, corresponding to equation (1):

[0052]

[0053] Step 3: According to equation (4), normalize the original evaluation data matrix to obtain the standardized matrix. The calculation formula is as follows:

[0054] (4)

[0055] The standardized results of the high-temperature stability index are as follows:

[0056]

[0057]

[0058]

[0059] According to equation (5), the information entropy value of the j-th evaluation index is calculated:

[0060] (5)

[0061] Where k takes In this embodiment, m=3.

[0062] By substituting the standardized results of each indicator, the information entropy value of each evaluation indicator is calculated.

[0063] Based on the information entropy value, the information difference coefficient of each evaluation index is calculated using equation (6):

[0064] (6)

[0065] Then, the information difference coefficient is normalized according to equation (7) to obtain the objective weight vector based on the entropy method:

[0066] (7)

[0067]

[0068] The calculation yielded: .

[0069] Step 4: Invite several experts in the field of road engineering to score the importance of each evaluation indicator and calculate the average score. Based on the average score, construct a pairwise comparison judgment matrix for the evaluation indicators, and calculate the priority value of each evaluation indicator according to formula (2) in the instruction manual:

[0070] (2)

[0071]

[0072] The calculation yielded:

[0073] Step 5: Let the final combined weight vector be w, as shown in equation (8).

[0074] (8)

[0075] Based on the principle of minimum deviation, a combined weight optimization model is constructed, and the single evaluation value based on the eurythmic graph method and the entropy method is calculated respectively, as shown in Equation (9) and Equation (10).

[0076] (9)

[0077] (10)

[0078] The combined evaluation value is calculated according to equation (11), and the objective function is constructed as shown in equation (12):

[0079] (12)

[0080] Under the constraints shown in equation (13), the combined weights of each evaluation index are obtained by solving the Lagrange multiplier method.

[0081] , (13)

[0082] In this embodiment, λ=0.5 is selected and substituted into the combined weight optimization model to calculate the result. .

[0083] Step 6: According to equation (14), use the combined weight vector and the standardized matrix to calculate the comprehensive performance evaluation value of each phase change asphalt pavement sample:

[0084] (14)

[0085] Calculate the comprehensive performance evaluation values ​​for samples A, B, and C respectively.

[0086]

[0087] The samples were ranked according to their comprehensive performance evaluation values, and the evaluation results were: B≥A≥C, indicating that the phase change asphalt pavement scheme corresponding to sample B performed best in terms of comprehensive performance.

[0088] The results show that the combined weighted evaluation method based on the priority graph method and the entropy method proposed in this invention can effectively integrate the mechanical and thermophysical properties of phase change asphalt pavement. The evaluation results have good discrimination and engineering rationality, and can provide a scientific basis for the optimal selection of phase change asphalt material schemes and engineering applications.

[0089] The above embodiments are merely exemplary embodiments of the present invention and are not intended to limit the scope of protection of the present invention. For those skilled in the art, the present invention can have various modifications and variations. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention are included within the scope of protection of the present invention.

Claims

1. A comprehensive performance evaluation method for phase change asphalt pavement based on combined weights, characterized in that, Includes the following steps: Step 1: Obtain n evaluation indicators for evaluating the comprehensive performance of phase change asphalt pavement. These indicators include at least high-temperature stability, low-temperature crack resistance, water stability, latent heat utilization efficiency of phase change, thermal stability, and thermal conductivity. The j-th evaluation indicator is designated as follows: n is the total number of evaluation indicators; Step 2: Determine the relative importance weight vector of each evaluation index based on the pecking order graph method. ,in, This represents the relative importance weight of the j-th evaluation indicator; Step 3: Obtain m phase change asphalt pavement sample data corresponding to each evaluation index, and determine the information entropy weight vector of each evaluation index based on the entropy method. ,in, This represents the information entropy weight of the j-th evaluation label; Step 4: Construct a combined weight optimization model that integrates relative importance weights and information entropy weights under the principle of minimum deviation, and solve for the combined weight vector of each evaluation index. ,in, This represents the combined weight of the j-th evaluation index label; Step 5: Calculate the comprehensive performance evaluation value of each phase change asphalt pavement sample based on the combined weight vector; Step 6: Sort the phase change asphalt pavement samples according to the comprehensive performance evaluation values ​​to complete the comprehensive performance evaluation.

2. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 1, characterized in that: Step 2 includes the following steps: Step 2-1: Obtain the scoring data of multiple experts on the importance of each evaluation indicator, and calculate the average score of each evaluation indicator; Step 2-2: Based on the pairwise comparison results of the average scores of each evaluation indicator, construct a relative importance judgment matrix with dimension n×n. Where, when indicator i is more important than indicator j, , When the two are of equal importance, ; Steps 2-3 involve summing the rows of the relative importance judgment matrix to obtain the priority values ​​of each evaluation index, where the priority value of the j-th evaluation index is... The calculation formula is as follows: （2） Steps 2-4 involve normalizing the ranking values ​​to obtain the relative importance weights of each evaluation indicator, where the relative importance weight vector of the j-th evaluation indicator is... The calculation formula is as follows: （3）。 3. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 1, characterized in that: Step 3 includes the following steps: Step 3-1: Construct an original data matrix consisting of m phase change asphalt pavement samples and n evaluation indicators; Step 3-2: Perform positive transformation on the original data matrix, unifying all evaluation indicators into positive indicators where larger values ​​indicate better performance; Step 3-3: Normalize the data after forward processing to obtain a standardized data matrix; Steps 3-4: Calculate the information entropy value of each evaluation index based on the standardized data matrix; Steps 3-5: Calculate the information entropy weight of each evaluation index based on the information entropy value.

4. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 3, characterized in that: In step 3-1, the original data matrix X consists of m phase change asphalt pavement samples and n evaluation indicators. The test value of the i-th phase change asphalt pavement sample under the j-th evaluation indicator is denoted as... The original data matrix X is as follows: （1）。 5. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 4, characterized in that: In step 3-3, the standardized matrix is ​​obtained. The calculation formula is as follows: （4） In steps 3-4, the information entropy value of the j-th evaluation index The calculation formula is as follows: （5） Where k is a constant, In steps 3-5, the information difference coefficient is first calculated, and then the information difference coefficient is normalized to obtain the information entropy weight based on the entropy method. Information difference coefficient of the j-th evaluation index The calculation formula is as follows: （6） Information entropy weight of the j-th evaluation index The calculation formula is as follows: （7）。 6. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 1, characterized in that: In step 4, the combined weight is determined by minimizing the deviation between the combined evaluation value and the single weighted evaluation value.

7. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 6, characterized in that: Step 4 includes the following steps: Step 4-1, let the final combined weight vector of the combined weight optimization model of the pecking order graph method and the entropy method be w, as shown in equation (8): （8） Step 4-2: Based on the principle of minimum deviation, construct a combined weight optimization model so that the comprehensive evaluation result under the combined weight is close to the evaluation results obtained by the pecking order graph method and the entropy method. Let the evaluation values ​​of the i-th sample under different weighting methods be Equations (9) and (10), respectively: （9） （10） Step 4-3, combine the evaluation values ​​as shown in equation (11): （11） Step 4-4, construct the objective function, as shown in equation (12): （12） Where λ is the subjective and objective weight adjustment coefficient, and satisfies 0≤λ≤1. The constraints are as shown in equation (13): ， （13） Steps 4-5: Solve the above optimization model using the Lagrange multiplication method to obtain the combined weights of each evaluation index.

8. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 1, characterized in that: In step 5, the combined weight vector and the standardized evaluation index data are used to calculate the comprehensive performance evaluation value of each phase change asphalt pavement sample, which is used to characterize the overall performance of different phase change asphalt pavement samples. The comprehensive performance evaluation value of the i-th phase change asphalt pavement sample The calculation formula is as follows: （14） The higher the comprehensive performance evaluation value, the better the overall performance of the phase change asphalt pavement scheme.

9. The method for evaluating the comprehensive performance of phase change asphalt pavement based on combined weights as described in claim 1, characterized in that: In step 6, the samples are sorted according to the comprehensive performance evaluation value of each phase change asphalt pavement sample. The larger the comprehensive performance evaluation value, the better the comprehensive performance of the corresponding phase change asphalt pavement scheme.

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