CN106021724A - Energy efficiency evaluation method of machine tool product manufacturing system based on AHM and entropy method - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及工业机床产品制造系统能耗监测技术领域,具体是一种基于AHM及熵值法的机床产品制造系统的能效评价方法。The invention relates to the technical field of energy consumption monitoring of industrial machine tool product manufacturing systems, in particular to an energy efficiency evaluation method for machine tool product manufacturing systems based on AHM and entropy value methods.
背景技术Background technique
当今制造业作为国民经济的支柱性产业,它在创造出巨大的经济财富同时,也同时消耗了巨大的制造资源,并且对环境造成了非常严重的影响。能源问题已经成为影响社会和经济发展的直观因素,从能源的利用方向出发,节能已经变成了重中之重。在典型的机床制造系统中的基本构成要素可分为生产环境、生产对象、生产设备、操作者四个部分。机床制造系统在生产过程当中消耗的能量可分为直接和间接能量,直接能量就是制造产品所消耗的各种过程能量,间接能量就是为了维持制造车间内的生产环境所需要消耗的能量。Today's manufacturing industry is a pillar industry of the national economy. While creating huge economic wealth, it also consumes huge manufacturing resources and has a very serious impact on the environment. Energy issues have become an intuitive factor affecting social and economic development. Starting from the direction of energy utilization, energy conservation has become a top priority. The basic components in a typical machine tool manufacturing system can be divided into four parts: production environment, production objects, production equipment, and operators. The energy consumed by the machine tool manufacturing system during the production process can be divided into direct and indirect energy. The direct energy is the various process energy consumed by manufacturing products, and the indirect energy is the energy required to maintain the production environment in the manufacturing workshop.
如何加强企业的能效评价,提升制造系统的能量效率已经成为了当务之急。能效评价,就是对企业在整个生产过程当中的能量利用情况进行评价,促进企业改进当前的管理方式和生产工艺,从而更加有效的提高能源的利用效率,达到节约能源的目的。要提升能源的利用效率前提就是要了解系统本身用能的情况,所以研究能效评测的方法,建立起完善的能效评估指标体系是很有现实意义的。How to strengthen the energy efficiency evaluation of enterprises and improve the energy efficiency of manufacturing systems has become a top priority. Energy efficiency evaluation is to evaluate the energy utilization of enterprises in the entire production process, and promote enterprises to improve current management methods and production processes, so as to more effectively improve energy utilization efficiency and achieve the purpose of saving energy. The premise of improving energy utilization efficiency is to understand the energy consumption of the system itself, so it is of great practical significance to study the methods of energy efficiency evaluation and establish a complete energy efficiency evaluation index system.
发明内容Contents of the invention
本发明的目的是提供一种机床产品制造系统的能效评价方法,此方法避免了专家的主管因素影响,又避免了数据不够完全时的影响,能为机床产品的综合评价提供指导和依据。The purpose of the present invention is to provide an energy efficiency evaluation method for machine tool product manufacturing system. This method avoids the influence of experts' competent factors and the influence of incomplete data, and can provide guidance and basis for comprehensive evaluation of machine tool products.
按照本发明提供的技术方案,该方法包括以下步骤:According to the technical scheme provided by the present invention, the method comprises the following steps:
步骤一、建立机床产品制造系统的能效指标评价体系,体系中最底层的指标构成评价因素集;Step 1. Establish the energy efficiency index evaluation system of the machine tool product manufacturing system, and the lowest index in the system constitutes the evaluation factor set;
步骤二、应用AHM(层次分析法)确定指标的主观权重;Step 2, applying AHM (Analytic Hierarchy Process Method) to determine the subjective weight of the index;
步骤三、应用熵值法确定指标的客观权重;Step 3, applying the entropy method to determine the objective weight of the index;
步骤四、评价指标的综合权重的构建;Step 4, the construction of the comprehensive weight of the evaluation index;
步骤五、对制造系统的原始定量进行无量纲化处理;Step five, perform dimensionless processing on the original quantitative of the manufacturing system;
步骤六、根据权重和无量纲化处理的数据进行综合评价,把无量纲化处理后的每项数据和综合权重相乘得到最后的评分。Step 6: Carry out a comprehensive evaluation according to the weight and the dimensionless processed data, and multiply each data after the dimensionless processing by the comprehensive weight to obtain the final score.
具体来说,步骤一中所述评价因素集包括:万元产品能耗,万元增加值能耗,单位产品综合能耗,单位产品节能量,机床设备能效,能源输送效率,能源加工转换效率,生产工艺能效,生产资源调度能效九个指标。Specifically, the set of evaluation factors mentioned in step 1 includes: energy consumption per 10,000 yuan of product, energy consumption per 10,000 yuan of added value, comprehensive energy consumption per unit of product, energy saving per unit of product, energy efficiency of machine tools, energy transmission efficiency, and energy conversion efficiency , energy efficiency of production process, and energy efficiency of production resource scheduling.
步骤二中,为了计算同层间元素的相对重要性,建立起判断矩阵A={aij},式中aij=1/aji’aii=1,其中aij是根据专家知识所得到的重要度参数,aij∈{1,3,5,7,9};In step 2, in order to calculate the relative importance of elements in the same layer, a judgment matrix A={a ij } is established, where a ij =1/a ji' a ii =1, where a ij is obtained based on expert knowledge The importance parameter of a ij ∈ {1, 3, 5, 7, 9};
把A={aij}通过相应的公式转化成测度矩阵Convert A={a ij } into a measure matrix through the corresponding formula
μij表示测度矩阵中的元素,式中k和β为求测度矩阵时所用的参数,k是大于1的正整数,具体根据专家经验所得,取β=1;μ ij represents the elements in the measure matrix, where k and β are the parameters used when seeking the measure matrix, and k is a positive integer greater than 1, specifically according to expert experience, take β=1;
计算单层指标的权重,得到底层指标相对于上层指标的加权子集:W=[W1,W2...W10],Calculate the weight of the single-layer indicators to obtain the weighted subset of the bottom-level indicators relative to the upper-level indicators: W=[W 1 , W 2 ...W 10 ],
计算底层元素之间的组合权重Computes combined weights between underlying elements
wj=wi*wij w j =w i *w ij
式中wj为第j个子目标相对总目标的组合权重,wi为第i个子目标的组合权重,wij为第j个子目标对i个子目标的权重,其中第j个子目标位于第j个子目标的上一层;所述组合权重是用来分析每个指标间的重要性,并不用于后面的计算。In the formula, w j is the combined weight of the j-th sub-goal relative to the total target, w i is the combined weight of the i-th sub-goal, w ij is the weight of the j-th sub-goal to the i-th sub-goal, and the j-th sub-goal is located in the j-th sub-goal The upper layer of the target; the combined weight is used to analyze the importance of each indicator, and is not used for subsequent calculations.
步骤三的方法如下:The method of step three is as follows:
建立层次结构的模型,并且构建原始数据矩阵:Model the hierarchy and build the original data matrix:
X=(Xij)m×n X=(X ij ) m×n
式中,X表示原始评价的矩阵;Xij表示指标值;m表示带评价的方案数;n为评价的指标数;In the formula, X represents the original evaluation matrix; X ij represents the index value; m represents the number of plans with evaluation; n is the number of evaluation indexes;
将各指标进行同度量化,计算第j项指标下面的第i个方案的指标权重:Quantify each index at the same time, and calculate the index weight of the i-th scheme under the j-th index:
其中pij表示第j项指标下面的第i个方案的指标值权重;Where p ij represents the index value weight of the i-th scheme under the j-th index;
计算第j项的指标熵值Calculate the index entropy value of item j
其中,ej表示第j项指的熵值,ej≥0,k>0,k=1/lnm;Among them, e j represents the entropy value of the j item, e j ≥ 0, k>0, k=1/lnm;
计算第j项指标差异性的系数:Calculate the coefficient of the j-th index difference:
gj=1-ej g j =1-e j
其中,gj表示第j项指标差异性的系数,ej表示第j项指标的熵值;Among them, g j represents the coefficient of the j index index difference, and e j represents the entropy value of the j index index;
计算底层的指标对上层准则的相对权重,然后确定各层指标对于总目标的权重:Calculate the relative weight of the underlying indicators to the upper-level criteria, and then determine the weight of each layer's indicators for the overall goal:
其中,wj为各项的指标权重,gj表示第j项指标差异性的系数。Among them, w j is the index weight of each item, and g j represents the coefficient of the index difference of the jth item.
步骤四对利用层次分析法和熵值法分别获得主观、客观两个方面指标的权重值进行综合,从而获得最后的指标权重,最终得到一组评价指标权重Step 4 Synthesize the weight values of the subjective and objective indicators obtained by using the AHP and the entropy method respectively, so as to obtain the final index weights, and finally obtain a set of evaluation index weights
W=θwAi+(1-θ)wBi W=θw Ai +(1-θ)w Bi
式中,wAi为客观权重,wBi表示直观权重,θ的取值情况根据具体情况而定,当决策倾向于专家的经验时,θ∈[0.5,1],当决策倾向于客观的数据时,θ∈[0,0.5];最后通过计算得到最终的指标评价权重。In the formula, w Ai is the objective weight, w Bi represents the intuitive weight, and the value of θ depends on the specific situation. When the decision is inclined to the experience of experts, θ∈[0.5, 1], when the decision is inclined to the objective data , θ∈[0, 0.5]; Finally, the final index evaluation weight is obtained by calculation.
步骤五的方法为:The method of step five is:
设第K项指标的原始数据为则要经过无量纲化的处理,具体见下式,其中处理过后的数据Ci(k)∈(0,1);Suppose the original data of the K-th indicator is Then it needs to go through dimensionless processing, see the following formula for details, where the processed data C i (k)∈(0,1);
式中,i=1,2...n;k=1,2...m;其中,n为可选的方案数量,m为决策指标的数量。In the formula, i=1, 2...n; k=1, 2...m; wherein, n is the number of options available, and m is the number of decision-making indicators.
本发明的优点是:本发明旨在机床产品制造系统的能效评价领域提供一种综合的能效评价方法。本发明由于采用了AHM和熵值法的组合赋权的思想,既可以避免了专家的主管因素影响,又避免了数据不够完全时的影响,使企业在整个生产过程当中的能量利用情况进行评价,从而更加有效的提高能源的利用效率,达到节约能源的目的。The advantage of the present invention is that: the present invention aims at providing a comprehensive energy efficiency evaluation method in the field of energy efficiency evaluation of machine tool product manufacturing systems. Because the present invention adopts the idea of combined weighting of AHM and entropy value method, it can not only avoid the influence of experts’ supervisory factors, but also avoid the influence of incomplete data, so that the energy utilization of enterprises in the whole production process can be evaluated , so as to more effectively improve the efficiency of energy utilization and achieve the purpose of saving energy.
附图说明Description of drawings
图1是本发明能效评价的流程图。Fig. 1 is a flow chart of the energy efficiency evaluation of the present invention.
图2是本发明的综合指标评价体系。Fig. 2 is the comprehensive index evaluation system of the present invention.
具体实施方式detailed description
图1所示为本发明的总体流程图。Figure 1 shows the overall flow chart of the present invention.
(1)建立机床产品制造系统的能效指标评价体系。(1) Establish the energy efficiency index evaluation system of the machine tool product manufacturing system.
机床产品制造系统的评价指标的选取过程中必须要注意评价的全面性、目的性、可行性与稳定性4个原则,评价指标的确定必须要以实际的情况为基础。本发明选取产品能效、经济能效、任务能效和设备能效四个一级指标和九个二级指标建立的评价指标体系,具体如图2所示,其中二级指标包括:万元产品能耗C1,万元增加值能耗C2,单位产品综合能耗C3,单位产品节能量C4,机床设备能效C5,能源输送效率C6,能源加工转换效率C7,生产工艺能效C8,生产资源调度能效C9。In the selection process of the evaluation index of the machine tool product manufacturing system, we must pay attention to the four principles of comprehensiveness, purpose, feasibility and stability of the evaluation, and the determination of the evaluation index must be based on the actual situation. The present invention selects four first-level indicators of product energy efficiency, economic energy efficiency, task energy efficiency, and equipment energy efficiency to establish an evaluation index system, as shown in Figure 2, wherein the second-level indicators include: energy consumption per ten thousand yuan product C1 , energy consumption per 10,000 yuan added value C2, comprehensive energy consumption per unit product C3, energy saving per unit product C4, machine tool equipment energy efficiency C5, energy transmission efficiency C6, energy processing conversion efficiency C7, production process energy efficiency C8, production resource scheduling energy efficiency C9.
(2)确定能效指标评价体系中的评价因素集C。(2) Determine the evaluation factor set C in the energy efficiency index evaluation system.
评价因素的集合为底层的9个指标,即综合评估的因素集为C={C1,C2...C9}。The set of evaluation factors is the bottom 9 indicators, that is, the set of comprehensive evaluation factors is C={C 1 , C 2 ...C 9 }.
(3)应用AHM法确定指标的主观权重。(3) Apply the AHM method to determine the subjective weight of the index.
为了计算同层间元素的相对重要性,建立起判断矩阵A={aij},式中aij=1/aji’aii=1。其中aij是根据专家知识所得到的重要度参数,aij∈{1,3,5,7,9}。In order to calculate the relative importance of elements in the same layer, a judgment matrix A={a ij } is established, where a ij =1/a ji' a ii =1. Where a ij is the importance parameter obtained according to expert knowledge, a ij ∈ {1, 3, 5, 7, 9}.
把A={aij}通过相应的公式转化成测度矩阵Convert A={a ij } into a measure matrix through the corresponding formula
μij表示测度矩阵中的元素,式中k和β为求测度矩阵时所用的参数,k是大于1的正整数,具体根据专家经验所得,这里取β=1。μ ij represents the elements in the measure matrix, where k and β are the parameters used in calculating the measure matrix, and k is a positive integer greater than 1, which is specifically obtained according to expert experience, where β=1 is taken.
计算单层指标的权重,得到底层指标当比较上层指标的加权子集:W=[W1,W2...W10],Calculate the weight of the single-layer index, and get the weighted subset of the bottom index when comparing the upper layer index: W=[W 1 , W 2 ...W 10 ],
计算底层元素之间的组合权重。Computes combined weights between underlying elements.
wj=wi*wij w j =w i *w ij
式中wj为第j个子目标相对总目标的组合权重,wi为第i个子目标的组合权重,wij为第j个子目标对i个子目标的的权重,其中第j个子目标位于第j个子目标的上一层。其中组合权重是用来分析每个指标间的重要性,并不用于后面的计算。In the formula, w j is the combined weight of the j-th sub-goal relative to the total target, w i is the combined weight of the i-th sub-goal, w ij is the weight of the j-th sub-goal to the i-th sub-goal, and the j-th sub-goal is located in the j-th sub-goal The upper layer of a sub-goal. The combined weight is used to analyze the importance of each indicator, and is not used for subsequent calculations.
(4)应用熵值法确定指标的客观权重。(4) Apply the entropy method to determine the objective weight of the index.
建立层次结构的模型,并且构建原始数据矩阵:Model the hierarchy and build the original data matrix:
X=(Xij)m×n X=(X ij ) m×n
式中,X表示原始评价的矩阵;Xij表示指标值;m表示带评价的方案数;n为评价的指标数。In the formula, X represents the original evaluation matrix; X ij represents the index value; m represents the number of programs with evaluation; n is the number of evaluation indexes.
将各指标进行同度量化,计算第j项指标下面的第i个方案的指标权重:Quantify each index at the same time, and calculate the index weight of the i-th scheme under the j-th index:
其中pij表示第j项指标下面的第i个方案的指标值权重。Among them, p ij represents the index value weight of the i-th scheme under the j-th index.
计算第j项的指标熵值Calculate the index entropy value of the jth item
其中,ej表示第j项指的熵值,ej≥0,k>0,k=1/lnm。Wherein, e j represents the entropy value of the jth item, e j ≥ 0, k>0, k=1/lnm.
计算第j项指标差异性的系数:Calculate the coefficient of the j-th index difference:
gj=1-ej g j =1-e j
其中,gj表示第j项指标差异性的系数,ej表示第j项指标的熵值。Among them, g j represents the coefficient of the j-th index difference, and e j represents the entropy value of the j-th index.
计算底层的指标对上层准则的相对权重,然后确定各层指标对于总目标的权重:Calculate the relative weight of the bottom-level indicators to the upper-level criteria, and then determine the weight of each layer's indicators for the overall goal:
其中,wj为各项的指标权重,gj表示第j项指标差异性的系数。Among them, w j is the index weight of each item, and g j represents the coefficient of the index difference of the jth item.
(5)评价指标的综合权重的构建。(5) The construction of the comprehensive weight of the evaluation index.
利用AHM和熵值法分别获得主观、客观两个方面指标的权重值,利用熵值法可以以客观数据为基础,克服了受专家主观因素的影响,但是也容易受到样本数据的影响。利用AHM法,可以很好的利用专家的经验,但是受到人为的影响很大,不能客观的反映样本权重。所以对两种方法进行综合,从而获得最后的指标权重,最终得到一组评价指标权重。Using the AHM and entropy method to obtain the weight values of subjective and objective indicators respectively, the entropy method can be based on objective data and overcome the influence of subjective factors of experts, but it is also easily affected by sample data. Using the AHM method can make good use of the experience of experts, but it is greatly affected by human beings and cannot objectively reflect the weight of the sample. Therefore, the two methods are combined to obtain the final index weights, and finally a set of evaluation index weights is obtained.
W=θwAi+(1-θ)wBi W=θw Ai +(1-θ)w Bi
式中,wAi为客观权重,wBi表示直观权重,θ的取值情况根据具体情况而定,当决策倾向于专家的经验时,θ∈[0.5,1],当决策倾向于客观的数据时,θ∈[0,0.5];最后通过计算得到最终的指标评价权重。In the formula, w Ai is the objective weight, w Bi represents the intuitive weight, and the value of θ depends on the specific situation. When the decision is inclined to the experience of experts, θ∈[0.5, 1], when the decision is inclined to the objective data , θ∈[0, 0.5]; Finally, the final index evaluation weight is obtained by calculation.
(6)对制造系统的原始定量进行无量纲化处理。(6) Dimensionless treatment of the original quantification of the manufacturing system.
对定量的指标来说,各个指标的计量单位、量级不同。还需要对原始数据进行无量纲化的处理,来减少随机因素的干扰。设第K项指标的原始数据为则要经过无量纲化的处理,具体见下式。其中处理过后的数据Ci(k)∈(0,1)。For quantitative indicators, the measurement units and magnitudes of each indicator are different. It is also necessary to perform dimensionless processing on the original data to reduce the interference of random factors. Suppose the original data of the K-th indicator is It needs to go through dimensionless processing, see the following formula for details. The processed data C i (k) ∈ (0, 1).
式中,i=1,2...n,k=1,2...m,其中,n为可选的方案数量,m为决策指标的数量。In the formula, i=1, 2...n, k=1, 2...m, where n is the number of options available, and m is the number of decision-making indicators.
(7)根据权重和无量纲化处理的数据进行综合评价。(7) Carry out comprehensive evaluation according to weight and dimensionless processed data.
把无量化的处理后的每项的数据和综合权重相乘则得到最后的评分。The final score is obtained by multiplying the unquantified processed data of each item with the comprehensive weight.
下面结合实施例对本发明做进一步详细阐述。The present invention will be described in further detail below in conjunction with the examples.
选取甲乙两家机床制造业当作评价对象进行评估,各指标数据见下表。Two machine tool manufacturing industries, A and B, are selected as the evaluation objects for evaluation, and the data of each index are shown in the table below.
计算基于AHM的权重:Compute weights based on AHM:
单层指标权重:Single-layer index weight:
w=[0.251 0.263 0244 0.242]w=[0.251 0.263 0244 0.242]
w1=[0.6 0.4]w2=[0.440 0.56]w3=[0.491 0.302 0.207]w4=[0.392 0.608]w 1 =[0.6 0.4]w 2 =[0.440 0.56]w 3 =[0.491 0.302 0.207]w 4 =[0.392 0.608]
组合权重:Combination weight:
计算基于熵值法的权重:Compute entropy-based weights:
原始矩阵为:The original matrix is:
同度量化的矩阵为:The same quantized matrix is:
计算后的熵值为:The calculated entropy value is:
ej=[0.989 0.981 0.999 0.931 0.989 0.993 0.998 0.961 1]e j =[0.989 0.981 0.999 0.931 0.989 0.993 0.998 0.961 1]
计算后的差异性系数为:The calculated variance coefficient is:
gj=[0.011 0.019 0.001 0.069 0.011 0.007 0.002 0.039 0.000]g j =[0.011 0.019 0.001 0.069 0.011 0.007 0.002 0.039 0.000]
总目标的权重为:The weight of the overall goal is:
wj=[0.069 0.119 0.006 0.434 0.069 0.045 0.012 0.246 0.000]w j =[0.069 0.119 0.006 0.434 0.069 0.045 0.012 0.246 0.000]
计算综合权重:Calculate the composite weight:
通过AHM和熵值法分别获得主观权重评价指标和客观权重评价指标,计算综合权重,根据公式w=θwAi+(1-θ)wBi,取θ=0.62,结果偏向于客观权重,综合权重为The subjective weight evaluation index and the objective weight evaluation index are respectively obtained by AHM and entropy method, and the comprehensive weight is calculated. According to the formula w=θw Ai +(1-θ)w Bi , θ=0.62, the result is biased towards the objective weight, and the comprehensive weight for
w=[0.091 0.115 0.050 0.318 0.080 0.070 0.024 0.193 0.059]w=[0.091 0.115 0.050 0.318 0.080 0.070 0.024 0.193 0.059]
对甲机床厂的各项数据进行无量纲化处理:Dimensionless processing of various data of A machine tool factory:
c=[0.36 0.13 0.77 0.85 0.5 0.75 0.5 0.25 1]c=[0.36 0.13 0.77 0.85 0.5 0.75 0.5 0.25 1]
对乙机床厂的各项数据进行无量纲化处理:Dimensionless processing of various data of B machine tool factory:
c=[0.58 0.64 0.62 0.036 1 0.24 0.9 1 0.5]c=[0.58 0.64 0.62 0.036 1 0.24 0.9 1 0.5]
最后根据无量化的处理后的每项的数据和综合权重相乘则得到最后的评分:Finally, the final score is obtained by multiplying the data of each item processed without quantification and the comprehensive weight:
根据计算可得,甲机床厂的能效为0.56826,乙机床长的能效为0.5097。According to the calculation, the energy efficiency of A machine tool factory is 0.56826, and the energy efficiency of B machine tool manager is 0.5097.
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