CN103077435A - SEC (Securities and Exchange Commission) index evaluation method based on combination weighting comprehensive evaluation model - Google Patents

Abstract

The invention relates to an SEC (Securities and Exchange Commission) index evaluation method based on a combination weighting comprehensive evaluation model according to the characteristics of asset whole life circle management, combining the requirements of a management evaluation main body, comprehensively considering an evaluation index system and index data, on the basis of comparing each kind of evaluation method and aiming at the problem that the index relevant degree in the index system, so that the evaluation on the asset whole life circle safety management, efficiency management, cost management and comprehensive management is realized; after the evaluation method is identified, index data preprocessing, index weighing method selection and evaluation mathematical model construction are carried out according to the index data collected by the index system. The SEC index evaluation method is suitable for evaluating the asset whole life circle management.

Description

A kind of SEC index evaluating method based on the combined weighted comprehensive evaluation model

Technical field

The present invention relates to a kind of SEC index evaluating method based on the combined weighted comprehensive evaluation model, belong to power grid asset life cycle management management assessment analysis technical field.

Background technology

Comprehensive evaluation refers to multi-objective structure system or multiattribute architecture system, makes evaluation of overall importance, globality according to certain method, again according to evaluation of estimate preferentially or the ordering.Comprehensive evaluation involves a wide range of knowledge because influence factor is more, therefore has certain complicacy, is the emphasis of evaluation problem research.Roughly can be divided into two classes to the research of Comprehensive Evaluation Problem at present: a class is the research to assessment indicator system; Another kind of is research to integrated evaluating method.For the research of appraisement system, different field, different evaluation main body, different target are often widely different, so the research of this direction has constructive meaning.

Power supply enterprise assets life cycle management administrative evaluation requires the universality can embodiment of evaluation implemented, can embody specific aim at specific works again, can not affect evaluation according to different evaluation objectives and evaluation requirements adjustment index number.Set up scientific and reasonable index system, estimation flow and assessment models, can Scientific evaluation, the healthy and rapid development of guiding, the management of promotion assets life cycle management, can improve validity, the performance of lifting finance of enterprise investment, reduce security risk, perfect enterprise security strategy decision-making mechanism, optimize the secure resources configuration, integrate security management system and policy, reduce maintenance cost, Cost optimization formation, finally realize the lifting of the matter of enterprise asset management level.

According to the evaluation requirement of estimating main body, at present application is very wide, effect is clear and definite and multiattribute assessment method that relatively be fit to mainly contains weighted comprehensive method, Objective Programming, TOPSIS method, these class methods are described more accurate to evaluation object, can process many decision maker, many indexs, dynamic object, but shortcoming is the object that can't include fuzzy factors; Statistical analysis technique has principal component analysis (PCA), clustering method etc., that these class methods have is comprehensive, the advantage of comparability, objective rationality, but shortcoming be the factor loading symbol alternately so that the function interrogatory really, need a large amount of statisticss, do not reflect objective development level; The systematic approach analytic approach etc. that has levels, this class methods advantage are that reliability is high, error is little, but shortcoming be the factor of evaluation object can not be too many.Layering is more, index quantity is more because this assessment indicator system exists, index is difficult for simplifying, the characteristics that the correlation degree between index differs large, index can quantize, the achievement data accumulation is less.

Do not require on the complexity of weighted comprehensive evaluation assessment to the quantity of index and index system through comprehensively relatively finding, and do not need to carry out the simplification of index system, can can realize by choosing corresponding index according to different evaluation requirements, can solve by linear weighted function and nonlinear weight combination evaluation for the inconsistent problem of index correlation degree in the index system.Therefore in conjunction with the requirement of administrative evaluation main body, the characteristics of assessment indicator system and the characteristics of data, the Selection and Constitute Weight Evaluation Method is realized the evaluation to the safety management of assets life cycle management, potency management, cost management and integrated management.

Summary of the invention

The present invention seeks to, according to the defective of prior art to the various evaluation methods existence of assets life cycle management integrated management, the present invention discloses a kind of SEC index evaluating method based on the combined weighted comprehensive evaluation model.

Technical scheme of the present invention is that the SEC index evaluating method that the present invention is based on the combined weighted comprehensive evaluation model may further comprise the steps:

(1) the SEC index system that is adapted to " five is large " (huge construction program, large construction, large operation, general overhaul, large marketing) system has been set up on the basis that multianalysis assessment indicator system makes up.

(2) make up a combined weighted comprehensive evaluation model that linear weighted function and nonlinear weight are combined in conjunction with assessment indicator system.

(3) have the features such as certain complementarity, external indicator relevance are little according to the characteristics of assets life cycle management Administrative Security, cost and potency management and each aspect internal indicator, utilize and based on the SEC index evaluating method of combined weighted comprehensive evaluation model the situation of assets life-cycle management is estimated.

The combined weighted comprehensive evaluation model that of making up of the present invention combines linear weighted function and nonlinear weight, employing is to the comprehensive assembly of Safety Management Assessment value, potency management evaluation of estimate and life cycle costing administrative evaluation value, and is specific as follows according to the comprehensive evaluation model that different information aggregate measures makes up:

T=f(w _sS,w _eE,w _cC)

Wherein, T is assets life cycle management management condition comprehensive evaluation value, and S is assets security administrative evaluation value, and E is assets potency management evaluation of estimate, and C is assets life cycle costing administrative evaluation value, w _sBe the weight of safety management in the life cycle management management; w _eBe the weight of potency management in the life cycle management management; w _cBe the weight of life cycle costing management in the life cycle management management.

The submodel of described comprehensive evaluation model comprises:

1, Safety Management Assessment model

$S=\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s$

Wherein, T _sLife cycle management number of stages for safety management; w _i ^sIt is the weight in i safety management stage; n _SiIt is the number of i safety management Phase Evaluation index; w _Ij ^sBe under i safety management stage j index in the weight in this stage; x _Ij ^sBe under i safety management stage j index in the desired value in this stage.

2, potency management assessment models

The potency management of life cycle management is mainly examined under huge construction program, large construction, large operation, general overhaul system, and for this reason, the assessment models of setting up potency management is as follows:

$E=\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e$

Wherein, T _eLife cycle management number of stages for safety management; w _i ^eIt is the weight in i safety management stage; n _EiIt is the number of i safety management Phase Evaluation index; w _Ij ^eJ index is in the weight in this stage under i safety management stage; x _Ij ^eBe under i safety management stage j index in the desired value in this stage.

3, cost management assessment models

Examine under the main huge construction program of the potency management of life cycle management, large construction, large operation, the general overhaul system, the assessment models of setting up cost management is as follows:

$C=\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c$

Wherein, T _cLife cycle management number of stages for safety management; w _i ^cIt is the weight in i safety management stage; n _CiIt is the number of i safety management Phase Evaluation index; w _Ij ^cBe under i safety management stage j index in the weight in this stage; x _Ij ^cBe under i safety management stage j index in the desired value in this stage.

4, linear weighted function comprehensive evaluation model

Adopt the thought of linear weighted function that safety management assessed value, potency management assessed value and life cycle costing management assessment value are carried out comprehensively, it is as follows to set up evaluation model:

$T1=w_{s}S+w_{e}E+w_{c}C=w_s\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s+w_e\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e+w_c\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c$

Wherein, w _sBe the weight of safety management in the management of assets life cycle management; w _eThe weight of potency management in the management of assets life cycle management; w _cBe the weight of life cycle costing management in the management of assets life cycle management.

5, nonlinear weight comprehensive evaluation model

Adopt the thought of nonlinear weight that Safety Management Assessment value, potency management evaluation of estimate and life cycle costing administrative evaluation value are carried out comprehensively, it is as follows to set up evaluation model:

$T2=w_{s}S\×w_{e}E\×w_{c}C=w_s{w}_e{w}_c\left(\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s\right)\left(\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e\right)\left(\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c\right)$

T=λ ₁T1+λ ₂T2

Wherein, λ ₁=δ ₁/ (δ ₁+ δ ₂), λ ₂=δ ₂/ (δ ₁+ δ ₂), ${\mathrm{\δ}}_1=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}({T1}_i-\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{T1}_i),$ ${\mathrm{\δ}}_2=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}({T2}_i-\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{T2}_i),$ I is for participating in i scheme of assessment, and n is total scheme.

Particularly, the combined weighted model is as follows:

$T={\mathrm{\λ}}_1(w_s\underset{i=1}{\overset{n_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s+w_e\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e+w_c\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c)$

${+{\mathrm{\λ}}_{2}w}_s{w}_e{w}_c\left(\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s\right){}_{}\left(\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e\right)\left(\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c\right)$

The invention has the beneficial effects as follows, requirement according to " five is large " System Construction, particularly according to the characteristics of complicacy, ambiguity and the level of the evaluation objective of electric power enterprise assets life cycle management administrative evaluation, make up a combined weighted comprehensive evaluation model that linear weighted function and nonlinear weight are combined.Utilize the SEC index evaluating method of this model that the situation of assets life-cycle management is estimated.The inventive method can realize by choosing corresponding index according to different evaluation requirements, can solve by linear weighted function and nonlinear weight combination evaluation for the inconsistent problem of index correlation degree in the index system.

The present invention is applicable to assets life-cycle management and estimates.

Description of drawings

Fig. 1 is structured flowchart of the present invention.

Embodiment

The specific embodiment of the present invention is as follows:

(1) multianalysis the basis that makes up of assessment indicator system.Requirement according to " five is large " System Construction, particularly according to the characteristics of complicacy, ambiguity and the level of the evaluation objective of electric power enterprise assets life cycle management administrative evaluation (multiattribute assessment), the thought that multidimensional and multiple-level time multi-angle is decomposed is proposed, from safety, usefulness, three aspects of cost with evaluation objective resolve into specifically, quantification, can carry out, segmentation index that examination department is clear and definite; Detailed Evaluation operation flow process and evaluation index screening technique and step are proposed.

(2) make up a combined weighted comprehensive evaluation model that linear weighted function and nonlinear weight are combined in conjunction with assessment indicator system.

Linear weighted function comprehensive evaluation model in the combined weighted comprehensive evaluation model is:

$T1=w_{s}S+w_{e}E+w_{c}C=w_s\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s+w_e\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e+w_c\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c$

Wherein, w _sBe the weight of safety management in the management of assets life cycle management; w _eThe weight of potency management in the management of assets life cycle management; w _cBe the weight of life cycle costing management in the management of assets life cycle management;

Nonlinear weight comprehensive evaluation model in the combined weighted comprehensive evaluation model is:

$T2=w_{s}S\×w_{e}E\×w_{c}C=w_s{w}_e{w}_c\left(\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s\right)\left(\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e\right)\left(\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c\right)$

T=λ ₁T1+λ ₂T2

Wherein, λ ₁=δ ₁/ (δ ₁+ δ ₂), λ ₂=δ ₂/ (δ ₁+ δ ₂), ${\mathrm{\δ}}_1=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}({T1}_i-\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{T1}_i),$ ? ${\mathrm{\δ}}_2=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}({T2}_i-\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{T2}_i),$ I is for participating in i scheme of assessment, and n is total scheme.

Described combined weighted comprehensive evaluation model is: $T={\mathrm{\λ}}_1(w_s\underset{i=1}{\overset{n_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s+w_e\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e+w_c\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c)$

${+{\mathrm{\λ}}_{2}w}_s{w}_e{w}_c\left(\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s\right)\left(\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e\right)\left(\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c\right)$

(3) have the features such as certain complementarity, external indicator relevance are little according to the characteristics of assets life cycle management Administrative Security, cost and potency management and each aspect internal indicator, utilize and based on the SEC index evaluating method of combined weighted comprehensive evaluation model the situation of assets life-cycle management is assessed.

Claims (3)

1. the SEC index evaluating method based on the combined weighted comprehensive evaluation model is characterized in that, said method comprising the steps of:

(1) the SEC index system that is adapted to " five is large " system has been set up on the basis that multianalysis assessment indicator system makes up;

(2) make up a combined weighted comprehensive evaluation model that linear weighted function and nonlinear weight are combined in conjunction with assessment indicator system;

(3) have certain complementarity, feature that the external indicator relevance is little according to the characteristics of assets life cycle management Administrative Security, cost and potency management and each aspect internal indicator, utilize and based on the SEC index evaluating method of combined weighted comprehensive evaluation model the situation of assets life-cycle management is estimated.

2. a kind of SEC index evaluating method based on the combined weighted comprehensive evaluation model according to claim 1 is characterized in that described comprehensive evaluation model is: T=f (w _sS, w _eE, w _cC);

Wherein, T is assets life cycle management management condition comprehensive evaluation value; S is assets security administrative evaluation value; E is assets potency management evaluation of estimate; C is assets life cycle costing administrative evaluation value; w _sBe the weight of safety management in the life cycle management management; w _eBe the weight of potency management in the life cycle management management; w _cBe the weight of life cycle costing management in the life cycle management management.

3. a kind of SEC index evaluating method based on the combined weighted comprehensive evaluation model according to claim 1 is characterized in that, described combined weighted comprehensive evaluation model is,

Linear weighted function comprehensive evaluation model in the combined weighted comprehensive evaluation model is:

$T1=w_{s}S+w_{e}E+w_{c}C=w_s\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s+w_e\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e+w_c\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c$

Wherein, w _sBe the weight of safety management in the management of assets life cycle management; w _eThe weight of potency management in the management of assets life cycle management; w _cBe the weight of life cycle costing management in the management of assets life cycle management; T _sLife cycle management number of stages for safety management; w _i ^sIt is the weight in i safety management stage; n _SiIt is the number of i safety management Phase Evaluation index; w _Ij ^sBe under i safety management stage j index in the weight in this stage; x _Ij ^sBe under i safety management stage j index in the desired value in this stage;

Nonlinear weight comprehensive evaluation model in the combined weighted comprehensive evaluation model is:

$T2=w_{s}S\×w_{e}E\×w_{c}C=w_s{w}_e{w}_c\left(\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s\right)\left(\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e\right)\left(\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c\right)$

T=λ ₁T1+λ ₂T2

Wherein, λ ₁=δ ₁/ (δ ₁+ δ ₂), λ ₂=δ ₂/ (δ ₁+ δ ₂), ${\mathrm{\δ}}_1=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}({T1}_i-\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{T1}_i),$ ? ${\mathrm{\δ}}_2=\underset{i=1}{\overset{n}{\mathrm{\Σ}}}({T2}_i-\frac{1}{n}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{T2}_i),$

For participating in i scheme of assessment, n is total scheme;

Described combined weighted comprehensive evaluation model is:

$T={\mathrm{\λ}}_1(w_s\underset{i=1}{\overset{n_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s+w_e\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e+w_c\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c)$

${+{\mathrm{\λ}}_{2}w}_s{w}_e{w}_c\left(\underset{i=1}{\overset{T_s}{\mathrm{\Σ}}}{w}_i^s\underset{j=1}{\overset{n_{\mathrm{si}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^s{x}_{\mathrm{ij}}^s\right)\left(\underset{i=1}{\overset{T_e}{\mathrm{\Σ}}}{w}_i^e\underset{j=1}{\overset{n_{\mathrm{ei}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^e{x}_{\mathrm{ij}}^e\right)\left(\underset{i=1}{\overset{T_c}{\mathrm{\Σ}}}{w}_i^c\underset{j=1}{\overset{n_{\mathrm{ci}}}{\mathrm{\Σ}}}{w}_{\mathrm{ij}}^c{x}_{\mathrm{ij}}^c\right).$

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