CN108921726A - Energy transformation efficiency evaluation model method for building up based on non-radial DEA - Google Patents
Energy transformation efficiency evaluation model method for building up based on non-radial DEA Download PDFInfo
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- CN108921726A CN108921726A CN201810678336.1A CN201810678336A CN108921726A CN 108921726 A CN108921726 A CN 108921726A CN 201810678336 A CN201810678336 A CN 201810678336A CN 108921726 A CN108921726 A CN 108921726A
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- G—PHYSICS
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- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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- G—PHYSICS
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- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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Abstract
Energy transformation efficiency evaluation model method for building up based on non-radial DEA, including：The positive differentiation with negative sense is carried out to model, building is the nonradial DEA model being oriented to negative sense index；Positive index is added in model, corresponding index weights are increased, forms the two-way nonradial DEA model including positively and negatively index.The present invention correctly highlights positively and negatively influence of the index to efficiency value calculated result by the differentiation being oriented to index, improves the objectivity and reference value of calculated result.The difficulty in computation for reducing DEA model maintains the algorithm applicability of the model.The difficulty in computation that model after improving is reduced by adding weight to positively and negatively index, maintains the intrinsic linear programming feature of DEA model, most of linear programming for solution algorithm is made to stand good nonradial DEA model.The positive differentiation with negative sense is carried out to model index, building is the nonradial DEA model being oriented to negative sense index；Positive index is added in model, corresponding index weights are increased, forms the two-way nonradial DEA model including positively and negatively index.
Description
Technical field
The present invention relates to energy transformation efficiency assessment technique fields, in particular to the energy based on non-radial DEA, which makes the transition, imitates
Rate evaluation model method for building up.
Background technique
In terms of research object, sufficient, reliable, safety, low-carbon energy supply is to guarantee that new and old kinetic energy conversion is smooth
The critical support and important guarantee of completion.Therefore, energy supply should be by the previous fossil based on coal, petroleum, natural gas
Energy supply system is converted into the new energy supply system based on the renewable energy such as wind, light, this is new and old kinetic energy conversion pair
Energy Transformation Development proposes inherently required.In current domestic and international research, for new and old kinetic energy conversion implementation path, ensure
Research in terms of measure is more, on how to carry out energy transition, provide more strong energy support for the conversion of new and old kinetic energy,
And energy transition completeness, transformation efficiency are analyzed and evaluated, research blank is still belonged at present.
In terms of model construction, traditional DEA model (DEA, Data Envelopment Analysis,
DEA identical meter) is used to positive index (index that numerical value is the bigger the better) and negative sense index (the smaller the better index of numerical value)
Processing method is calculated, however influence of the positive index from negative sense index to final efficiency is different, it is this in current DEA model not to be subject to
The calculation method clearly distinguished will reduce the objectivity and science of calculated result.However if distinguished to index,
The difficulty and complexity of calculating may be dramatically increased.Therefore how on the basis of guaranteeing calculated result science and objectivity,
Existing difficulty in computation is kept simultaneously, is current urgent problem to be solved.
Summary of the invention
To overcome problems of the prior art, the energy transition effect based on non-radial DEA that the present invention provides a kind of
Rate evaluation model method for building up.
The technical scheme adopted by the invention to solve the technical problem is that：This kind is made the transition based on the energy of non-radial DEA and is imitated
Rate evaluation model method for building up, including：The positive differentiation with negative sense is carried out to model index, building is guiding with negative sense index
Nonradial DEA model；Positive index is added in model, corresponding index weights are increased, being formed includes positively and negatively referring to
The two-way nonradial DEA model of target.
Further, index system is divided into positve term index, negative sense index and input pointer and output by selecting index
Index simultaneously establishes index system.
Further, index system：
1 index system of table
Further, the building of model：The quantity of DMU is M, wherein each DMU has p positive input pointer x and q negative
To input pointer y, i forward direction output-index z and j negative sense output-index v, if these indexs are：
X=(x1M,…,xpM)
Y=(y1M,…,yqM)
Z=(z1M,…,ziM)
V=(v1M,…,vjM)
Then the target component of nonradial DEA model is：
Constraint condition is：
μm>=0, m=1 ... M (6)
Wherein, ε is the transformation efficiency for needing to solve, and the upper limit of p, q, i, j, m are respectively P, Q, I, J, M, and μ is the ginseng of variable
Number vector.
5, the energy transformation efficiency evaluation model method for building up according to claim 4 based on non-radial DEA, it is special
Sign is that the target component of nonradial DEA model is：
Constraint condition is：
μm>=0, m=1 ... M (12)
ε is to need the transformation efficiency that solves, and the upper limit of p, q, i, j, m are respectively P, Q, I, J, M, μ be variable parameter to
Amount；wp、wq、wi、wjFor index weights.
To sum up, above-mentioned technical proposal of the invention has the beneficial effect that：
First, improve the science and accuracy of DEA the model calculation.There is no lead index with traditional DEA model
To distinguishing, cause positive index and negative sense index on identical, the essence of calculated result that finally solves obtained efficiency value influence
True property decreases.The present invention by the differentiation that is oriented to index, correctly highlight positively and negatively index to efficiency value meter
The influence for calculating result, improves the objectivity and reference value of calculated result.
Second, the difficulty in computation of DEA model is reduced, the algorithm applicability of the model is maintained.By to forward direction
The difficulty in computation that model after improving is reduced with negative sense index addition weight, maintains the intrinsic linear programming of DEA model
Feature makes most of linear programming for solution algorithm stand good nonradial DEA model.
Specific embodiment
Feature and principle of the invention are described in detail below, illustrated embodiment for explaining only the invention, not
It is limited the scope of protection of the present invention with this.
Energy transformation efficiency evaluation model method for building up of this kind based on non-radial DEA, including：
1, selecting index
Transformation efficiency assessment indicator system should be based on the economic indicator of new and old kinetic energy conversion, supplemented by energy transformation efficiency
It helps, highlights the supporting role that new and old kinetic energy is converted in energy transition.According to the general requirement of DEA model, it is also necessary to by index body
System is divided into positve term index, negative sense index and input pointer and output-index, and specific targets system is shown in Table 1.
1 index system of table
2, model construction
If the quantity of DMU (Decision Making Unit, decision package) is M, wherein each DMU has p forward direction defeated
Enter index x and q negative sense input pointer y, i forward direction output-index z and j negative sense output-index v, if these indexs are：
X=(x1M,…,xpM)
Y=(y1M,…,yqM)
Z=(z1M,…,ziM)
V=(v1M,…,vjM)
Then the target component of nonradial DEA model is：
Constraint condition is：
μm>=0, m=1 ... M (6)
Wherein, ε is the transformation efficiency for needing to solve, and the upper limit of p, q, i, j, m are respectively P, Q, I, J, M, and μ is the ginseng of variable
Number vector.
For the calculating effect for reaching nonradial DEA model, it is made to convert the energy Transformation Development under background with new and old kinetic energy
Mutually it is suitable for, above-mentioned DEA model is to be with negative sense index (index value is the smaller the better, and positive index is that index value is the bigger the better)
The nonradial DEA model of guiding solves the objective function of final efficiency value ε with negative sense index as main performance assessment criteria.In the energy
During Transformation Development, positve term index to transformation efficiency influence be also it is of equal importance, therefore should by positive index with
Negative sense index is put on an equal footing, while also to guarantee the non-radial feature of DEA model, thus on the basis of above-mentioned DEA model into
Row improves：
Constraint condition is：
μm>=0, m=1 ... M (12)
By improving, compared with the nonradial DEA model of formula (1)-(6), index power is increased in objective function (7)
Weight wp、wq、wi、wj, calculated by assigning power, both considered whole positve term index and negative sense index, and kept calculated result more objective
It is just, while the advantages of remain traditional nonradial DEA model.The nonradial DEA model of (6) is identical is with formula (1)-,
Improved model is still linear programming model, the characteristic feature with general linear plan model, therefore method for solving
More diversified, which can execute calculating by the methods of non-dominated sorted genetic algorithm, particle swarm algorithm and solve.
First, improve the science and accuracy of DEA the model calculation.There is no lead index with traditional DEA model
To distinguishing, cause positive index and negative sense index on identical, the essence of calculated result that finally solves obtained efficiency value influence
True property decreases.The present invention by the differentiation that is oriented to index, correctly highlight positively and negatively index to efficiency value meter
The influence for calculating result, improves the objectivity and reference value of calculated result.
Second, the difficulty in computation of DEA model is reduced, the algorithm applicability of the model is maintained.By to forward direction
The difficulty in computation that model after improving is reduced with negative sense index addition weight, maintains the intrinsic linear programming of DEA model
Feature makes most of linear programming for solution algorithm stand good nonradial DEA model.
Above-described embodiment is only the description that carries out to the preferred embodiment of the present invention, not to the scope of the present invention into
Row limits, without departing from the spirit of the design of the present invention, relevant technical staff in the field to various modifications of the invention and
It improves, should all expand in protection scope determined by claims of the present invention.
Claims (5)
1. the energy transformation efficiency evaluation model method for building up based on non-radial DEA, which is characterized in that including：To model index
The positive differentiation with negative sense is carried out, building is the nonradial DEA model being oriented to negative sense index；Positive index is added to model
In, increase corresponding index weights, forms the two-way nonradial DEA model including positively and negatively index.
2. the energy transformation efficiency evaluation model method for building up according to claim 1 based on non-radial DEA, feature exist
In index system is divided into positve term index, negative sense index and input pointer and output-index and establishes index by selecting index
System.
3. the energy transformation efficiency evaluation model method for building up according to claim 2 based on non-radial DEA, feature exist
In index system：
1 index system of table
4. the energy transformation efficiency evaluation model method for building up according to claim 1 based on non-radial DEA, feature exist
In the building of model：The quantity of DMU is M, wherein each DMU has p forward direction input pointer x and q negative sense input pointer y, i
A forward direction output-index z and j negative sense output-index v, if these indexs are：
X=(x1M ..., xpM)
Y=(y1M ..., yqM)
Z=(z1M ..., ziM)
V=(v1M ..., vjM)
Then the target component of nonradial DEA model is：
Constraint condition is：
μm>=0, m=1 ... M (6)
Wherein, ε is to need the transformation efficiency that solves, and the upper limit of p, q, i, j, m are respectively P, Q, I, J, M, μ be variable parameter to
Amount.
5. the energy transformation efficiency evaluation model method for building up according to claim 4 based on non-radial DEA, feature exist
In the target component of nonradial DEA model is：
Constraint condition is：
μm>=0, m=1 ... M (12)
ε is the transformation efficiency for needing to solve, and the upper limit of p, q, i, j, m are respectively P, Q, I, J, M, and μ is the parameter vector of variable；wp、
wq、wi、wjFor index weights.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN115471158A (en) * | 2022-10-10 | 2022-12-13 | 上海理工大学 | Logistics distribution center efficiency evaluation method and system based on truck traffic control measures |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN115471158A (en) * | 2022-10-10 | 2022-12-13 | 上海理工大学 | Logistics distribution center efficiency evaluation method and system based on truck traffic control measures |
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