CN109726926A - Machine tool equipment resource supply and demand matching process based on Grey Relation Algorithm under a kind of constraint of multivariate quality - Google Patents
Machine tool equipment resource supply and demand matching process based on Grey Relation Algorithm under a kind of constraint of multivariate quality Download PDFInfo
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Abstract
The present invention discloses the machine tool equipment resource supply and demand matching process based on Grey Relation Algorithm under a kind of constraint of multivariate quality, and fields are intelligent Manufacturing Technology field.The method is characterized in that establishing including technical performance (P), service time (T), service quality (Q), cost of serving (C), service reliability (R), Services-Security (S) and the machine tool equipment cloud service quality requirement model for servicing flexible (F) 7 degree of freedom component, including producing and processing ability, material deliverability, personnel depaly ability, the capabilities of technical support, environment ability to provide the auxiliary items, information support ability 6 DOF machine tool equipment resource cloud service capability model, and quantitative evaluation is carried out to every capacity index;On this basis, the mapping relations between machine tool equipment cloud service demand model-service ability model are established, multivariate quality is proposed and constrains lower machine tool equipment resource supply and demand Matching Model, devise the model solution algorithm based on grey relational grade.The present invention is directed to match problem to the machine tool equipment resource supply and demand with multivariate quality constraint under cloud manufacturing environment, a kind of more practicable preferred solution is provided for the matching of machine tool equipment resource supply and demand.
Description
Technical field
The present invention relates to the machine tool equipment resource supply and demand match parties based on Grey Relation Algorithm under a kind of constraint of multivariate quality
Method belongs to intelligent Manufacturing Technology field.
Technical background
Under cloud manufacturing environment, the supply-demand mode process of machine tool equipment resource is substantially to meet carried cloud manufacture
Under the conditions of offering multiple services quality requirement, the intelligent Matching process of machine tool equipment resource capability.On the one hand, due to such cloud service
Running quality directly affects the responding ability and occupation rate of market of enterprise's production order, and demand enterprise is in cloud manufacturing service platform
When seeking optimal machine tool equipment resource, operation demand more diversification to its service ability, including time, quality, cost, work
Skill technical standard, employee's skilled operation degree, reliability etc.;On the other hand, the machine tool equipment resource capability under multivariate quality constraint
Dimension it is also more complicated, not only include machine tool equipment resource itself working ability (such as machining accuracy, processing quantity
Deng), it further include that technology content (process knowledge, maintenance scheme etc.), personnel depaly (primary skilled worker, senior skilled worker etc.), environment are matched
Cover (energy consumption standard, information network condition etc.) etc., this and the capability model of soft resources and computing resource is manufactured under cloud manufacturing environment
Definition has essential distinction with building.Therefore, cloud service quality requirement model and machine tool equipment resource capability under cloud manufacturing environment
The mapping relations of model are more complicated, and supply and demand intelligent Matching technical difficulty is bigger.The present invention is polynary in analysis cloud manufacturing service
On the basis of quality requirement model and machine tool equipment resource capability model, multivariate quality demand and machine tool equipment resource capability are established
Logical mappings mechanism, propose machine tool equipment Service Source supply-demand mode model, and using grey correlation theory to the model into
Row solves.
Summary of the invention
The purpose of the present invention is by inventing the machine tool equipment money under a kind of constraint of multivariate quality based on Grey Relation Algorithm
It is matched preferably to realize that multimass constrains lower machine tool equipment resource supply and demand for source supply-demand mode method.Present invention seek to address that cloud system
It makes machine tool equipment resource supply and demand under environment and matches problem, provide preferred solution for the matching of machine tool equipment resource supply and demand.
Technical scheme is as follows: the present invention has been initially set up including technical performance (P), service time (T), service
Quality (Q), cost of serving (C), service reliability (R), Services-Security (S) and the lathe dress for servicing flexible (F) 7 degree of freedom component
Standby cloud service quality requirement model, including production and processing ability, material deliverability, personnel depaly ability, the capabilities of technical support,
Environment ability to provide the auxiliary items, information support ability 6 DOF machine tool equipment resource cloud service capability model, and every capacity index is carried out
Quantitative evaluation;On this basis, the mapping established between machine tool equipment cloud service demand model-service ability model is closed
System proposes multivariate quality and constrains lower machine tool equipment resource supply and demand Matching Model, devises the model based on grey relational grade and ask
Resolving Algorithm.
(1) multivariate quality demand model constructs
Collaborative Manufacturing with the popularization and application that cloud manufactures, between local resource and cloud resource and between cloudy resource
Business is increasingly complicated, the QoS requirement that enterprise proposes when seeking optimal machine tool equipment resource also more diversification.This hair
On the Demand Bases such as the bright time (time, T) traditional in reference, quality (quality, Q), cost (cost, C), in conjunction with lathe
The operation characteristic for equipping cloud manufacturing service mode, by technical performance (performance, P), service reliability
(reliability, R), Services-Security (safety, S) and service flexible (flexibility, F) etc. are tieed up as important need
Degree accounts for, and constructs the 7 degree of freedom quality requirement model of cloud manufacturing service.
The 7 degree of freedom such as time T, quality Q, cost C, technical performance P, service reliability R, Services-Security S and service flexibility F
Be not between quality requirement it is independent, there are interrelated relationships.Wherein time T, quality Q, cost C are as cloud manufacturing service matter
Amount demand component is researched and analysed in more inventions by numerous scientific research personnel, is not set forth in detail herein.For
The characteristics of cloud manufacturing service " decentralized resource centralized services ", the present invention is by technical performance P, service reliability R, Services-Security S
It is included in cloud manufacturing service quality requirement consideration dimension with flexibility F etc. is serviced, is specifically described as follows:
Technical performance demand (performance, P), technical performance are machine tool equipment services under facing cloud manufacturing environment
One of key demand, it mainly includes demand enterprise to the processing method of machine tool equipment cloud service, rapidoprint type, processing
The processing performances such as the processing technologys such as size range demand and accurate to dimension, machining shape precision, surface roughness need
It asks, wherein processing technology demand is mostly qualitative description, and processing performance demand is mostly quantitative description.
Service reliability demand (reliability, R), service reliability are to machine tool equipment resource under cloud manufacturing environment
The durability requirements of successful execution service.Machine tool equipment multi-pass in cloud manufacturing service mode crosses the form of composite services to meet
User demand, any machine tool equipment resource exception all will affect the final realization of demand user's cloud service in combination, therefore include
Machine tool equipment service reliability demand including history service success rate, stable rate and service serious forgiveness etc. is that demand is used
One of the emphasis factors that family considers.
The core concept of Services-Security demand (safety, S), cloud manufacture is by internet, Internet of Things, sensor etc.
Technology is virtualized the strange land machine tool equipment resource of dispersion and service, access cloud manufacturing service platform carry out concentrate tube
Control, and all kinds of manufacturing services are provided by network for dispersion user.In both sides of supply and demand cooperative process, technology can be carried out by network
The transmission of the information such as data, technical papers, progress situation, therefore demand user needs to consider the stability and skill of network transmission
The safety of art information.
It services flexible demand (flexibility, F), the machine tool equipment resource service under cloud manufacturing environment has dynamic
Feature, on the one hand, with the change of service processes, the information such as state, operating condition, execution parameter of machine tool equipment resource can be sent out
Raw dynamic change;On the other hand, when the machine tool equipment in Services Composition breaks down or more preferably machine tool equipment resource occurs,
Services Composition progress preferably and constructs again.This is to the knowledge sharing degree after machine tool equipment resource access cloud manufacturing platform, information
More stringent requirements are proposed for the flexible characteristics such as transparency, coordinate responses speed.
(2) machine tool equipment service capability model construction
From production and processing ability, material deliverability, personnel depaly ability, the capabilities of technical support, environment ability to provide the auxiliary items, letter
Breath six dimensions of enabling capabilities construct machine tool equipment service capability model.
1. producing and processing ability X (S)
Production and processing ability refers to that service provider provides the ability of machine tool equipment production and processing based on cloud manufacturing service platform,
X (S)=uxXAcc(S)+vxXRou(S)+wxXCap(S), XAcc(S)、XRou(S) and XCapIt (S) is respectively machine tool equipment resources processing essence
Spend NAcc(S), surface roughness NRou(S), production capacity N is processedCap(S) normalization metric, wherein machining accuracy NAcc(S), table
Surface roughness NRou(S) it is classified using national standard;Process production capacityWherein TiIndicate the sky of machine tool equipment resource
Between idle, wherein TpIndicate the process time of machine tool equipment resource.ux、vxAnd wxRespectively machining accuracy XAcc(S), rough surface
Spend XRou(S), production capacity X is processedCap(S) weighted value meets 0≤ux≤ 1,0≤vx≤ 1,0≤wx≤ 1 and ux+vx+wx=1.
2. material deliverability Y (S)
Material deliverability Y (S) refers to that machine tool equipment cloud service enterprise provides the material ability to provide the auxiliary items of production process cloud service,
Y (S)=uyYTyp(S)+vyYTim(S)+wyYQua(S), wherein YTypIt (S) is the normalization of machine tool equipment resource material supply type
Metric, thenNTyp(Sj) it is machine tool equipment resource SjMaterial supply type quantity,Respectively access the maximum value and minimum of material supply type in all machine tool equipment resources of cloud platform
Value;YTim(S)、YQuaIt (S) is respectively averagely material supply time TSup(Sj), average quality of material qualification rate QMat(Sj) normalizing
Change metric, uy、vyAnd wyRespectively material supply type YTyp(S), material supply time YTim(S), production capacity Y is processedQua(S)
Weighted value meets 0≤uy≤ 1,0≤vy≤ 1,0≤wy≤ 1 and uy+vy+wy=1.
3. personnel depaly ability Z (S)
Personnel depaly ability mainly provides operation skilled worker, quality optimization, after-sale service to supplier during cloud service
The assessment of equal personnel's ability to provide the auxiliary items.If the personnel depaly ability of machine tool equipment resource is Z (S), then It is expressed as machine tool equipment Service Source SjThe normalization metric of matched type i personnel amount, wherein Represent the matched class of all machine tool equipment resources of access cloud platform
The maximum value and minimum value of type i personnel amount, wiFor the matched i type personnel of machine tool equipment resource weight (0≤wi≤1, and), n is the matched personnel's number of types of machine tool equipment resource.
4. capabilities of technical support U (S)
Be mainly used for measure cloud manufacturing environment under machine tool equipment resource in processing technology standard, NC code knowledge, maintenance skill
The full amount of having and sharing degree in terms of the technological know-hows such as art scheme, technical patent, U (Sj)=wuUsat(Sj)+υuUsha(Sj), Usat
(Sj)、Usha(Sj) it is the full amount of the having R of knowledgesat(Sj), sharing degree Rsha(Sj) normalization metric, if machine tool equipment resource SjIt gathers around
Some technical notes sum sum (Sj), machine tool equipment resource SjThe knowledge record number sum' shared by cloud manufacturing service platform
(Sj), then.WhereinRsha(Sj)=sum'(Sj)/sum(Sj), wuAnd vuRespectively skill
The full amount of having and sharing degree weighted value (0≤w that art is supportedu≤ 1,0≤vu≤ 1 and wu+vu=1), m is in cloud manufacturing service platform
The quantity of machine tool equipment resource.
5. environment ability to provide the auxiliary items V (S)
Environment ability to provide the auxiliary items mainly emphasizes ability of the machine tool equipment cloud service in the process with environment harmonious coexistence, including lathe
Process carbon emission amount and workshop operation environment etc. are equipped, vector expression is V (S)=wvVCb(S)+vvVRe(S).Wherein
VCbIt (S) is machine tool equipment resource SjCarbon emission amount N in process of manufacturecb(S) normalization metric;VReIt (S) is workshop
Running environment evaluates score Nre(S) normalization metric, need to be right on the basis of carrying out evaluation modeling to workshop operation environment
Machine tool equipment resource SjLocating workshop operation environment carries out evaluation marking, then does normalized again;wvAnd vvRespectively technology
The full amount of having and sharing degree weighted value supported, meet 0≤wv≤ 1,0≤vv≤ 1 and wv+vv=1.
6. information support ability W (S)
Information support ability W (S) refers to that machine tool equipment discloses ability, W (S)=u to the information of cloud manufacturing service platformwWInt
(S)+uvWNet(S), WInt(S) and WNet(S) be respectively machine tool equipment resource intelligence degree RInt(S), networked operation branch
Support index RNet(S) normalization metric.If machine tool equipment resource SjThe process possessed executes number of parameters N (Sj), lathe dress
Standby resource SjThe execution number of parameters N shared by cloud manufacturing service platformSha(Sj), then RInt(S)=NSha(Sj)/N(Sj), i.e.,
Machine tool equipment resource SjThe execution number of parameters and its process shared by cloud manufacturing service platform execute the ratio of parameter total quantity
Value;Indicate machine tool equipment resource SjThe execution parameter number shared by cloud manufacturing service platform
Amount accounts for the shared ratio for executing parameter total amount of cloud manufacturing service platform, uwAnd vwThe respectively full amount of having and sharing degree of technical support
Weighted value meets 0≤uw≤ 1,0≤vw≤ 1 and uw+vw=1.
(3) " demand-ability " mapping model constructs
On the basis of analyzing cloud service quality requirement model, machine tool equipment resource service capability model, it is empty to explore demand
Between contacting between model and service ability spatial model, building " demand-ability " hyperspace mapping mechanism be towards spy
Determine cloud manufacturing operation and realizes supply and demand accurately matched key.For this purpose, the present invention establishes QoS requirement space-service ability
Space reflection relationship.
(4) MSC based on grey correlation theory matches optimization model method for solving
Optimal selection problem is matched in conjunction with machine tool equipment resource supply and demand, i.e., each machine tool equipment resource service ability needs aimed quality
The close sequence (resource matched preferred sequence) asked, wherein the maximum machine tool equipment resource of the degree of association is exactly to meet certain cloud service
The optimal solution of task service demand.The mathematical description of grey correlation is as follows:
1. determining optimal index sequence
Defining ideal scheme, that is, optimal index sequence vectorIt indicates, and is considered as target sequence, it is to be selected
Resource FRjIndex vectorIt indicates, and is considered as subsequence, whereinIndicate j-th of machine tool equipment resource
I Needs index value,Indicate the optimal value i.e. target value of i-th of Needs index.
2. the standardization processing of index value
Since evaluation index has different dimension and the order of magnitude, can not directly be compared, it can in order to guarantee result
By property, need to carry out standardization processing to original index value.Indicate the maximum value of i-th Needs index,I-th
Needs index minimum value (wherein i=1,2 ..., n;J=1,2 ..., m).Then enableForValue after standardization, is pressed
Formula (1) calculates,ForValue after standardization is calculated by formula (2).
3. calculating correlation coefficient
Define j-th of machine tool equipment resource schemeWithIncidence coefficient beIt is abbreviated as rij, calculate
Formula is as follows:
Wherein
Resolution ratio σ reflection is each factor pair incidence coefficient rijInfluence degree, incidence coefficient rijIt is resolution ratio σ
Monotonic increasing function.WhenWhen, illustrate that comparing sequence has exception, need to weaken the effect of Δ max, σ takes smaller value, by formula
(4a) is calculated;WhenWhen, illustrate to compare sequence more steady, discreteness is smaller, in order to enhance the globality of the degree of association, σ
The larger value is taken, is calculated by formula (4b).
Wherein,
By n × m grey incidence coefficient rij(i=1,2 ..., n;J=1,2 ..., m) constitute multiple objective gray be associated with square
Battle array:
The calculation formula of Synthesis Relational Grade:
K=W × Ω
Wherein K is the synthetic evaluation matrix of m machine tool equipment resource scheme, is 1 × m dimension matrix, and W indicates each evaluation
The weight of index,
W=(w1,w2,…,wn), andSynthesis Relational Grade is bigger, illustrate the machine tool equipment cloud resource scheme with most
Excellent index set is closer, i.e. the cloud service is more excellent, and the order of quality of each scheme thus can successively be discharged.
Detailed description of the invention
To make the objectives, technical solutions, and advantages of the present invention clearer, below in conjunction with attached drawing to the present invention make into
The detailed description of one step:
Fig. 1 shows cloud manufacturing service 7 degree of freedom quality requirement illustraton of model
Fig. 2 shows machine tool equipment resource service capability model figures
Fig. 3 shows QoS requirement space-service ability space mapping relations figure
Specific embodiment
Hereinafter reference will be made to the drawings, and specific embodiments of the present invention will be described in detail.
Fig. 1 is cloud manufacturing service 7 degree of freedom quality requirement model, as shown in Figure 1: time T, quality Q, cost C, technical performance
P, be not between service reliability R, Services-Security S and the service 7 degree of freedom quality requirement such as flexibility F it is independent, there are interrelated
Relationship.Wherein time T, quality Q, cost C are carried out as cloud manufacturing service quality requirement component by numerous scientific research personnel
It researchs and analyses, is not set forth in detail herein.The characteristics of for cloud manufacturing service " decentralized resource centralized services ", the present invention is by technology
Performance P, service reliability R, Services-Security S and service flexibility F etc. are included in cloud manufacturing service quality requirement and consider dimension, specifically
It is described below:
Technical performance demand (performance, P), technical performance are machine tool equipment services under facing cloud manufacturing environment
One of key demand, it mainly includes demand enterprise to the processing method of machine tool equipment cloud service, rapidoprint type, processing
The processing performances such as the processing technologys such as size range demand and accurate to dimension, machining shape precision, surface roughness need
It asks, wherein processing technology demand is mostly qualitative description, and processing performance demand is mostly quantitative description.
Service reliability demand (reliability, R), service reliability are to machine tool equipment resource under cloud manufacturing environment
The durability requirements of successful execution service.Machine tool equipment multi-pass in cloud manufacturing service mode crosses the form of composite services to meet
User demand, any machine tool equipment resource exception all will affect the final realization of demand user's cloud service in combination, therefore include
Machine tool equipment service reliability demand including history service success rate, stable rate and service serious forgiveness etc. is that demand is used
One of the emphasis factors that family considers.
The core concept of Services-Security demand (safety, S), cloud manufacture is by internet, Internet of Things, sensor etc.
Technology is virtualized the strange land machine tool equipment resource of dispersion and service, access cloud manufacturing service platform carry out concentrate tube
Control, and all kinds of manufacturing services are provided by network for dispersion user.In both sides of supply and demand cooperative process, technology can be carried out by network
The transmission of the information such as data, technical papers, progress situation, therefore demand user needs to consider the stability and skill of network transmission
The safety of art information.
It services flexible demand (flexibility, F), the machine tool equipment resource service under cloud manufacturing environment has dynamic
Feature, on the one hand, with the change of service processes, the information such as state, operating condition, execution parameter of machine tool equipment resource can be sent out
Raw dynamic change;On the other hand, when the machine tool equipment in Services Composition breaks down or more preferably machine tool equipment resource occurs,
Services Composition progress preferably and constructs again.This is to the knowledge sharing degree after machine tool equipment resource access cloud manufacturing platform, information
More stringent requirements are proposed for the flexible characteristics such as transparency, coordinate responses speed.
Fig. 2 is machine tool equipment resource service capability model figure.As shown in Figure 2: the present invention is based on previous research, are dividing
It analyses under cloud manufacturing environment on the basis of machine tool equipment ability characteristics, from production and processing ability, material deliverability, personnel depaly energy
Six power, the capabilities of technical support, environment ability to provide the auxiliary items, information support ability dimensions construct machine tool equipment service capability model.
Fig. 3 is QoS requirement space-service ability space mapping relations figure, as shown in Figure 3: in analysis cloud service
On the basis of quality requirement model, machine tool equipment resource service capability model, demand space model and service ability space are explored
Connection between model, the hyperspace mapping mechanism of building " demand-ability " are to realize supply and demand towards particular cloud manufacturing operation
Accurate matched key.For this purpose, the present invention establishes QoS requirement space-service ability space reflection relationship.
If having X tasks in certain moment cloud manufacturing platform, wherein the QoS requirement of a certain sub- processing tasks O* has n
A, then the cloud service quality requirement space may be expressed as:
F(O*)={ fi(O*) | i=1,2 ... .n }
Wherein, F (O*) it is to complete cloud manufacturing operation O*The cloud service quality requirement set proposed;fi(O*) it is that cloud manufactures
Task O*I-th of cloud service quality requirement.
For cloud manufacturing operation O*In i-th of QoS requirement, machine tool equipment resource has m service ability unit and its
Association, then machine tool equipment data ability space usable set indicates are as follows:
Y(fi(O*))={ yj(fi(O*)) | i=1,2 ..., n;J=1,2 ..., m }
Wherein, Y (fi(O*)) it is meet demand fi(O*) capacity unit set;yj(fi(O*)) it is meet demand fi(O*)
J-th of service ability unit.
Therefore, cloud service quality requirement fi(O*) and service ability Y (fi(O*)) mapping relations model may be expressed as:
As meet camshaft holes on engine cylinder head processing tasks O*Cloud service demand F (O*) machine tool equipment ability it is basic
Combination.
For the n item demand of a certain cloud manufacture subtask, corresponding machine tool equipment capabilities map relational model can be indicated
Are as follows:
It, need to be to cloud service quality requirement in order to realize the matching of subsequent machine tool equipment QoS requirement and resource capability
Quantified with the relationship of machine tool equipment resource service ability.The 7 degree of freedom quality requirement model established in conjunction with front and sextuple ability
Model, then degree of association coefficient matrix between demand and ability are as follows:
Then machine tool equipment resource SjService ability can quantization means to the satisfaction of mission requirements are as follows:
Appoint to be converted into finally by the cloud manufacturing service supply-demand mode problem under non-binary constraint for cloud manufacturing service
Business finds machine tool equipment cloud resource and realizes its service ability problem optimal to task cloud service multivariate quality need satisfaction,
It is as follows with optimization model:
According to the above matching optimization preference pattern, it can show that the matching of machine tool equipment resource supply and demand is machine tool equipment resource to clothes
The multi-objective problem for need satisfaction degree of being engaged in.Define Opt(FRm) it is followed successively by one group of m machine tool equipment resource feasible solution
The value of the optimal value of the quality requirements index such as middle T, Q, C, P, R, S and F, indices can be evaluated according to machine tool equipment resource capability
The quantization method and formula (5) provided in model is calculated.
Claims (4)
1. the machine tool equipment resource supply and demand matching process based on Grey Relation Algorithm under a kind of multivariate quality constraint, feature exist
In: it establishes including technical performance (P), service time (T), service quality (Q), cost of serving (C), service reliability (R), clothes
Business safety (S) and the machine tool equipment cloud service quality requirement model for servicing flexible (F) 7 degree of freedom component, including production and processing energy
Power, material deliverability, personnel depaly ability, the capabilities of technical support, environment ability to provide the auxiliary items, information support ability 6 DOF lathe dress
Standby resource cloud service capability model, and quantitative evaluation has been carried out to every capacity index;On this basis, machine tool equipment is established
Mapping relations between cloud service demand model-service ability model propose multivariate quality and constrain lower machine tool equipment resource confession
Matching Model is needed, the model solution algorithm based on grey relational grade is devised.One is provided for the matching of machine tool equipment resource supply and demand
The more practicable preferred solution of kind.
2. the machine tool equipment cloud service quality requirement model as described in right 1, including technical performance (P), service time (T), clothes
Business quality (Q), cost of serving (C), service reliability (R), Services-Security (S) and flexible (F) the 7 degree of freedom component of service.
3. the machine tool equipment resource cloud service capability model as described in right 1, including production and processing ability, material deliverability,
Personnel depaly ability, the capabilities of technical support, environment ability to provide the auxiliary items, information support ability 6 DOF component.
4. the resource matched optimization model method for solving of the machine tool equipment based on grey correlation theory as described in right 1, feature
It is to include following mathematical description:
1. determining optimal index sequence
Defining ideal scheme, that is, optimal index sequence vectorIt indicates, and is considered as target sequence, resource to be selected
FRjIndex vectorIt indicates, and is considered as subsequence, whereinIndicate j-th of machine tool equipment resource i-th
Needs index value,Indicate the optimal value i.e. target value of i-th of Needs index.
2. the standardization processing of index value
Since evaluation index has different dimension and the order of magnitude, can not directly be compared, in order to guarantee the reliability of result,
It needs to carry out standardization processing to original index value.Indicate the maximum value of i-th Needs index,I-th demand
Evaluation index minimum value (wherein i=1,2 ..., n;J=1,2 ..., m).Then enableForValue after standardization, by formula (7)
It calculates,ForValue after standardization is calculated by formula (8).
3. calculating correlation coefficient
Define j-th of machine tool equipment resource schemeWithIncidence coefficient beIt is abbreviated as rij, calculation formula
It is as follows:
Wherein
Resolution ratio σ reflection is each factor pair incidence coefficient rijInfluence degree, incidence coefficient rijIt is the dullness of resolution ratio σ
Increasing function.WhenWhen, illustrate that comparing sequence has exception, need to weaken the effect of Δ max, σ takes smaller value, based on formula (a)
It calculates;WhenWhen, illustrate to compare sequence more steady, discreteness is smaller, and in order to enhance the globality of the degree of association, σ takes larger
Value is calculated by formula (b).
Wherein,
By n × m grey incidence coefficient rij(i=1,2 ..., n;J=1,2 ..., m) constitute multiple objective gray incidence matrix:
The calculation formula of Synthesis Relational Grade:
K=W × Ω
Wherein K is the synthetic evaluation matrix of m machine tool equipment resource scheme, is 1 × m dimension matrix, and W indicates each evaluation index
Weight, W=(w1,w2,…,wn), andSynthesis Relational Grade is bigger, illustrate the machine tool equipment cloud resource scheme with it is optimal
Index set is closer, i.e. the cloud service is more excellent, and the order of quality of each scheme thus can successively be discharged.
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