CN104408281B - It is a kind of to mix type interactive evolution optimization method for what portable wine pot was designed - Google Patents

It is a kind of to mix type interactive evolution optimization method for what portable wine pot was designed Download PDF

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CN104408281B
CN104408281B CN201410538133.4A CN201410538133A CN104408281B CN 104408281 B CN104408281 B CN 104408281B CN 201410538133 A CN201410538133 A CN 201410538133A CN 104408281 B CN104408281 B CN 104408281B
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design
wine pot
value
adaptive value
uncertainty
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CN104408281A (en
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郭广颂
席俊杰
文振华
刘建伟
刘顺新
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Zhengzhou University of Aeronautics
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Abstract

The invention discloses it is a kind of for portable wine pot design mix type interactive evolution optimization method, it is intended to improve the efficiency of portable wine pot personalized designs, comprise the following steps that:(1) evolve before starting, system provides the user design environment, and initial Advanced group species are generated at random;(2) in interactive process, estimation window is provided the user;(3) analysis of uncertainty is carried out to the individual fitness that user evaluates, two kinds of adaptation Value Types, i.e., single numeric type and interval numeric type is marked off based on adaptive value uncertainty;(4) system sets up corresponding mathematics model for adapting to Value Types, corrects individual fitness, and participate in follow-up evolve.The revised adaptive value of two classes simultaneously participates in evolutionary optimization, expects to generate the design for meeting user psychology demand, reaches effectively optimizing purpose.

Description

It is a kind of to mix type interactive evolution optimization method for what portable wine pot was designed
Technical field
The invention belongs to affection computation field, it is proposed that a kind of interactive evolutionary optimization side designed for portable wine pot Method, the design of wine pot appearance scheme is carried out available for guiding user.
Background technology
Stainless steel wine pot is to be popular in a kind of outdoor consumer goods both domestic and external, it have it is graceful it is exquisite, attractive in appearance it is compact, be easy to The characteristics of carrying with, it is deep to be favored by man.Due to the promotion of the level of consumption, the market demand in portable wine pot gradually increases, Appearance requirement to wine pot is gradually stepped up.Traditional circumference flat type design is gradually personalized design substitution, in order to strengthen market Competitiveness, the appearance design in wine pot proposes challenge to designer.In order to tackle this situation, the present invention thinks evolutionary optimization Want to be incorporated into the appearance design of product, by the optimization ability of genetic algorithm, design is provided for designer's design Inspiration.
At present, based on computer-aided engineering product (art) design system is gradually used, but by means of entering The practical design system of change optimization method is simultaneously few.The target of portable wine pot design is to find out that " most satisfied wine pot outward appearance is set Meter ", because different people has different standards to " satisfied design ", thus evaluation result has very strong uncertainty, and this is The implicit performance indications optimization problem for being adapted to be solved with interactive genetic algorithm of one quasi-representative.
But simple to build design system using legacy interactive genetic algorithm, performance is unsatisfactory.Because interactive optimization Every money product adaptation value (evaluation of estimate) evaluated and produce by people, so adaptive value reflects the subjective preferences of people, and the preference of people It can make adaptive value that there is uncertainty, uncertainty increase, the levels of precision of adaptive value will be reduced, and evolutionary optimization effect will It is deteriorated.Adaptive value levels of precision is improved, it is to make designer be put into more when evaluating individual to reduce probabilistic direct method Many notices, but the fatigue of people so can be undoubtedly caused, evaluating uncertainty can strengthen on the contrary.So improving adaptive value precision It is contradiction each other with the operating burden that reduces people, this is also the problem of interactive genetic algorithm application.
At present, product design is carried out using interactive evolution optimization method, has issued for some strategies.These plans Two types are slightly roughly divided into, one is by setting up rational adaptive value assignment mode, improving man-machine interaction environment, people are reduced Operating burden, improve adaptive value precision.The periodical published such as in March, 2008《Progress in Natural Science》 18th phase " Adaptive Interactive Genetic Algorithms with Interval Fitness of The interval number and fuzzy number adaptive value assignment method that are proposed in the texts of Evolutionary Individuals " one and in dress designing Application in system;Chinese invention patent " interactive evolution optimization method for being used for curtain design " (publication number: CN10263249A, publication date:2011.08.24 many collection gesture fuzzy evaluations, exact value evaluation and the automatic Evaluation) provided.Compare Perfect number and dispersion number, interval number and fuzzy number can preferably reflect evaluation procedure it is uncertain with it is gradual, significantly Improve adaptive value precision.But when carrying out adaptive value assignment operation, interval number will carry out the adaptive value upper limit and lower limit twice Evaluate;Fuzzy number will carry out the determination of central value and width, and this both increases the burden of designer in fact.The second is using conjunction Suitable agent model replaces user to estimate the adaptive value mitigation human fatigue for evolving individual.Represent method such as in October, 2009 of publication Periodical《Control and decision-making》The text of 24th phase " interval adaptive value interactive genetic algorithm neutral net agent model " one is proposed By agent model prediction and evaluation result so as to reduce the method for the evaluation of people;The periodical that in May, 2013 publishes《Control theory with Using》The machine estimation that 30th phase " the new interactive genetic algorithm that individual fitness is estimated based on similarity " text is proposed is suitable Strategy should be worth;Chinese invention patent " the books individuation search method based on interactive evolutionary optimization " (publication number: CN103984721A, publication date:2014.08.13) the user preference searching method that provides.This kind of machine learning techniques are expanded Algorithm search ability, alleviates the operating burden of designer, with great importance.But these agent models are to be dependent on Different adaptive value assignment modes, extracts valuable information and sets up, so the influence of adaptive value assignment mode is still present.More Importantly, above-mentioned all methods are not directed to the natural change law of adaptive value form during evolution, do not embody The numerical value diversity change of adaptive value.
Using interactive evolution optimization method development design system, have for medium-sized and small enterprises before wide market Scape.Through consult pertinent literature, there is not yet at present using with it is a variety of adaptation Value Types simultaneously and depositing into interactive mode heredity The method that algorithm is designed in portable wine pot.If developing the efficient design system of correlation, wine pot product can not only be set Meter brings promotion to be worth, and will also have great inspiration meaning to other product designs.
The content of the invention
The present invention proposes the product generation of portable stainless-steel wine pot, interaction and the Evolutionary Design method of complete set, leads to The design of wine pot outward appearance can be completed by crossing evolutionary optimization.Calculated the method have the characteristics that employing the interactive heredity of improved high-performance Method carries out wine pot appearance design, and specific manifestation is to propose to mix adaptive value in type adaptive value concept, evolutionary process and simultaneously have Two kinds of types of presentation, embody the complicated variety that interactive evolutionary optimization is evaluated.In addition, it is uncertain to give a kind of evaluation Measure, adaptive value expanding policy is proposed based on this, for adaptive value classification provide new reference.With congenic method ratio Compared with design result of the invention substantially takes advantage.
The present invention is divided into two large divisions.Part I is man-machine interactive unit.It is complete using friendly man-machine interactive platform The design information of wine pot design is submitted to system into designer, i.e., determines designer by being given a mark to the evaluation for spilling kettle outward appearance Preference and design direction.Part II is evolution unit.Specifically include:First, evolutionary optimization algorithm is set using wine pot The uncertainty of every money product evaluation of meter is used as adaptive value Type division foundation, it is ensured that it is reasonable that wine pot design evaluatio value is classified Property;Secondly, according to the design behavior of designer, single value type sharp interval number of the system to product Design modelling evaluation of estimate Value Types build corresponding mathematics model respectively, improve the accuracy evaluated;Finally taken not for different types of Design modelling Same individual evolution strategy, completes the Automated Design to wine pot outward appearance.
Advantages and positive effects of the present invention are:
1. effectively reducing the operating burden of designer, designer need to only evaluate a small amount of product style roughly, be System is automatically performed adaptive value amendment on backstage;
2. improve designing quality, the amendment by algorithm to evaluation result, can while the burden of people is not increased, Effective evaluation is carried out to individual;
3. improving design efficiency, polytype evaluation result participates in optimization jointly, more meets the design of designer Behavior, optimization efficiency is higher than single type evaluation result.
Brief description of the drawings
Fig. 1 interactive evolution optimization method overview flow charts proposed by the present invention for wine pot appearance design;
The wine pot appearance design system interface figure that Fig. 2 is developed according to institute's extracting method of the present invention;
The evolutionary generation that Fig. 3 present invention is calculated with the championship that T-IGA roulettes method, IGA-IIF probability are dominant is compared;
The satisfactory solution number for the tournament algorithm that Fig. 4 present invention is dominant with T-IGA roulettes method, IGA-IIF probability is compared;
Embodiment
Present invention implementation is further described below, following examples are descriptive, are not limited, it is impossible to Protection scope of the present invention is limited with this.
It is a kind of based on the portable wine pot design method for mixing type adaptive value interactive genetic algorithm, method flow such as Fig. 1 It is shown, it is as follows the step of this method:
System is initialized when step 1. design starts, that is, sets the evolution of evolutionary optimization on behalf of 0.Designer sets Genetic algorithm parameter, such as intersection, mutation probability.System can be according to wine pot Hu Kou (band pot lid) and the two-part binary system of bottle body Coding, reads in the wine pot structure model of 3ds forms from material database at random, using OpenGL completions are to the textures of model and show Show, obtain a complete wine pot individual (sample).The process is repeated until initial Advanced group species are presented, i.e., 8 wine pots are initial Design sample.Design system interface is as shown in Fig. 2 the slider bar under wherein each sample (individual) is given a mark for designer and evaluated Use, the display numerical value of slider bar is the individual adaptive value, and marking scope is 1-100.
Step 2. user presses personal preference and each wine pot sample design marking is evaluated, and determines the adaptive value of each money product;
Step 3. product sample evaluates the measurement of uncertainty;
The t of portable wine pot evolutionary optimization design is evaluated individual (product sample) for i-th in Advanced group species x (t) It is expressed as xi(t), i=1,2 ..., N, N represent all wine pot Design modelling numbers of samples (population scale), xi(t) adaptive value It is expressed as f (xi(t)), xi(t)∈x(t).The sequence of values that then sample evaluation of estimate in wine pot is constituted is expressed as f (x (t))=(f (x1 (t)), f (x2(t)) ..., f (xN(t)))。
According to dyadic ordering principle, if by f (xi(t) uncertainty) is expressed as θ (xi(t)), then have
In formula, min (f (xi-1(t)), f (xi(t) f (x)) are representedi-1(t)), f (xi(t) smaller value in), max (f (xi-1 (t)), f (xi(t) f (x)) are representedi-1(t)), f (xi(t) higher value in).
(1) meaning of formula is:At portable wine pot style Evolutionary Design initial stage, obscured because people has to the preference of product Property, so the degree of awareness of the sample style presented to system is than relatively low, widely different is evaluated to individual of sample, evaluation it is not true It is qualitative larger, θ (xi(t) it is) also larger.With the continuous evolution of style sample population, wine pot style difference is gradually reduced, and is adapted to Value reaches unanimity, and the uncertainty that designer evaluates accordingly diminishes.
The determination of step 4. sample adaptive value Type division threshold value;
It can be determined to evaluate uncertainty according to (1) formula, then had
(2) meaning of formula is:Designer evaluates uncertainty to the sample in same evolution generation and believed less than individual fitness The maximum difference of breath.I.e. in each generation of evolving is evaluated, designer's design behavior follows dyadic ordering principle, and preference is to adapting to The influence of value is mainly reflected in the evaluation of adjacent wine pot sample.
The evaluation of estimate of sample is divided according to (2) formula:Evaluation initial stage, it is larger that sample evaluates uncertainty, adaptive value Show as interval numeric type;With going deep into for evaluation, cognition of the designer to environment is gradually clear, sample evaluation it is uncertain compared with Small, adaptive value shows as single numeric type.
The interval extension of step 5. adaptive value;
Uncertainty larger situation is evaluated for sample, and the single numerical value that designer evaluates can not reflected appraisal comprehensively Objectivity, now needs to be expanded to the larger interval numerical value of information capacity.Define δ (xi(t)) it is individual single adaptive value f (xi(t) interval adaptive value f ' (x) are extended toi(t) interval radius).Because sample evaluates uncertainty θ (xi(t)) reflect The uncertainty of evaluation, so the present invention is in θ (xi) and δ (x (t)i(t) with functional relation δ=g (θ) mappings between), function is intended Close such as following formula:
K in formula, λ are adjustment factor, can be according to different design environment values.
So, by single evaluation value f (xi(t) interval numerical value) is expanded into, is expressed as follows:
In formula,It is the lower limit of interval numerical value,It is the upper limit of interval numerical value.
Further interval adaptive value is estimated, made
In formula, θ represents the point estimate to designer's satisfaction, and m represents the darkness of point estimation, and m is smaller, estimation Hold bigger.M=0 means to be absolutely sure to satisfaction.
The foundation of the single numeric type adaptive value Grey Markov chain predicting model of step 6.;
When evaluation uncertainty is smaller, adaptive value shows as single numerical value.Now, wine pot design process is deep Enter, wine pot difference in appearance is smaller, designer can produce fatigue.In order to further reduce the not true of designer's subjective assessment It is qualitative, now it is applicable grey model and adaptive value is modeled, and to adaptive value amendment.
6.1. the foundation of grey model
In the present invention, the evaluation of estimate f (x of wine pot samplei(t) original series f) is constituted(0)(xi(t))=(f(0)(x1 (t)), f(0)(x2(t)) ..., f(0)(xN(t))).In each generation of evolving, is interior, the advanced row ash generation sequence of evaluation value sequence of wine pot sample The conversion of row and sequence of average, grey formation sequence is expressed as f(1)(xi(t))=AGOf(0)(xi(t)), sequence of average is represented For F(1)(xi(t))=MEANf(1)(xi(t)), then evolution individual fitness ash Verhulst model GMs (1,1, V) are built it is:
f(0)(xi(t))+aF(1)(xi(t))=b (F(1)(xi(t)))2 (7)
GM (1,1, V) albefaction response type is
In formulaAs wine pot style individual of sample xi+1(t) evaluation of estimate predicted value;A, b are Primary parameter.
GM (1,1, V) secondary parameters bag is expressed as follows:
Formula (10)-(14) are intermediate parameters, and the Primary parameter of grey model GM (1,1, V) can be tried to achieve by these intermediate parameters (a, b).
6.2. individual fitness grey prediction
Because evolution ideal adaptation value sequence is the result of various factors effect under preference environment, it can be rolled by grey model The preference distribution of dynamic inspection predictive designs personnel.The rolling residual epsilon (i+1) of wine pot sample evaluation of estimate is:
According to residual error is rolled, wine pot individual of sample x can be obtainedi(t) adaptive value confidence level pr(xi(t)) it is:
pr(xi(t))=and [100- | ε (i) |] % (18)
6.3. individual fitness amendment
The evolution individual fitness after evaluation is modified by adaptive value confidence level:
f′(xi(t))=pr(xi(t))·f(xi(t)) (19)
In formula:f′(xi(t) it is) the individual x that evolvesi(t) revised adaptive value, revised adaptive value is uncertain will drop It is low, follow-up genetic manipulation is participated in, the deviation of optimum results can be reduced.
Step 7. genetic manipulation is made up of selection, intersection and mutation operation.Interval adaptive value for being extended to interval number, Can be dominant carry out individual choice by interval;, can be by for the revised single numerical value adaptive value by grey model prediction Roulette method carries out individual choice.Two kinds of selection mechanisms exist simultaneously in the present invention, are the outstanding features of the present invention.
After step 8. selection operation, generation population of new generation.If designer expires to the wine pot style sample of new population Meaning, then preserve optimization design scheme, complete design.Otherwise, algorithm jump procedure 2, designer clicks on " next generation " evolution and pressed Button, continues to give a mark to wine pot sample and evaluates.In whole evolutionary process, if designer to current wine pot scheme all the time not It is enough satisfied, wine pot population can be reinitialized, starts new evolution.Designer is before Evolutionary Design terminates each time, statistics The evolutionary generation number of this design, statistical result is as shown in Figure 3;In addition, terminating in each evolution generation marking evaluation Afterwards, count this evaluation is satisfied with number of samples, is satisfied with sample and refers to perfect number adaptive value highest and secondary high wine pot in per generation Individual, statistical result is as shown in Figure 4.
The comparison of the algorithm and current algorithm
The current existing algorithm applied to product design mainly has traditional interactive genetic algorithm (T-IGA) and is based on The interval adaptive value interactive genetic algorithm (IGA-IIF) that probability is dominant.The present invention is from evolutionary generation, satisfactory solution number and takes Algorithm performance is weighed Deng three aspects.
The evolutionary generation statistics of three kinds of methods is as shown in Figure 3.It can be seen that, evolutionary generation of the invention is minimum, and explanation is set The operating burden of meter personnel is minimum.The statistical conditions that algorithm obtains satisfactory solution are as shown in Figure 4, it can be seen that what the present invention was obtained Satisfactory solution number at most, illustrates the optimization quality highest of the present invention.
Can be seen that the present invention with reference to Fig. 3 and Fig. 4 for interior can obtain most satisfactory solution numbers in minimum evolution, This increase algorithm the convergence speed, it is shown that good evolutionary optimization ability.
Finally, the time-consuming situation of statistic algorithm is as shown in the table.Because the evolutionary generation of the present invention is few, so experiment every time It is time-consuming also fewer, contrast other two kinds of algorithms, the time-consuming only legacy interactive genetic algorithm of the present invention it is time-consuming about one Half.Compared with IGA-IIF, operational ton of the present invention is greatly reduced, and can obtain comparison individual to individual evaluation exact numerical enters Row interval assignment evaluates more preferable effect.And time-consuming reduce means to shorten the operating time of people, effectively reduce and set naturally The operating burden of meter personnel.

Claims (2)

1. a kind of evolution optimization method designed for portable wine pot, it is characterized in that:Using the friendship for mixing type individual fitness Mutual formula genetic algorithm is as optimized algorithm, and the optimized algorithm is divided into two parts, and Part I is man-machine interactive unit, utilizes friend Good man-machine interactive platform, extracts the design information that designer submits wine pot design to system, by commenting wine pot outward appearance Valency marking determines the preference and design direction of designer;Part II is evolution unit, first, evolutionary optimization algorithm profit The uncertainty of the every money product evaluation designed with wine pot is as individual fitness Type division foundation, and individual fitness has simultaneously There are interval adaptive value and single adaptive value form:Interval adaptive value is formed by the extension of single adaptive value, and expansion radius is:
In formula, δ (xi(t) it is) interval adaptive value expansion radius, θ (xi(t) uncertainty, K) are evaluated for sample, λ is for regulation Number, can according to different design environment values,
Single adaptive value is characterized in set up Grey Markov chain predicting model:
In formula,As wine pot style individual of sample xi+1(t) adaptive value predicted value;A, b are Primary parameter,
Ensure the reasonability of wine pot design adaptive value classification, secondly, according to the design behavior of designer, system is to product style The single adaptation Value Types of design and the interval Value Types that adapt to build corresponding mathematics model respectively, improve the accuracy evaluated;Most Take different evolution strategies for the ideal adaptation Value Types of different Design modellings afterwards, complete to portable wine pot outward appearance from Dynamic design.
2. the evolution optimization method according to claim 1 designed for portable wine pot, it is characterized in that:The evaluation is not Degree of certainty is
In formula, θ (xi(t)) represent to evaluate uncertainty, min (f (xi-1(t)), f (xi(t) wine pot sample x)) is representedi-1(t) and xi(t) adaptive value f (xi-1(t)), f (xi(t) smaller value in), max (f (xi-1(t)), f (xi(t) f (x)) are representedi-1 (t)), f (xi(t) higher value in).
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