Modeling yak method of vivchennya innovation processes. "Method for the clear model of innovative social processes" і.є. Moskal. The introduction of a dissertation on pedagogy, on the topic "Theoretical foundations of the model of innovative education

The head of the stable development of the Russian economy, due to the wide variety of technologies based on the current technologies, dictates the need for active development of innovative development Yak naslіdok in yakostі prіoritetnogo vstaє problem planuvannya іnnovatsіynoї dіyalnostі that upravlіnnya her, and in usіy svoїy povnotі: Won perestaє Buti lishe stvorennya problems such ekonomіchnih mehanіzmіv, SSMSC stimulyuvali b zdіysnennya іnnovatsіynoї dіyalnostі, zabezpechuvali Visokiy rіven do updates, spriyali dosyagnennyu vіdchutnih ekonomіchnih efektіv. In a significantly larger world, the development of goals and objectives is being transformed into the problem of goals and objectives, the development of strategy, so as to meet the needs of economic development in the future. Rіshennya nastіlki masshtabnoї zavdannya vimagaє critical complex analіzu that critical pereosmislennya preformed pіdhodіv, stvorennya tsіlіsnoї kontseptsії іnnovatsіynogo analіzu, formuvannya adequacy metodіv doslіdzhennya Distressed situatsіy i of acceptance optimally upravlіnskih rіshen, rozrobki vіdpovіdnogo іnstrumentarіyu scho zooms vibіr those i basically napryamkіv doslіdzhennya.

The topic of the previous transmission of two great problems, the persistence of the processes of economic development in the process of taking into account and analyzing the facts, of the role of innovation There is another problem, which is without the middle, to the first, albeit wider, wider and more foldable. The essence tsієї problemi polyagaє in fact dwellers virobiti metodologіyu for Relief yakoї mozhna Bulo b rozglyadati іnnovatsіynu dіyalnіst not yak sukupnіst rozrіznenih elementіv, aktіv i protsesіv and yak tsіlіsnu system scho vzaєmodіyut components yakoї samі pokazuyut, naskіlki dotsіlno tse VZAYEMODIYA i naskіlki efektivnosti vono zdіysnyuєtsya, and to develop a methodology by using analytical methods.

It is the dominant factor and the main tool for the economic development of innovation and performance has long become a matter of respect and self-improvement. There is a great number of theoretical results, supported by practice, and from the inside of L. Valdaysev, A.D. Viktorov, V.P. Vorobiyov, S.I. Golosovskiy, G.M. DobroB, A.V. Zavgorodnya, P.N. Zavlin, V.S. Kabakov, A.K, Kazantsev, A.G. Kruglikov, G A.Lakhtin, L.E.Mindeli, AIMuravyev, AN-Petrov, V.V. Platonov, V.A.Pokrovekiy, K.F.Puzinya, A.A.Rumyantsev, D, V. Sokolov, A.B.Titov, Y. Vyakovets, R. Ackoff, I. Ansoff, EQueid, J Martino, E. Mensfield, M. Porter, E Rogers, B Santo, B. Twiss, J. Forrester, R. Foster, W. Hartman, K. Holt, J. Schumpeter, R. Eyre і ін. Pong visunuli i obgruntuvali yak pridbalo conceptual Statute about those scho іnnovatsії in suchasnіy ekonomіtsі stanovlyat basis konkurentospromozhnostі fіrm, Galuzo, kraїn, dozvolyayuchi vigravati Borotba for Rink Shlyakhov osvoєnnya novі x bіlsh privablivih for spozhivachіv produktіv abo bіlsh ekonomіchnih i efektivnosti tehnologіy їh virobnitstva, brought, the very innovation itself is the result of the end of scientific research and development in which it is necessary to start the out-of-the-box scientific and technical progress. Bagatorial advice of the country with rosvinny rinkovyh vidnosinnyh proves the fairness of these conditions, showing the power of innovative methods of the government, which makes it possible in the economy to increase the efficiency of the efficiency of the effective defense

One hour, the statement is made of such a fact: they do not care about those who are in a situation where there is a lot of opportunity for realizing innovative activity, in the Russian economy, there are very few government-sponsored, Ninіshnіy camp ref bagato in chomu obumovleno threading mill rosіyskoї Economy, scho harakterizuєtsya іnvestitsіynim crisis, degradatsієyu NAUKOVO-tehnіchnogo i visnazhennyam personnel potentsіalіv scho spawned іnnovatsіyny crisis, showed yakogo Je nizka іnnovatsіyna aktivnіst vіtchiznyanih of companies Bagato in Tsikh podіyah Bulo zumovleno Mali Location prorahunkami in viroblennі scientific and technical policy and pomos in the "technology" and implementation, the specificity of innovation in the directive economy.

In the planned state, the main factor in the development of the state and the community is injected; the role of the regulator of innovation activity in the field of the mechanism of the mobile-primus type, of the state of science organizing until the release of the state of affairs, and of the state of the enterprise - before the introduction of new methods. The ten-year-old mechanism of "procuring" innovation has given the state bodies an insight into the scientific and technical sphere, and scientific organizations have forgotten to provide information and guaranteed financial support. And until quietly, the mechanism stopped functioning successfully within the framework of the current political and economic system, which was progressing in the scientific and technological progress and continuous innovation activity of enterprises.

The messages in the 90s of the rock of the re-creation called for the ruin of the administrative-command system and the organization of the innovative activity, as it seemed to be insane with the new minds of the sovereign, and new system, Adequate for new minds, so it was not fired. Well before sklalosya for Rocky totalіtarnogo rozvitku sub'єktivne znevaga to dії ekonomіchnih zakonіv in znachnіy mіrі pozbavilo analіtichnі obgruntuvannya priynyatih rіshen i fіnansovі rozrahunki nalezhnoї їm pokaznostі, prizvelo before scho in suspіlstvі sklalasya іlyuzіya cheapness NAUKOVO rezultatіv i povnoї State kerovanostі їh vprovadzhennyam. The monopoly camp of a large number of goods and business owners and the visibility of competition also did not take the form of the natural receptiveness of the state-endowed sub'єkts to innovations. Radical, but not in advance of the last reforms, have made crises in the Russian economy, for which there has been a dramatic decline in public relations, the ruin of government relations, and the development of a lower level of investment.

The standard of innovation is a symptomatic indicator that characterizes the state of the suspension in the whole economy. Glib, I will procrastinate the economic crisis of the innovative sphere of sponuyuє analysis of the cause of the phenomenon and the shukati way of the weakening. For our donations, pererakhovanі vishche, traditionally arguements are induced - there is only one aspect, which is the reason for the low innovation activity of enterprises. Not lessening the significant reason for such a stand is the lack of scientific and methodical development of managerial decisions, due to the inadequacy of systemic statements about economics, functional development, development, and innovation. Development, flexibility and developmental responsibility to face the economy of problems of effective development in , technical, technological and organization thoroughly, which is summed up by the very nature and the camp of the modern production ".

The position of the system analysis of the skin economic system is a foldable combination of various components: material, resource, personnel, information, infrastructure, and the function, development - interlacing of processes, exploitation At the same time, all the processes are re-insured on the basis of a dynamic, permanently miniscule new middle age and the result of mutual fashion and development. The fundamental mental life of whether it is a folding system є imbalance is not enough in the same way, if the skin component of the loan seems to be “necessary”, to know the camp in the most possible world of functional efficiency. Pererakhovanі furnishings іstotuly accelerate all without blame the aspect of management of economical systems and to hamper practically unpromising acceptance of solutions, direct on їх "elementary" thoroughly. Methods for optimizing solutions in planning and managing development economical systems it is necessary to blame for the structural folding of the systems, the interconnection and exchange of these components; In the first place, the efficiency of the solutions, knitted with perfection and development of the elements, will inevitably appear lower for the ochikuvan through lack of preparation before the implementation of these solutions of the other components.

Іnsha grupa NAUKOVO-methodically nedolіkіv planuvannya іnnovatsіy, takozh bezposeredno pov'yazana of nedoskonalіstyu systemic uyavlen, polyagaє in fact, scho in the problem upravlіnnya іnnovatsіynoyu dіyalnіstyu The main uwagi traditsіyno kontsentruєtsya on її "sogohvilinnih" efekt i bezposeredno pov'yazuєtsya tіlki Zi zbіlshennyam pributku bezposeredno for the development of "market novelty goods" or more economical technologies. However, the economic value of innovation is rich in aspect and does not need to be raised until the arrival of the country grows up, the vitrate is reduced and the scale of business is expanded. Moreover, declaring the growth of the flow of traffic as a single method of innovation can easily sound a range of possible direct and pathways in the development of the economic system.

There are a lot of problems in the management of innovative performance and also in the case of a lack of respect for the time-consuming aspects of the function of economic systems, if the dynamic components of the processes of development of the system are not in the proper world. There is no information about the function of the economic system, the most promising development and dynamic characteristics of this development can be taken into account from the victories of the kind of mathematical tools, the first method for all modern

The list of the formulated problems was assigned to the dissertation of the robot;

The subject of dissertational education is about theoretical, methodological, methodological and practical problems and optimization of the process of management of innovative performance on the basis of a systematic approach to the process of economics and mathematics.

Yak ob'єkt to continue to develop economic systems (which is important for enterprises), which are useful in planning and building innovation in order to achieve the goals of sustainable economic development

The formulation of meti, the definition of the subject and the object until it is possible to concretize the named problems of the development of innovative activity before the offensive turn of the visually quieter and appear in the dissertation of the main establishments:

The systematization and publicity of the position, the role of innovative activity in the European economy of the new economic systems should be included:

Analyze the flow mill and the dynamics of innovative processes in the Russian economy, determine the main trends;

Precepts of foreign laws of the development of innovation and development of innovation processes;

Establish the methodological principle of modeling innovative processes, including the vibrating critically important aspects of the model, set up a new model apparatus;

To encourage economic and mathematical models of innovative performance, and generally to adequately represent the basic laws;

Approach the methodological approach to the classification, ordering and ranking of innovations on the basis of the previous powers of their models;

Development of methods of analytical preparation of solutions from the management of innovation performance;

Inspire the models of portfolio analysis of innovative performance, to guide your completed positioning of the portfolio of innovations in a large-scale space, described by the axes of efficiency, variability, and the best assessment of the part of the picture;

Formulate and ground the principle of a dynamic approach to the analysis and implementation of optimal management solutions.

Theoreticity i metodologіchnoyu Basics virіshennya visunutih zavdan were the result of fundamental i Applied doslіdzhen in the Branch upravlіnnya sotsіalno ekonomіchnimi-i systems Process їh rozvitku, motivatsії ekonomіchnoї povedіnki gospodaryuyuchih sub'єktіv, osnovnі PROVISIONS system analіzu that teorії dinamіchnih systems teorіya funktsіy i funktsіonalny analіz, metodologіya ically mathematical model of economic processes: dominant analysis of Pareto, theory of viral functions, theory of igor, method of practical test of results of model. For his staging and implementation, the Viconane has a theoretical, scientifically long character. The scientific novelty of the new results in the form of

It is broken up and implemented by the concept of carrying out analytical studies to the potential of innovations in the development of economic systems in the early stages of structural architecture; the sphere of innovation activity is presented on the scale of the suspension and brought up to the level of individual individuals;

It is revealed by the regularity of discrete-without interruption in the development of innovative processes; bringing and realizing the possibilities of storing the mathematical theory of catastrophes for the modeling of innovative processes on the basis of the development of new processes, developing and basic innovations;

A systematic scientific-methodological approach has been formed to model the dynamics of innovation processes on the basis of narrow-mindedness and economic efficiency of an economic agent and innovation; the methodology for the improvement of potentialities by means of aggregation of logical, yakisny and kilkisnyh methods has been broken down; the introduction of the lexicographic order in the absence of innovation;

Unified terminology and understandable apparatus of a formalized, generic description of an economic agent as a sub-unit of innovative activity; The designation of the main operational aspects of the model of the mechanism of health innovation and the function of the economic agent, which includes the identification model and the model of the situation;

An analytical model of innovation in the form of a differential rivnyannya, which depicts the cumulative nature of innovation processes, is stimulated; on the basis of the analysis of the model and the powers of the decision (logistic curves), the methods and the refinement of the assessment of the time reserves in the competitiveness of innovations, so that they can be improved in parallel and after the last progress;

The methodology has been broken down to induce cardinal assessments of parameters in innovation: efficiency complex characteristics Realization of the potential for innovation from the establishment of methods for the structure of the goals of an economic agent and technology Analysis of the middle of the function, the characteristics of innovation projects and risk;

Introduced the introduction of clean domination on unlawful innovation projects, in the understanding of the change in domination when formulating a portfolio of innovations and domination of the innovation in the process of taking into account the unavailability of the deterioration factor; a graphical interpretation of the introduction of the principles of optimality is presented;

Theoretical-game ideas are proponated before the formation of a portfolio of innovative projects; breakdown of the methodical principle of its implementation, rotation in the recommendations and analytical formulas for determining the optimal sizes and structural proportions of the portfolio;

An understanding of the dynamic efficiency of innovative projects and the breakdown of methods of assessment has been established; the technology of analysis of the middle of the function is adjusted to the dynamic situation with the factors of the hour;

Signs are optimal ™ by Pareto of transformations before analysis of trajectory development; vibrating the principle of optimality of dynamic development on the basis of the analysis of the vector "end defect"; The possibility of storing the principles of system dynamics before the analysis of innovative processes has been grounded.

The practical significance of the visitor's advance was amazed by the fact that, according to the assessments of analysts, the majority of Russian enterprises practically drew up the reserves of the "visual" type. The first plan is the need to stay in front of competition, so that I can respect the problems of strategic management and innovation as the dominant official of stable function and effective growth. Remaining, in its turn, is a theoretical, scientific-methodological grounding of the adopted solutions and adequate rosary-analytical ideas.

The structure and logic of the materials until the end of the day to be ordered from the visitor to the rest of the buildings. In general, it is represented by the introduction, three heads, a visnovka and a bibliographic list.

Visnovki, shattered from the backward theoretical position of system analysis, know their own solutions in the realities of Russian economic action. splitting factor

The breakdown factor is malium, the continuity is not damaged, the evolutionary development is observed, the normal factor is the breakdown factor at

The distribution factor is great, / the system's stance is changing / striking, it's a good idea to switch to a new level of development is a normal factor

Figure 2.5. Model of scientific and technical progress

The home country of the economy of Russia is also able to innovate this year with a small amount of necessary investments, minimal risk and a short term of return on investments. The names of the powers that be, small, modernized products. In addition, if there is a new cycle of innovation, then this camp is characterized by the data of the CISN (Table 2.5).

Explained to Table 2.5: before the warehouse of the state sector, the organizations of the central bodies of the viconavcha power should be included in order to ensure the management of the state and to satisfy the consumption of the suspension as a whole; without attribution of organization, in general, in the main financial and control of the state. The sector of food education includes the university and the first mortgage, independent of the funding and legal status, as well as being under the control of the scientific-standard scientific institute, The industrial sector includes all organizations and enterprises, whose activity is tied to the production of goods or services for the sale. The private non-retail sector is stored in private organizations, not to put a profit (professional support, community organizations)

VISNOVOK

There are no dissertations until the end of the order of the development of the actual problem of economic theory and state practice from the establishment of the civil concept of innovative analysis. Yogo key idea of ​​the field in the historical potential of the system analysis and mathematical model for the design of methods for the development of problematic situations and the acceptance of optimal management solutions, the development of the rozrakhunkovo-analytical analysis.

In general, it was prompted so that the function of whether an economic system is to be looked at to grow in time and space and in order to achieve strategic goals, as Obґruntovano scho rozvitok kozhnoї ekonomіchnoї sistemi Je іntensivny for character i іnnovatsіyny for zmіstom ekonomіchne zrostannya and іnnovatsіyna dіyalnіst - domіnuyuchy factor tsogo rozvitku, Square od the system state in polіtichnіy i ekonomіchnіy ієrarhії, perevazhnoї FORMS vlasnostі, konkretnoї organіzatsіynoї structure. At the same time, on the skin level of economic and political systems, specifically, the change in efficiency has its own specificity, as it is based on general attitudes, adjusted by the scale of the current enterprises, and also for the set of

Thus, in the regional national economies, the development of innovation in the meaning of the world, The most important person has a strategic installation of the sovereign scientific and innovative policy of the field in the minds for the accumulation and preparation of scientific knowledge, for the accumulation of scientific knowledge, for the development of modern products and technologies. It’s structured to enter the system of goals and implement a complex of entries, click on innovations, coordinates, improve the efficiency of innovations aggregated in the national economy of state-sponsored sub-entities. The value of scientific and innovative performance on the level of national economies is manifested, first for everything, in its inflow on macroeconomic indicators: behind the data, aimed at, in the middle of the factors, that inject into the growth of the real national economy, the best part- 68%, falling on a small part of intensive factors, and 28% of them start without an average technical progress -because of a new technological base and new possibilities of practical work.

At the regional level of innovation, it is also important to work in the form of institutional innovations, aimed at securing the growing growth of income in the regional budget, the processes of unprecedented regulation of life. The cause tsogo eg іnnovatsіynoї dіyalnostі Je zmіtsnennya ekonomіchnoї samostіynostі regіonіv, rozvitok mіstsevogo samovryaduvannya, in addition chislі, nayavnіst zakonodavchih organіv, SSMSC priymayut normativnі Akti to the furrows svoєї kompetentsії and zmіstom - system organіzatsіyno-ekonomіchnih i Yurydychna zahodіv, spryamovanih on formuvannya spriyatlivogo іnvestitsіynogo seredovischa, the mainstream of mechanisms, where they take advantage of scientific, technical and viral opportunities, the development of education in the region.

Іnnovatsіyna dіyalnіst znahoditsya in especial, vidіlenomu stanovischі on vіdnoshennyu to whether yakoї іnshoї dіyalnostі, pov'yazanoї of funktsіonuvannyam kozhnoї ekonomіchnoї System: Won becomes the basis konkurentospromozhnostі kraїn, regіonіv, of companies fіrm i, i її values ​​zbіlshuєtsya in mіru zrostannya samostіynostі system: cpm bіlsh independent є economical system, team in big minds їy to bring the action. The most sensible ones are the most inflating є around the enterprise: the interconnection of resources, the camp of the material and technical base, the vice of the market to reach the foldable mind for their functions.

The specifics of the production line of the economic situation, the transition of light development to the postindustrial, informational era, allow to keep the message about the formation of a new form of competition among enterprises. At the first place is not the competition of the prices of products and their quality, but the competition, which is lost in the introduction of new products, new technologies, new types and resources of resources, new forms of organizing the production and implementation. The competition, which is based not on the current, but on the maybutny camps of enterprises, will overwhelm not the most important arrivals, or even the most eternal one, immediately being the main factor of being an economic situation, the head stimulus of being distracted before it. Zmіst іnnovatsіynoї dіyalnostі of companies skladayut rozrobka i realіzatsіya sistemi zahodіv, spryamovanih on osvoєnnya novih vidіv chi Making Change log to ranіshe vipuskalasya produktsії (product - іnnovatsії) vdoskonalennya virobnichih tehnologіy (protses - іnnovatsії) stvorennya drain scho zabezpechuyut maintained upstream access to resursіv, Zahist i Change of market positions, the idea of ​​new forms of communication with economic partners (market innovation). Pererakhovani see the innovation in their relations, together with the introduction of new additions to the resolution of global problems of sustainable functioning of the enterprise and strategic establishments of the efficient growth.

All that has been said about enterprises in the meaning of the world is true for both individuals and individuals, "who do it" and realize their best singing quality. With a wide range of motivation for innovative activity, some of the individuals are quite similar to the motives, which spontaneously produce enterprises and companies without interruption in understanding, to catch up on the change of production, as well as production technologies; і in the description of the methods of innovative activity of both individuals and enterprises, it is possible to draw a direct analogy. Innovations, which can be useful with a skin coating with an individual, can be useful in shape and day; at the same time, the stench admit grouping is similar to the way it is traditionally to be scared for enterprises. So, if you carry out parallels between the enterprise and a specific physical person, which supplies your professionalism to the market, then you can serve as an analogue of product innovations by new knowledgeable people, bring the professional knowledge and advice. Analogs of technological innovations are the price of new methods of combining explicit knowledge and admission, so that they allow you to remove clearly new results in a special professional performance. Rinkov іnnovatsії - tse pochuk new forms of self-realization, new spheres of reporting of their forces and knowledge.

The role of innovation in economic development is positively positive, it is necessary for mothers in respect, but you won’t be alone in one of the factors that will destroy the economy in the middle of the economic system. Good quality and new product development, modernization and new technologies, organizational form changes in the view of the economic system, bringing new types of performance and likewise old ones. The whole process of "creative ruinuvannya" is to uninterrupted renewal of virobnicity, with descriptions by J. Schumpeter, who, having venerated his theory of the best, is adequate to the interpretation of an economic process, especially in a great era.

In terms of the point of his analysis, J. Schumpeter accepted the fact that the skin economical system is constantly used within the framework of a competitive competition: ...

F The introduction of innovation radically changes the situation: innovation in significant values, which leads to a high drink on a loan and payment of money. The loan is necessary, we will put the system to the state-endowed sub'єkts in order to be able to grow up in the system of change, to stick to them. Stop rocking the crocs in terms of penetration into new spheres, new methods and ways of doing things, so that I know how to reach the level of innovation in the system, albeit in a completely new way. The reason for this in the end is to lead the economic system to a new round of development, the situation of stabilization and the process of "creative development" is repeated again. In such a rank, the innovation is to lead the economic system from the state to the equal and from the turn to the equal, but to a new, more high level. The development of the economic system is seen unevenly, while it is supervised by recessions, the scale of which is proportional to the speed of the progressive decline.

All the people who have been told about it are the priority values ​​of the planning of innovation and management of it. Planuvannya іnnovatsіynoї dіyalnostі, koordinatsіya i vporyadkovane rozpodіl in chasі i prostorі permit pіdporyadkuvati її dosyagnennyu strategіchnih tsіley ekonomіchnoї system zapobіgti nadmіrnim pіdyomi odnі moments in an hour i downturn in INSHI, tobto zroblyat zdіysnennya іnnovatsіynoї dіyalnostі that rozvitok ekonomіchnoї i sistemi regulovanimi kerovanimi Process. The management of the innovative activity is necessary because the system, as the visitor of the collisional forces on the other axis, the main lines, can easily leave the center, at any moment, there will be a magical crisis,

At the same time, the very problem of managing the innovation performance of the post is at all its own. Won perestaє Buti lishe zavdannyam stvorennya such ekonomіchnih mehanіzmіv, SSMSC stimulyuvali b zdіysnennya іnnovatsіynoї dіyalnostі, zabezpechuvali b Visokiy rіven do updates, spriyali b dosyagnennyu vіdchutnih ekonomіchnih efektіv, digit bіlshoyu mіroyu problem upravlіnnya іnnovatsіynoyu dіyalnіstyu nabuvaє vіdtіnok tsіlepokladannya, peretvoryuєtsya a problem viznachennya tsіley i metodіv їh dosyagnennya , the development of the strategy, which will meet the needs of the development of the economic system in the pre-construction perspective.

The solution to the large-scale problem has hampered the conceptual approach, the development of the out-of-the-box laws of innovation on the basis of the aggregation of logical, similar and many methods of pre-development. The emergence of foreign laws є one of the main problems is not only in the theoretical knowledge, but in the case of the emergence of practical enterprises, the management team is responsible for the development of the law, in the knowledge of the law. The main significance is to induce both conceptual, explicit models, and formalized mathematical phenomena, without such scientifically based management it is practically unwise.

Іnnovatsіyna dіyalnіst - Process pіznannya result, vtіleny in viglyadі novoї produktsії, novoї tehnologії, i novih metodіv pіdhodіv to organіzatsії gospodarskoї dіyalnostі, yavlyaє him zovnі obumovleny i vnutrіshno generovany protses bezperervno - discrete character: being bezperervnim, vіn zdіysnyuєtsya in formі realіzatsії okremih іnnovatsіy. Skin coating innovation is also a process, є a folding dynamical system, which has a spacious-clock structure; take a number of stages in its own time: stages of birth, wine, progress, expansion, growth, confidence in growth and improvement, we have specific features, who have appreciated the nature of their time. Freedom is the value of innovation, as it manifests itself in the mastery of the required technology, for the appearance of a consumer product on the consumer market at a certain moment of the hour. The cumulativeness of the innovation has been summed up by the team, so that the life of the innovation and the results of the new innovation can be found in all the history of its development, by correcting from the stage of birth, at least to form, the future potential of The potential for innovation, in its own right, seamlessly infuses into the spacious structure of the framework of the innovation and innovation process as a whole, the configuration of the processes of the extended innovation. In the process of broadening the innovation, the economical theory is used to tie the phenomenon of diffusion, as it is traditionally presented against the counter in two basic forms. In the capacity of one of the forms of diffusion, there is an expansion and a large-scale distribution in quiet areas, for those who have started an innovation; Another form of diffusion is the transfer of technologies in the other regions from the introduction of the existing ones, changes and additions. In the course of the recent development, another form of diffusion has been revealed, based on the fact that in innovation, it is focused on the thorough understanding of both sides of the efficiency of the economic system, inevitably taking over and on the other side of the organization: innovation in the process of one and additionally one one. It has been established that the potential for innovation is more wider than the sphere of consolidation and in addition to the function of the economic system; back, the larger the phenomenon of diffusion, the larger the economic effect of the innovation - the practical implementation of its potential.

Whether it is a process of a cumulative nature, innovation is adequately represented by a characteristic S - figurative logistic curve, as it is a logical model of the mechanism of innovation. The main understanders were allowed to describe the function of economic systems and innovation processes in a logical and logical manner, to prevent their development, є to understand the convergence and divergence of the parameters in the camp. It is possible to interpret how the internal processes of growth and development, interconnected with the successive factors of sustainability and non-sustainability, be a dynamic system, including economic ones. For the "spoky", evolutive stage of the functioning of the economic system, the manifestation of mechanisms is characteristic, which stabilizes the state; systemic stan stiykim: є nadіynі dzherela resources, tested technologies, stable markets of zbutu; An economical system gradually converges to the tsiy camp, lіkvіduyuchi vіdhilennya from ny. W Plinio hour in rezultatі bezperervnogo zmіni drain funktsіonuvannya, kіlkіsnogo zmіni parametrіv zovnіshnogo seredovischa i / ABO system її opіrnіst to zburen slabshaє, vіdbuvaєtsya RPPOs postupovostі (in bіologії podіbnі situatsії nazivayutsya zrivom adaptatsії) nastaє moment, if vinikayut peredumovi for yakіsnoї zmіni will sistemi , so that the implementation of Chergov іnnovatsії.

Skin innovation, being a dynamical system, also does not lose its unwavering development. So, at the cob stages of the process of innovation and innovation (at the stages of expansion and growth), all the growth will be based on the fact that, in the maximum step, the results of innovation, and the formation of the theory of the theory of systems in terms of the theory and theory of the theory. However, the implementation of innovation does not mean that innovation is more effective. Navpaki, is to blame for the work of the robot on the modernization of the product, so that it is allowed to introduce thoroughly all kinds of organizational technologies in the form of realizing the polishing and developing innovations. In the context of the vision of development (in the same terminology of system analysis and the theory of catastrophes), a factor in the development of innovation is added to the process of realizing and singing the world of the house, the kind of logistic, albeit The development of innovations will create normal factors, and they will be without interruption, evolving. In an hour or so, bureaucrats will be able to do it: in the world, as innovation is coming close to its technological boundary, there will be a selection of others, which will make innovations; at once, new original ideas, design principles, technical solutions are determined to develop science; the appearance of divergence is growing, but the need for development is necessary as the potential for new development. When dosyagnennі splitting factor deyakogo critical thresholds realіzuєtsya chergova іnnovatsіya scho pіdnіmaє ekonomіchnu system yakіsno Novii rіven funktsіonuvannya, rank Thus, visnovki teorії "CREATIVE ruynuvannya" zroblenі J.Shumpeter on osnovі ekonomіko-randomness analіzu that empіrichnih danih, pіdtverdzhuyutsya position system the analysis and mathematical theory of catastrophes, the meaning of the theoretical and catastrophic interpretation of the processes of growth and development of economic systems cannot be determined by the number of solutions. Reading the analogy, as if quilting through the fundamental principles of innovative analysis and models of the mathematical theory of catastrophes, to achieve a promising, some of the new possibilities of formalized presentation of the concept of innovative systemic development. The dawn, given the normal and split factors, can be easily modeled as an elementary catastrophe of the "zbirka" type. One of the main problems of the practical stagnation of the catastrophe model is to see the bets of the main factors, the change of which is the reason for the streak-like transition to the development of the system. In the course of the advancement it was established that, in the innovation analysis, for a normal official the development of the innovation of natural acceptance of the Zusill by the way of reaching the economic effects of the victories formed; the role of the development factor is the novelty, the originality of the idea, the design principle, etc. - all those who are aggregated in the understanding of the potential of innovation. The model apparatus of the theory of catastrophes allows you to see more normal and unlock bureaucrats, so that you do not get the evolutionary development and wick the streak-like transitions, because of the critical value of these parameters. Obviously, it’s further down the line in the above-mentioned longing for the detailed development of the potential for innovation, for the formulation of a clear understanding of the apparatus, for the appearance of officials, for the value of the potential, the vibration of the average image, in general. Singing kroki according to the advanced potential of innovation and stagnation of the understanding to the innovation analysis of growth in the course of dissertational robotics; the spring, the understanding of the potential for innovation is laid in the basis of the prompted classification for the innovation development and the ranking. The whole vibration of the grounding is an offensive argument: the very potential of innovation is the beginning of the cleaning effect, which, in its own right, is true and true.

The value of logical and logical predictions of innovative processes is not only due to the fact that the stink of ignorance of the principle, the possibility of formalized descriptions, is a methodological approach to theoretical models, to serve the basis of similar mathematical models. Yakіsnі characteristics of a pre-sluggish object, which are called nominal or clasified, give the ability to distribute adolescents to groups, classifications. Complex systematization of innovations, allowing to provide order characteristics, ordering and ordering of innovations, so, in its own right, the possibility of setting the singing type

Further on, the innovation activity was carried out on the basis of the economic and mathematical model, prompted by the evolution of the evolved regularities, the advancement of the authorities of the chain of models and development. Oscillations of innovation performance are a call to the innovation and internal generation of the process, the model includes a formalized description of the sub-unit of innovation activity and the mechanism of innovation. Sub'єkt of innovation formalization in the concept of an economic agent - the central warehouse methodology for modeling economic systems. Economic agents in dissertations are called individuals and groups of individuals, united in the scope of economic goals and methods of development; stench is an elementary oddity, good to take independent solution... Within the framework of this designation, all state-sponsored sub'єkti are accommodated, which function on microeconomic conditions: promises and industrial enterprises, industrial enterprises of the sphere of messages, scientific organizations of the sphere of society. The vibe of the microeconomic level of reasoning is that, at the level of national and regional economies, in general, the problems are not the style of the management of innovative ideas, but there are pictures of pro-tech. The specific solution, which is necessary for innovation, is accepted at the level of enterprises; stink to get attached to the practical needs of innovators in the innovation visits and direct to the innovation in order to reach the goals of enterprises, so that the innovative process is realized without a doubt through the process

The formalization of the description of the economic agent is based on the description of its internal camp - the identification model, which allows the vision of the economic agent as an independent unit of caution and improvement, and the model of the current model of the situation. The internal camp of an economic agent is generally based on offensive information: w (t) = (x (t) yy (t), a (t ^ j, de facto victorious resources, v (V) b7 (?) З R + - products, letting go (R + space of products),) e A (t) ~ (f),., at (7)) - technology. With a whole understanding of "products" and "technologies", the boules were interpreted as far as possible: the products are all those that can be seen and identified as the context of the day, in general, using the methods of their fixation and visualization; to them, it is not only the material results and the virtue of people and nature, but the services, vidi pratsi, information; technologies - all methods of processing resources into finished products. ny module of the outbound description of an economic agent, a dynamic model of the function of what kind of visas is based on the basis of the fixed management u (t) to the Kintsev, but not endlessly, it is possible to develop the technology in terms of systemology.

The factor that will summarize the need and will prevent the possibility of development is the factor of the new middle ground; To ruin the connection of the economic agent from the most important degradation to the degradation and ruin of the whole system, in addition to the fact that the description of the economic agent is included and the characteristics of the middle name. The process of an economic agent and a new middle-class is a situation of a non-antagonistic conflict, in which a middle-class one can see both information and promising tumble as a potential new daddy of a new, creative The model of the situation, on the basis of the identification module, to avenge the exogenous value for the economic agent; The stench of guilt is anatasized when there is an increase in the amount of change, but there is no need to change it directly. Nayvazhliv_shayu structural peculiarity of the zonn_shnyo otsioneniya (the kind of images of which є the structure of an economic agent),

A meta-set of identifying stations: J = o any expansion on the outskirts of the subsystem from the rank order of the remaining after the stage of interaction and interconnection. In the description of an economic agent, there is a set of parameters q \ (t), which characterizes the block of economy, which is equal to an ) on a daily basis: = ® the right line of an economic agent is started by a meta set management, based on the stagnation of economic and mathematical methods, is guilty of based on the mathematical identification of the meaningful objects, prompting a formalized description of the function of the economic agent

At vіdpovіdnostі Zi svoєyu mіsієyu i dinamіchno zmіnyuєtsya zovnіshnіm seredovischem ekonomіchny agent viroblyaє tsіlі otrimannya stіykogo pributku, zdobuttya Competitors perevag, stabіlnogo funktsіonuvannya in dovgostrokovіy perspektivі scho dozvolyaє otsіniti Yogo threading mill (yak mіnіmum in pershit nablizhennі) the size oderzhuvanogo pributku f (t) = f (w (t), q (ty). The dynamism of the function and, as a heritage, I will describe the economic agent, I will consider the need for a dynamic approach to form the criterion of the quality of the yogo function in the pre-vibrational period of the period arrival on the rocks, for the amount of arrival for the same period, taken from the current discount rate; the remaining criterion allows the natural widening and non-continuous trajectory:

However, to the power of innovation mechanism, the model is motivated by the development of such a world: it’s guilty, but I’m guilty in order to describe the process of realizing innovation, and the process of creating concrete Remaining is necessary for the analysis and development of a wide class of innovations. Vona is guilty of transforming the most important power innovations; We have found from them the cumulative nature of the development process, which is modeled by dz differential equations - = kz (b - z), de t-hour, z ~ z (i) - the result (effect) of innovation, up to> 0 (positive post-life) parameter scale), which characterizes the average rate of expansion of the innovation, b is positive post-change, which is surrounded by the result of innovation (the maximum value of the z value); The minimum innovation effect is equal to zero. The model of the mechanism of innovation is considered by the differential competitors to be promising from the point of view of the long-term advancement of innovation and development of the analytical structure of management solutions. Dawn, which allows the transition and transition of an economic agent to a stable state and turn the economic system to the stage of an economic system.

Suddenly, given a differential rivnyannya maє bilsh zagalny sense, not an analytical description of the mechanism of innovation. Iak to blush in, logistic S - similar to a curve, describing the life cycle of the skin environment, you can see how the model of the dynamics of different cumulative values ​​and that is the basis of the differential mathematical development It can be seen as a case of turning to the law of reciprocal transition of some and other changes to cumulative processes, including innovations. The setting, how to integrate in an explicit view and the first decision of the mind: z \ t) = -Allowing the moment to an hour, the most friendly for the creation of the Chergov innovation.

Schematically, the process of realizing the last-day innovations is shown in the view of the same logical curves, like pushing one one, instead of roasting, which can be different. With a whole skin family of curves, the graph of sukupnyh vitrates is an arrival, which will be rejected by the algebraic folds of graphs, and will be shown as an innovation. In the point of view of the same logistic curves, the moment when the most recent crisis begins to lie on the cob of the Chergovian innovation, it starts at the point of the break of the logistic curve, but it also confirms the assumptions of the mathematical theory of catastrophes: “. гілці "1. The coordinates of the inflection point Zq) can be found in two ways with the differentiation of the function z (t):

In s / h b q = -, Zq = z ^ o) = -> m * e * without lying in the middle in the parameter e>, characterizing

1 Price D de Solli. Small science, great science // Science about science. M .: Progress, 1966, p. 304 effective innovation. In such a rank, the moment that is the best for the ear of Cherkov's innovation, it is possible to survive, even reaching up to the time of the hour t, the effect z (t) with the value when z (t) і Zq approaches, the moment is approaching the "start" of Chergov's innovation. It is possible, more important for innovative performance, such as the luring high step of new and internal unimportance of results, not just points, but on the basis of an interval evaluation of the hour By the hour, welcoming for the ear of Chergov's innovation, there can be knowledge such as the interval between the points of the maximum curvature of the logistic curve; the earliest and the most recent hour, the earliest news of Chergov's innovation can also be insured analytically for accuracy to the quality of information, as well as identifying the parameters of the model. Dovzhina ts'ogo promіzhku can serve as a time-honored entry into the competitiveness of the innovation. The reserve of competitiveness of the innovation in practice can be used for insurance and as it appears along the ordinate axis between the points of the bend of two last logistic curves, as a whole by the parameter b, in accordance with which value b is interpolated. the task of determining the value of b is determined from the availability of adequate methods.

Potential effect of innovation assessed in the pre-existing position of the offensive approach: “. Being based on the methodological principles of system analysis, the process of moving from the global point of view of the economic agent, allowing us to look at its function from one position, from the point of view of the vibration of the development of the problem The misconception of the state-sponsored sub'єkta will establish the most important headquarters, for the sake of the appearance of those who form, function and develop whether it is a commercial system; itself won’t serve as a point of reference for the concretization of goals that are rotated in operational terms, their structure and vision of the logical links “the goal is to achieve the goal”. One hundred percent to the problem of securing an effective growth of a state-sponsored sub'єkta and rejecting a stable arrival in the main direct way, apparently to the prompted model of an economic agent, the purpose of the function = (t / vig) Obtaining the adjustment of the efficiency of the viral performance (I will describe the element \ v (t)) and thoroughly adjusting its relationship from the calling middle (element q (t)). Give the main goals to be concretized in the larger reports of the offensive era of the hierarchical system, depending on the structure of meta-sets w (t) = (x (t), y (t), a (t) ^ і q (t) = («^ (f ) ^ soprotsess detalіzatsії driven to rіvnya zavdan, SSMSC vіdrіznyayutsya od zagalnih tsіley tochnіstyu svoїh productions i mozhlivіstyu kіlkіsnih otsіnok stage їh vikonannya. Vagova obrobka rezultatіv vikonannya okremih zavdan on the bottom rіvnі ієrarhіchnoї sistemi tsіley i away agreguvannya rezultatіv obrobki skin rіvnya pid hour Ruhu vzdovzh vіdpovіdnoї the tree ends up asleep to the top and allows the assessment of the absolute economic efficiency of the innovation of such additions in order to achieve the global goal of stable functionality and effective development.

The supreme effect of the implementation of the innovation є rich-faceted and injected into all the warehouses of the model of the economic agent; a unique "inventory" of some types of effects, their conceptual appearance, changeable description, a little bit of an assessment, give the necessary information for the adoption of the optimal management An innovative project can be described by a set of effects (E2, .7 Et), leathery and additive or multiplicative functions, along with the technical and technological parameters, but to be seen in its own mechanisms, if it is a purely The vibe of the optimal management solution call to stay with the victorious methods of vitrati - gain or parity - efficiency. When realizing the first one from the cycle, all types of defects are aggregated into one warehouse value, the receipt for the additional performance rate, the size of those who are guilty of such, and about the number of warehouses that are the same in the turn Aggregation effect of innovation can be based on the common formula: E = X wiSi (^ i) G selected for the series 1 with non-linear transformations -> §2, ■ ■ -> & t їх potential effect according to the vector criterion of quality.

A sukupnogo potential effect on an innovative project on the outskirts of warehouses is not just for yogo good evaluation. It allows the details of differential equations to model the life cycle of innovations in fa, systems of differential equations - = kizi (D- - z -z = 1, m, de dt function zt (t) describe the form of rіshennya - sіmeystva logіstichnih curve in addition chislі i pripuskayuchi rіznimi scale parameter before (for rіznih vidіv efektіv Ostannє tsіlkom uzgodzhuєtsya of one іz base printsipіv sistemnoї dinamіki, zastosovnіst yakoї to analіzu іnnovatsіynih proektіv obgruntovana in disertatsії away rozvitok doslіdzhennya in zaznachenomu napryamku bachitsya in.. In addition, the dynamics of the skin appearance does not start with just a full stretch of water, but rather to lay it down from one of the other types of defects: the simplicity of the image is more precise.

When assessing the potential effect of an innovation, a large number of indications must be made, due to some non-initial criteria for the success or failure of the innovation project. It is necessary to bring together an aggregation of several types of effects into one aggregation of an indicator of quality, which itself is related to significant methodological, technical and computational difficulties, not in the world of visualization, because of the impairment of the efficiency of the function podolannya. By a flexible method of analysis of innovation efficiency, a new direct analysis of the previously determined efficiency of the function of economic agents was used, the technology of analysis of the middle of the function, so that the result of the basic analysis of the system was improved. The essence of the general approach to the field is in the fact that the efficiency of the skin economic agent is not assessed in isolation, but in the boundaries of the economy block, the storage of which economic agents are characterized by vectors of vitraty - release: v = -. zavіyutsya efektivnі virobnitstva scho utvoryuyut in prostorі vіdpovіdnoї rozmіrnostі efektivnosti gіperpoverhnost (edge), the shape yakoї viznachaєtsya sukupnіstyu tehnologіy, nayavnih in rozporyadzhennі vsієї spіlnoti ekonomіchnih agentіv; Taqiy sposіb representation efektivnosti virobnitstv traditsіyno priynyato in matematichnіy ekonomіtsі; vіn rozvivaє іdeyu virobnichih funktsіy i maximally zagalno opisuє The model of analysis of the middle of the function is described as the process of making non-linear optimizations in order to maximize the efficiency of the function of an economic agent for intelligence, as well as analogous efficiency evaluations The efficiency (general functional) in the whole set of functions is to serve the alarming sum of the input parameters to the vital sum of the input parameters (to the allotted the result to the vitrates). The optimal value of the functional is victorious as the world of viral efficiency of this economic agent.

Naybіlsha tsіnnіst method Analіzu seredovischa funktsіonuvannya, s point Zora Yogo zastosuvannya at doslіdzhennі іnnovatsіynoї dіyalnostі viznachaєtsya not tіlki i not stіlki otsіnkoyu stream will ekonomіchnogo agent on vіdpovіdnomu rіvnі ekonomіchnoї ієrarhії, skіlki timey visnovkami, SSMSC mozhut Buti zroblenі on osnovі tsієї otsіnki. Technology for the analysis of the middle of the function of permissiveness knows the ways of preserving the efficient level of efficiency, as well as the method of moving along the path to stimulate the zones of stability - areas in the vastness of phase coordinates, in the inter-agent economical This, in its turn, allows for the initiation of critically important development directly - directly, with the help of the efficiently functional economical agent, it can take its status, or, navpaki, that directly, for the most ineffectively efficient all the efficiently.

The systemic pidhid, about the groundwork about the vibration of the optimal innovation project, is guilty of the equal world order with the result of the innovation in the technology of materials, science and technology, labor resources, and The available resources appear in the quality of a natural interconnect during the implementation of an innovation, and often they begin to achieve the highest degree of efficiency and the very possibility of realizing it. With all the developmental resources necessary for the development of one innovation (labor, in the professional warehouse and qualified personnel, material - special possession, replacement of technical and other tools) However, it is only the structural and technical and technological parameters of the innovation that start with structural and technological parameters.

A skin innovation project can be adequately represented by a vector of potential effects and vitrate P = E1, E2, .Et, Su, the number of vectors in the designated form, so that the estimated alternatives to the simplest form = , The first decision on the basis of the validity of the principle of the dominance of alternatives and the Pareto criterion; dominant options innovation is included from a wider view, allowing the speed of the number of projects that have been torn down to unrecognized alternatives P0pt, but not just one best solution... The optimal variant of the innovation is to be propagated by the introduction of a supplementary criterion for the selection of a different order, for example, having seen one of the criteria (or some criteria) in the overall quality of the head and outweighing the lines In case all the types of effects turn in a penny form and are reduced to the highest value of potential gain, the skin project can be characterized to achieve the desired result to vitrate, like and to maximize the improvement of vitality, but without urachuvannya.

Nayvazhliv_shoyu with evolved in the course of advancement of special features of innovatsionnaya performance and uninterrupted character; Kintseviy economical result is not the beginning of the efficiency of the projects, but the uninterrupted external input of the efficiency of the economical agent, so that this arrival will be rejected. Tochkov, "oasis" innovations may only be a local, short-term and rapidly fading effect, and cannot quite easily be drawn into the reach of the pre-city strategic goals of the new function and development of the economic agent. Remaining, schob, organically intertwining, additionally changing and replacing one one, at the same time, the innovative projects adopted a discretely uninterrupted trend, the static characteristics of which at the stage of the leather moment the complex of the project hour. Representing the supremacy of innovative projects, the portfolio of new innovations, the innovations of the new projects, and being seen as a single management during the planning and healthy development An innovative portfolio, based on the analysis of projects by the method of aggregation, is of great value, but not of projects. At the same time, managing the portfolio itself as a complex of projects, as well as with different powers, can squeeze more money and goals, and not manage some projects.

In the capacity of the simplest option, the solution of the problem and the formulation of the portfolio of innovations, the extension of the innovative methods in the selection of some projects has been proposed:

Popt =, Р Р skinnyh are characterized by an aggregation effect (the size of the warehouse arrival) E], the size of the vitrate З J: і the creation of a field in the fact that you will be able to vibrate the projects, so that you will not be able to reject the maximum income for thinking, which is not overwhelmed by the hypothesis Z, then її rіshennya can be attacked. All projected projects from no point are sorted according to the value KJ =

Whenever arriving to vitrates and far away, the projects will be accepted in the order established by such a rank until they are quiet, until the border of S. is reached. Representing a complex of projects, a portfolio of innovative projects, a portfolio of innovative parameters, either as a result of active, straightforward projects, or a kind of rank, as they begin to develop common projects and are characterized by factors such as Try to focus on the effectiveness of the portfolio, looking at the folding of the portfolio є maximizing the potential effect, giving vitrates to the effect of innovation. Sukupny efekt іnnovatsіy Got cumulative vlastivіst i kіlkіsno virazhaєtsya superaddіtіvnost funktsієyu:. EuR1 i PJ j> EuR1 j + EyPJ "j Zmіstovno tse oznachaє scho efekt od spіlnoї realіzatsії dvoh іnnovatsіynih proektіv not less then sumi efektіv od rozdіlnogo їh realіzatsії, and at the right poєdnannі proektіv overturning: innovations interconnect one by one in products, technological processes, organizational and management systems, and the skin from them can perceive the vision of others. so and super adherence in the number of minds in the implementation of a complex of projects.

Opportunities for the employees of the planning of innovative activity є injecting into the scientific and technical policy of an economical agent, who injected it to implement the solution and the distribution of resources. Rospodil resources among other projects to be included in the innovation portfolio Formula, scho viznachayut optimalnі strukturnі proportsії portfolio otrimanі in disertatsії zasobami theoretical іgrovogo modelyuvannya: pobudovanі A die i bіmatrichnih gris, scho modelyuyut konflіkt nezbіzhnih іnteresіv maksimіzatsії potentsіynogo efekta i mіnіmіzatsії ochіkuvanih vitrat, i found optimalnі zmіshanі strategіy in kozhnіy of them. The methodology for the designation of the structural proportions of the portfolio is proponent, and it can be used to form a portfolio of innovations from the factors of unimportance to the risk.

The idea of ​​stagnating the theory of the theory until the end of the innovation process in general and the formulation of the portfolio of the innovation of the winter seems to us to achieve the good and promising, like looking at the theory of the confessional methodology. So, with the formulation of a portfolio of innovations, it is possible to vikoristovuyu and instrumental theory of cooperative igor, so that in an explicit view of the innovation it is possible to allow the supererogativeness of the function of the supreme effect. The value of the theory of cooperative igor polyagu in the great ideological possibilities adopted in the new principles of optimality: Ca-core, N-M - development, n - the nucleus of that in. the theory of the building. At the same time, having hoped for the basic theory-and-game understanding to achieve a broad sense of change, it is possible to expand the principles of the optimality of the theory of cooperative games to the formal scheme of the back-end tasks to take decisions and victorious ideas, including the optimal Independently, the cost of nutrition is optimal (according to the number included in the portfolio of innovative projects) size of the portfolio. Obviously, the effectiveness of the EP portfolio is not only based on the parameters of the projects, but on the first: EP = EP (k). You can let it go, but with small values ​​to the tsya function, I’ll dEn positively go -, I’ll grow up with the deyakom kt ^ a, dk, because then I start to subside due to the growing organizational difficulties in managing a great portfolio. Out of the small allowances dEn is next, but y - є take one maximum, which і dk can be accepted for the optimal size of the innovation portfolio.

Skin innovation є with a folding dynamical system; management of an innovation є management of a dynamic system, a process, and a process without interruption (and a skin management solution is a static characteristic of a whole process) The method of Analysis of the middle of the function, traditionally stuck to the analysis of an effective in the static sense of the function of an economical agent, is developed in a dissertation on the situation, in an explicit view including the factor of the hour.

Viconans use permissiveness, zokrem, rozrahuvati the level of efficiency, which is guilty of being able to reach the singing moment of the hour. It remains necessary in order for the mother to be able to continuously control the process of developing innovations with regard to economic changes and additional information. It is clear that the assessment of the changes, that the additional information is not readily received and discarded in a short hour. Blame it for seeing the moment of the hour (checkpoints), in the process of carrying out a fundamental reevaluation of the innovation project, re-examining the skin aspect of the implementation of the innovation. The emergence of a number of control points is based on the powerful logic of the development of innovation: being an uninterrupted process, innovation is instantaneous and discrete structure; In its own development, you will go through a number of singing stages and phases, the moment of completion of some of the most appropriate re-evaluations for the period until reaching the results, changes that have appeared and new information. To re-evaluate all the parameters of an innovative project and all aspects of this project, a little more for everything, a potential effect, which in the course of the implementation of the project can both grow and change.

The rest of the furnishings can also be included in the model of the dynamics of innovative processes. In the most out-of-the-way forms of life, the cycle of innovation is described by the useless logical curves, differential - \, t, de bj (t) - potential effect / - type, insurance at the time of hour t. Analytically, the system integrates with precision up to quadratures, or, if sufficient information is available, it can be displayed numerically, either by means of an optimized model, adequately adapted by the principles of system dynamics.

The dynamic management process, which is necessary to continue the work on the project, is due to the fact that it’s a static analogue, the management solution, is guilty of the grounding of a potential improvement. However, the fact that it’s about managing a dynamical system is to introduce its own specifics into the organization of the process. At the time of the skin's management, the decision to wiggle around with the urges of the one who will be able to innovate in the process of realizing, what kind of potential potential effect can bring further work for the project, if it is a worthwhile investment. Traditionally, the form of presenting the results of the assessment of innovative projects at the points on the numerical area "parity - efficiency" is displayed, the static state of innovation is displayed at the time of the designation of the project; The vector is associated with such a skin point as a natural rank (the radius is a vector, which comes from a cob of coordinates - a point, a kind of inactivity, in the image of the cardinal characteristics of an innovation point). If it is necessary to analyze the dynamics of innovation processes, those who remain guilty do not appear at the points of view, but at the viewpoint of the trajectory of the area. The traktorіya appears in the view of the lamano, the institutes of which we see the singular moments (the moments of completion around the stages of the intermediate control points), the coordinates - to the reach additional potential defect and additional vitrates - vector of “endovian defect”. In the course of the last decade, the vision of the type of direct vector, the relevance to the skin and the transmission of the general management solution.

Rozroblena metodologіya viroblennya optimally rіshen i organіzatsії Process upravlіnnya іnnovatsіynoyu dіyalnіstyu Je dosit zagalnoyu in addition sensі scho Mauger Buti zastosovana to іnnovatsії skin type, scho pochinaєtsya on whether Money Does etapі її zhittєvogo cycle against neobhіdnoyu Minds її zastosovnostі Je stіyky camp zovnіshnogo seredovischa i trivaly Historical information, allowing identification of parameters of mathematical models. Mind the economic, political, legal instability often think about the idea of ​​the adoption of a universal methodology of taking decisions. The natural insignificance of a number of indicators, which characterize the quality of innovative performance, also encompassing the rejection of and analysis of the options for potential situations in the context of the sound of optimal solutions Adequate analytical thinking similar to the approach to organizing the process of managing the basic process of managing the innovative system dynamics:

Pobudovane strukturovany Opis ekonomіchnogo agent yak sub'єkta іnnovatsіynoї dіyalnostі dozvolyaє oharakterizuvati Yogo threading mill rіvnem deyakih fondіv i vnemodelnih odinits (Some of the elements of spіvpadayuchih formalіzovanogo inventory ekonomіchnoї agent) dinamіku stream will - zmіnoyu rіvnіv fondіv and samі tsі zmіni - pace napovnyuyut abo vicherpnih Fondi streams, so that we begin to dynamically state the state’s efficiency and innovation activity, and bring about the same effect until reaching the goals. Adequately visualizing the structures of pre-sensed systems, taking into account the system dynamics, allow the processes of managing and innovating with the regulation of positive and negative annoying singularities (the obviousness of certain ones) let's get it right funds on tempi remind any more streams. The idea of ​​regulating the process of controlling the ringing links allows the systemic dynamics of the understanding of extensive development and effective development, respecting the analytical problems of the most intensive and large-scale development.

The specifics of system-dynamic models, as it is the case, is that the particularity of the functions of the pre-visualized systems start in the main transmission of the structures, the emerging contours in the straight lines and the ringing vibrations and the result of the adequacy of the visualization The parameters of deposits, which characterize the establishment of the sound, can be set with significant errors without inflowing into the results of the model; when prompting the models to finish up, set it up without the zagalny between the changes in parameters and to define them according to the urahuvannya of the laws in the course of the numerical experiment.

The methodology of system dynamics allows for the practical implementation of information technologies through the inducement of adaptive models for a certain hourly interval of development of the situation. Stavlyachi singing croc іmіtatsії, it is possible to vary the quality of the results of the model: from the rejection of the report scenario from the development of the situation to the emergence of the main trends in the development of podіy.

The main provisions of the dissertational discourse, the second idea and the conference were further developed and discussed at the scientific and practical conferences of the ages: international (m Rostov-on-Don, 1999, Veliky city, 1997 All-Ukrainian (m. Saint-Petersburg, 1997 rik, Ulyanovsk, 1999), interregional (m Rostov-on-Don, 1998 rik, N. Novgorod, 1999). Naukova-metodologіchnі that metodichnі results doslіdzhennya znayshli vіdobrazhennya i otrimali rozvitok in NAUKOVO-doslіdnih rozrobkah Department of Mathematics Prikladnoї Dzerjinskiy fіlії NSTU at vikonannі derzhbyudzhetnoї PDR "Zastosuvannya chiselnih metodіv to virіshennya deyakih fіzichnih i-sotsіalno ekonomіchnih zavdan» (№ derzh.reєstratsіyu 019,000,297,566) bully vikoristani during the development of a methodical securing of the initial process.

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