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An essential tool for improving efficiency of industrial production is the activation of innovation activities, which is based on the application of achievements in scientific and technical progress (STP) and contributes to both the economic development of enterprises and economic complex of the country as a whole. This is what predetermines the need for development of scientifically substantiated approaches to the management of innovative activity aimed at improving the efficiency of resource use and results of activity of industrial enterprises, as well as identifying the areas of its organization. An increase in efficiency of enterprise activity is related to its capacity to adapt to the peculiarities of modern competition and fast changing market environment, to respond in a timely manner to these changes, to define strategic directions of activity, such as the application of new technologies and creation of effective mechanisms for the implementation of innovations. The aim of present work is modeling the impact of technological innovations on the improvement of production efficiency by way of mathematical description of the patterns of interaction between innovation and production activities of industrial enterprise and determining quantitative effect from the implementation of new technologies on the decrease in production resource intensity and improvement in the operational results of the industrial sector of economy. We examined influence of technological innovations on the indicators of resource consumption in the production, based on economic-mathematical modeling of the interaction between production and innovation processes. Models for correlation dependence were devised of the resource-intensive production on the introduction of new technologies at an industrial enterprise in Dnipropetrovsk Oblast (Ukraine), using which we established and mathematically described a regularity of the impact of technological innovations on the magnitude of economic indicators of production activity at an industrial enterprise. Created economic-mathematical models allowed us to calculate a quantitative ratio of consumption-intensity of production and investments for progressive technological renewal of production, while the established interval limits – to predict possible changes in the indicators of production as a result of implementation of new technologies and to plan the results of enterprise activity depending on its investment and innovation activity. In the course of analysis, we calculated parameters that characterize quality of the developed models and indicate their adequacy and capability of application in practice. The scientific novelty of present research is in establishing and mathematical explanation of regularities of interaction between examined indicators of innovation and production activities by means of the developed economic-mathematical models, as well as in calculating quantitative effect of new technologies on the increase in performance efficiency of industrial enterprises. A practical value of the study is that mathematical formulas, developed by economic-mathematical modeling, allow us you to calculate the magnitude of indicators of resource intensity and production efficiency, which correspond to a certain volume of investments in new technologies. Created models of correlation dependence make it possible to determine the change in the magnitude of indicators of industrial activity as a result of effect from changes in the volume of investments in technological innovation and, consequently, to predict and plan results and the degree of increasing production efficiency based on available investment resources. Their quantitative ratio allows to assess qualitative and quantitative effect of the implemented new technologies for the improvement in industrial enterprise efficiency. A promising direction for further research is the creation of mechanism for managing investment-innovative activity and production efficiency based on technical and technological renewal of enterprises material–technical base.

The interrelation of an enterprise strategy and the factors of successful implementation of the projects at an enterprise, and primarily, the compatibility of the parameters of projects with an internal environment of an enterprise is a priori necessary. The process of formation of a portfolio of projects is quite complex, so it is advisable to consider general mathematical setting of the problem of formation of a portfolio of projects and to identify the main concepts, within which to carry out the main task of this study. The purpose of the study is to obtain a publicly available algorithm of optimal selection of the projects for the portfolio of an enterprise that will meet its overall development strategy and will not conflict with the set of resources that is already available. In the course of performing the set tasks, we applied scientific methods: comparison, generalization, mathematics and system analysis, mathematical similarities and simulation. The information basis of the study is the authors' designs relating to a portfolio analysis. The status of the tools and mechanisms of strategic management at a production enterprise was analyzed under conditions of competition and an enterprise development. It was revealed that at present there are many methods of selection of projects, but on the one hand, they are all incomplete, on the other, they possess complicated mathematics apparatus that makes it inaccessible for a wide application, which is why obtaining a simple approach is extremely necessary. The algorithm for the analysis of potential projects was proposed with the aim of their selection for the portfolio of an enterprise and further implementation. It was proposed to take into account the available resources of an enterprise and its current strategy. Applying this algorithm provides for the consistent analysis of the projects in order to identify possibilities of their implementation at a specific enterprise, taking into account the state of the enterprise's resources, for the coordination of the plan of implementation of the portfolio of projects with the plans of an enterprise during different levels of planning, for the selection of the most promising projects for implementation in line with the strategy of development. The novelty of the research lies in an attempt to expand the parameters of an enterprise that should be included in the requirements for the selection of projects and will most accurately reflect the original status of the enterprise. On the basis of the proposed algorithm, it is planned in the future to build a mathematical model of formation of a portfolio, which will highlight the main settings needed to conduct a comprehensive analysis and assessment of the portfolio of a company. The parameters were proposed for the strategy of an enterprise, which allow systematically assessing of the possibility of implementation of its portfolio. With the use of the given indicators, we evaluated implementation of the portfolio of projects at the level of planning of functional units.

Purpose: to scientifically substantiate the factors influencing the quality of receivables management. Design/Method/Research approach: This study uses a systematic approach and methods of synthesis, semantic analysis, historical analysis, analogies, generalization, explanation, classification and graphic are applied. Findings: Management of receivables, which for the seller's company are the debts of buyers - is one of the components of modern relations between enterprises. Limited resources force managers to select tools and sources of financing sales with deferred payment, as well as to analyze the factors that affect the quality of management of such deferred payment. The subsystem of receivables management is presented and analyzed, in which the factors (elements) important for effective management in the enterprise management system are highlighted, which are usually analyzed and corrected during the management of the level of receivables. It is proved that this subsystem needs to be refined taking into account the factors of the macroenvironment. It is emphasized that the factors of influence should be singled out for wholesalers, as in the wholesale chain compared to retail trade, the markup on the value of goods is reduced and it is necessary to financially ensure the sale of goods with deferred payment. Accounts receivable management is considered to be high quality and efficient when, as a result of such management, enterprises become financially stable. The system of factors, where the main role belongs to economic factors, is improved, the approach to their quantitative estimation is offered. Theoretical implications: The theoretical two-level mathematical model of quantitative estimation of factors of influence on quality of management of receivables of the enterprises is offered. Practical implications: The results of the study can be used in the management of receivables of enterprises, the formation of tools for assessing the quality of receivables and identify the main factors influencing the quality of receivables. Originality/Value: The scientific novelty of the research is the content of separate factors of influence on the quality of receivables management is generalized, structured and investigated. Research limitations/Future Research. Prospects for further research is the development of a comprehensive application mechanism for managing receivables, taking into account the factors influencing its quality and industry characteristics of enterprises. Paper type: theoretical.

Purpose: to formulate and justify the optimal system model for managing sustainable economic development of a hotel and restaurant business. Design/Method/Approach: A theoretical generalization, logical-critical and economic-mathematical analysis patterns of functioning of a business as an economic system, based on systemic, process and target methodological approaches. Findings: The regularities of the business operating as an economic system are investigated. The system, target and process approaches to managing a business entity by developing a methodology related to the target functions formation of the individual subsystems and processes that make up the business activity are studied to identify patterns of their interaction and achieve an integrated result with the greatest efficiency. A structural-logical model of the control system is formed under the influence of disturbing environmental factors based on the objective functions and established vectors of sustainable economic development of the hotel and restaurant business, taking into account monitoring of its performance. Practical implications: The research results allow formulating the target management system for the sustainable economic development of the hotel and restaurant businesses based on monitoring costs as elements of the resources consumed, and effectively get adapted to environmental changes through integration of engineering, technology, economics, planning and management methods. Originality/Value: There was proposed a method for the system formation for managing sustainable economic development of a hotel and restaurant business based on cost monitoring, which, unlike existing ones, based on a set of system, process and target approaches and enables by differentiation processes occurring within the business and establishing patterns of their functional links with indicators of resource costs, provide forecasting and planning of performance. Research limitations/Future research: These researches are the basis for the subsequent evaluation and prediction of the of the operation efficiency, optimize resource costs of production and commercial activities of business entities, to create a mechanism for sustainable development of businesses. Paper type: theoretical.

The rapid development of the Internet has had an unprecedented impact on the improvement of the sociological method. At the turn of the millennium, this has led to the search for a new methodology and a gradual loss of interest to use of quantitative methods, which was perceived by specialists as a "crisis of empirical sociology". In the last decade, it turned out that almost all social processes of any level find their reflection in the virtual space, leave and accumulate so-called "digital footprints", which opens to researchers the widest perspectives for study of social reality. This article considers the features of digital primary information and generalized approaches to its use in terms of quantitative methodology. The author emphasizes that the classical sociological methods, which are based on mathematical statistics, are suitable for the analysis of digital reality and getting adequate research results. At the same time, as noted by most authors, who have studied this subject, there are perspectives for improving traditional sociological methods through: 1) a combination of representativeness of quantitative and depth of qualitative approaches to information analysis; 2) in-depth collection of paradata; 3) opportunities to study hard-to-reach social groups; 4) opportunities to fully implement the "principle of freedom from evaluation" due to the "non-reactivity" of digital data; 5) the ordering of digital footprints in space and time by clearly fixing the hosting. The post-demographic model of the social actor opens new ways to build samples of quantitative sociological research, which may be representative in terms of the classical sociological approach. The examples of research from this article show that the classical sociological method easily to adapt for the new digital reality and can be the basis for sociological consulting, development of social technologies in various spheres of social life.