The purpose of the study is to develop an economic-mathematical model of the socio-economic system, which takes into account its logistical structure and ecological viability. This allows for optimal budget planning for the new project. The methodology of the study is based on the method of J. Forster, who proposed to consider the logistics system of any enterprise as a system of reservoirs linked by material, financial and information flows. The main result of the study is as follows. The methodology is designed and developed a mathematical program that allows estimating the relative value of fixed assets of production and the number of costs for creating a retail network with the impact of the environmental components. It is shown that this ratio is determined by the value of all key parameters of the enterprise logistics system. This result was obtained through careful modeling of structural changes in the logistics system of the enterprise. All basic communications (flows) between the elements of the logistics system were also considered. Calculations were conducted for the system of the equations which have been written down in shape with discrete-time. At the same time modeling was carried out so that there were no "not physical" phenomena (such as overflow of warehouses, etc.). As a result of calculations, optimum values for all basic characteristics of the new project have been specified. The most actual has separately been considered for practice as a case of optimum planning of storage facilities. The practical importance of research consists that scientific representations about interrelation of the capacity of the enterprise with key parameters of the logistic system can form a basis for more effective planning and management budgetary and production processes at the enterprise, namely: it is more reasonable to plan scales of production and expenses on logistics creation.

Ukraine has a relative drawback in the economic defense capabilities, which needs to be addressed by raising the indicators of macroeconomic development, innovation, and economic potential, social health of the population of the state, and the support of the Armed Forces of Ukraine, by the state. The estimation of the defense capability of states like Ukraine, Poland, Russia and Turkey is made on the basis of the developed methodological approach to the overall representation of the health of the economies of the states and their defense capabilities using the method of constructing petal diagrams with the definition of their effective areas, which became indicators of economic status and defense capability. The article analyses the dependence of the development level of the countries’ economies and the state of development of the armed forces of these countries in the conditions of resource constraints and existing risks on the basis of macroeconomic data and indicators. This article uses the indicators for the determination of the level of defense capability and the data of petal diagrams and the scenario modeling of the development strategies of the Armed Forces of Ukraine with the aim of constructing the most optimal forecast in this area.

The United Nations 2030 Agenda and its Sustainable Development Goals pose new challenges for Ukrainian businesses, which need to adapt their operations and strategies to the requirements of the SDGs. The purpose of this paper is to highlight the role of economic challenges and business opportunities of the SDGs for the Ukrainian economy. In particular, it assesses whether the SDGs can realistically be achieved after the COVID-19 pandemic and the war with the Russian Federation. Methodology. More generally, the framework allows to assess the macroeconomic coherence with the development strategies of Ukraine. The basic trends of the SDGs for Ukraine are summarized, and the estimation model of the progress in achieving the SDGs is carried out. The impact of the COVID-19 pandemic on the economy of Ukraine is studied. Results. The results show that the economic challenges after the COVID-19 pandemic and the war include ethical, social, financial, and legal aspects that meet the requirements of sustainable development, which is a very high priority for the community in Ukraine. Practical implications. A comparative analysis of the activity of Ukrainian enterprises during quarantine is made on the basis of research data and those for official statistics. Value/originality. According to this study, Ukraine will need 5-7 years to regain the potential lost during the COVID-19 pandemic and the war. The actions of the government and the National Bank of Ukraine continue to support the economic mitigation of the negative effects of the war. The research is based on the economic issues that show how the SDGs can be achieved in the country under different policy scenarios, including modernization of production, development of innovation, increasing export potential, and support from the international community, especially the EU and the US. The assessment of the progress in the implementation of the SDGs in Ukraine showed their significant indicators, such as: The share of exports of goods whose production uses technologies of high and medium-high level in the total exports of goods; Ukraine's position as assessed by the Global Innovation Index; the increase in employment; the creation of institutional and financial capacities for self-realization of the potential of the economically active population and the development of the creative economy; Development of high-quality, reliable, sustainable and accessible infrastructure based on the use of innovative technologies, including environmentally friendly means of transport; ensuring the development of sustainable food production systems that contribute to the preservation of ecosystems and the gradual improvement of the quality of land and soil, primarily through innovative technologies; doubling agricultural productivity, primarily through innovative technologies; mobilization of additional financial resources through the promotion of foreign and domestic investment. Other SDGs showed low improvement and likelihood.

As a result of research, the concept of a flexible evolutionary model is proposed, which with the help of machine learning allows obtaining the most successful strategy for the development of human capital. The proposed conceptual and methodological approach to machine learning of the process of assessing human capital of enterprises, taking into account the cognitive psychology of man and reflective attitudes in the human environment, can increase the effectiveness of decision-making in the field of human capital development management. The training involves indicators of return on investment in the individual, in the types of components of human capital, which are characterized by properties (creativity, competence, purposefulness, communication, motivation), where between their varieties there are appropriate reflective relationships. The main difficulty of this approach to the choice of alternative solutions for finding options for the use of human capital is the correct selection of indicators of significance (return) of contributions to the development of types of human capital, on the basis of which cycles occur of systemic learning. This approach can simplify the search for and developments of human capital development strategies, present alternative ways, and simplify management decisions.

Українськими та закордонними дослідниками вже неодноразово наголошувалося на проблематиці внутрішнього контролю у системі фінансового механізму Збройних сил. Проте з огляду на ведення воєнних дій актуальність даного питання значно зросла та містить багато невирішених проблем. А з огляду на стрімке зростання кількості особового складу, розгортання до штатів військового часу багатьох частин та формування нових підрозділів, потенційний прогноз по кількості та обсягу порушень може бути дуже значним. Мета дослідження полягала в тому, щоб проаналізувати ключові елементи, які впливають на прозорість та цілісність, процеси організації контролю у системі фінансового механізму Збройних сил, особливо під час ведення воєнних дій. На підставі проведеного дослідження сформулювати ряд висновків та рекомендацій, які могли б бути використаними Збройними силами та іншими силовими структурами.