Anatolii Yakunin

Висвітлено основні напрямки роботи позашкільного гуртка з математики щодо різносторонньої підготовки потенційних учасників олімпіад та інших заходів з розкриття юних обдарувань. Звернено увагу на адаптацію гурткової роботи до дистанційного навчання в умовах воєнного стану.

Using the method of statistical modeling of pipeline reliability, the statistical model for forecasting the dependence of the failure parameter of pipelines of main heating networks on the service life and diameter was developed and analyzed. This method includes two techniques. The first allows to obtain predictive dependences of pipeline reliability indicators for systems that include sections of different diameters with different service life periods and actual data on damage over several years. The second increases the correctness of the obtained dependences by optimizing the service life step in the study of damage to heat pipes. As a result of the study, the dependence of the reliability of main pipelines on the service life and diameter was established. The condition and forecast values of the specified indicator of reliability of main heat pipelines, and also dynamics and range of its changes are defined. The average value of the failure rate parameter increases from 0.23 1/km year (diameter 300 mm) to 0.62 1/km year (diameter 800 mm), which is 2.7 times larger than the pipes with the diameter 300 mm. The multiplicity of changes in the value of the parameter of the flow of failures was also established in accordance with the change in the diameter of the pipelines. According to the developed statistical model the dependence for calculation of the forecast of quantity of damages of the main heat pipelines according to their service life, diameter and length is established. This will increase the reliability of heating systems and effectively plan the cost of material, technical and labor resources. The given method can be used to assess the forecast of the reliability of pipelines, respectively, of their diameters for other engineering systems and networks

The peculiarities of external quality assurance processes in the higher education management system are considered. It is noted that the quality of educational programs (EP) of higher education institutions is controlled by quality assurance agencies (QAAs) using an accreditation system. The key features of the accreditation process in terms of peer review are identified. The problem of accreditation process management, namely the subjectivity and lack of consistency of expert decisions, is highlighted. The correlation method was applied to determine the interdependencies in expert assessments (competence, meaningful orientation of judgments, and perception of the linguistic rating scale). The identified types of variables make it possible to explain the existing measure of subjectivity that affects the collective conclusion of experts. A comprehensive methodology for quantitative evaluation of the EP quality under conditions of uncertainty based on the relative importance of the relevant criteria and subcriteria, as well as the levels of expert competence using the apparatus of fuzzy mathematics, is proposed. A basic model for the formation of a collegial expert opinion on the EP quality has been developed using the example of a system of quality criteria approved by the Ukrainian QAA. Variations in the expert values of the weight coefficients and parameters of fuzzy numbers in the context of the linguistic rating scale (“A – B – E – F”) made it possible to use the means of a computational experiment. The application of this model will allow managers to positively influence the existing ambiguity of the assessment method, which requires being guided by standard criteria and at the same time determining the EP innovativeness. In general, the application of the proposed evaluation tools on the quality of EP allows experts and managers to make decisions at a higher level of academic and managerial culture.

The role and importance of information and communication technologies (ICT) in city management are analyzed. It is substantiated that the digital component of municipal management is an important element of a sustainable city and ensures the expansion of citizens’ access to basic services. Modeling the assessment of the electronic maturity of the management office of municipal digitalization projects is considered through the prism of the technological maturity model of I. Kendall and K. Rollins. A matrix for assessing the electronic maturity of municipal e-projects, represented by project management knowledge areas and digital ICT characteristics of electronic maturity, has been developed. The results of digital maturity modeling are discussed on the example of the Municipal e-Project Management Office (PMOеМ). Eight levels of PMOеМ maturity are proposed: «I – PMOеМ is able to effectively implement information service projects»; «II – PMOеМ analyzes the organizational aspects of the online services of the municipality»; «III – PMOеМ develops ways to effectively implement online services»; «IV – PMOеМ requires a high level of e-government maturity, opening «fast access» of citizens to e-services»; «V – municipality staff as members of the project team (PMOеМ) ensures the progress of functional efficiency of city smart services»; «VI – PMOеМ is able to provide the vast majority of municipal services using ICT tools»; «VII – PMOеМ provides an expanded range of smart services»; «VIII – all municipal services are provided under the maximum mainstreaming of ICT». The proposed assessment tool will allow the PMOеМ directorate and the top management of IT organizations to conduct a self-assessment of progress in the digital management of municipal e-projects, e-programs and select the actions necessary to move to a higher level of e-maturity.