Інформаційні технології

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Application of the matrix factor analysis method for determining parameters of the objective function for transport risk minimization
(Lublin University of Technology, 2021) Zabolotnii, Serhii; Заболотній, Сергій Васильович; Mogilei, Sergii; Могілей Сергій Олександрович
The paper regards a common transport problem with a non-classic optimization criterion to minimize transportation risks. It demonstratesthat the risk parameters of the function could be found through the factor analysis method. Besides, considering that the problem contains several pointsof sending and delivering loads, the method is dealt with as a matrix. The research also regards the algorithm of matrix factor analysis applicationfor determining parameters of the objective function for the problem to be solved. The survey results in a new method to construct the objective functionfor the optimization problem with probability parameters. It generally assists in suggesting a formal solution to such problems, foremost due to particular software.
Applying the Polynomial Maximization Method to Estimate ARIMA Models with Asymmetric Non-Gaussian Innovations
(https://arxiv.org/, 2025) Заболотній, Сергій Васильович; Zabolotnii, Serhii
Classical estimators for ARIMA parameters (MLE, CSS, OLS) assume Gaussian innovations, an assumption frequently violated in financial and economic data exhibiting asymmetric distributions with heavy tails. We develop and validate the second-order polynomial maximization method (PMM2) for estimating ARIMA models with non-Gaussian innovations. PMM2 is a semiparametric technique that exploits higher-order moments and cumulants without requiring full distributional specification. Monte Carlo experiments (128,000 simulations) across sample sizes and four innovation distributions demonstrate that PMM2 substantially outperforms classical methods for asymmetric innovations. For ARIMA(1,1,0) with , relative efficiency reaches 1.58--1.90 for Gamma, lognormal, and innovations (37--47\% variance reduction). Under Gaussian innovations PMM2 matches OLS efficiency, avoiding the precision loss typical of robust estimators. The method delivers major gains for moderate asymmetry () and , with computational costs comparable to MLE. PMM2 provides an effective alternative for time series with asymmetric innovations typical of financial markets, macroeconomic indicators, and industrial measurements. Future extensions include seasonal SARIMA models, GARCH integration, and automatic order selection.
Constructing Reference Plans of Two-Criteria Multimodal Transport Problem
(Transport & Telecommunication Institute, Latvia, 2021) Przystupa, Krzysztof; Qin, Zhang; Zabolotnii, Serhii; Заболотній, Сергій Васильович; Pohrebennyk, Volodymyr; Mogilei, Sergii; Могілей, Сергій Олександрович; Zhongju, Chen; Gil, Leszek
The object of this study is a multicriteria transport problem, being stated for availability of several means of cargo delivery, meaning a multimodal transport problem. The optimization criteria of the multimodal transport problem described above are two objective functions of minimizing total transportation costs and level of transport risks. Three types of transport were selected for research: automobile, rail and river (inland waterway). The results of the study lay the foundation for development of a new valid algorithm for solving multimodal transport problems like multi-criteria optimization ones. The main advantage of such an algorithm lies in its higher potential convergence rate compared to classical numerical optimization methods, which now are predominantly used to solve the problems of this type. This advantage may not be decisive, but it appears to be at least quite an important argument when choosing the method of realization for two-criteria multimodal transport problems earlier considered, especially, in case of a large dimension. Moreover, the algorithm described in the work can be applied to similar problems with any number of types of transport and optimization criteria.
Criteria for evaluation of efficiency of remote administration software
(Видавництво «Молодий вчений», 2021) Кузнецов, Денис; Захарова, Марія В'ячеславівна; Люта, Майя В'ячеславівна
The work is devoted to solving the problem of evaluating the effectiveness of remote administration software (PZVA) according to certain criteria. The concept of efficiency of PZVA is revealed in the work, criteria of efficiency of software, actions and means for their development and use are defined. Efficiency means the ability of software to provide appropriateper formance depending on the number of computingre sources used in the established conditions. Resources may in clude other software, software and hardware configuration of the system and materials. It is noted that efficiency includes a number of characteristics such as time behavior, resource use, and efficiency matching. The advantages of the above-mentioned criteria for evaluating the ELV and their disadvantages that reduce the objectivity of the evaluation of the effectiveness of the software are identified. Another important criterion is also analyzed – the security of the remote administration software. Due to the ever-increasing number of attacks on local area networks, new vulnerabilities in the software are constantly being discovered and, as a result, a new type of attack is emerging. The risks associated with insufficient connection security are considered. In addition, a huge disadvantage of using remote access programs is the defection of the perimeter of the local network. And in this regard, with the incompetent use of such software there is a risk of attackers using remote access programs. Thus, the criteria for the effectiveness of remote administration software are defined in the paper. This will allow to effectively evaluate remote administration software according to certain criteria, increase their quality and reliability, at the stage of system design and development to select software.
Devising an approach to assessing the durability of bus body on a frame chassis
(ПП «ТЕХНОЛОГІЧНИЙ ЦЕНТР», Український державний університет залізничного транспорту, 2023) Ruban, Dmytro; Kraynyk, Lubomyr; Рубан, Ганна Яківна; Ruban, Hanna; Захарова, Марія В'ячеславівна; Zakharova, Maria; Metelap, Volodymyr; Хотунов, Владислав Ігорович; Khotunov, Vladyslav; Михайлюта, Сергій Леонтійович; Mykhaylyuta, Sergiy
The object of this study is the processes and permissible limits of aging of bus bodies on the frame chassis during operation.As a result of research by simulation method, the durability of the bus on the frame chassis, was determined, which is in the range from 5 to 11 years depending on the operating conditions. The study took into account the following factors: passen-ger occupancy, microprofile of the road, bus speed, corrosion. The durability of the bus depends pri-marily on the durability of the frame and body frame. Since the frame is made of alloy steels and heat-treated, it is not repaired but replaced with a new one when cracks in the frame are formed.When determining the durability of the bus on the frame chassis, it was found that the frame has 1.5–1.8 times greater durability than the body frame itself. This is because the frame is made of alloyed materials and has an open structure. The body frame has closed cavities, which provoke the development of corrosion with the accumulation of moisture in them.A feature of the results is that previous studies considered buses only with a load-bearing body structure.The issue of durability of bodies on the frame chassis has been considered. As experience shows, the durability of bus bodies on a frame chassis depends on many operational factors. For operat-ing organizations and manufacturing plants, it is important to provide for the durability of the bus depending on the operating conditions. The results of this study will allow operating organizations to provide for scheduled repairs, as well as take measures to increase the service life of buses during operation. For manufacturing plants, the findings will make it possible to apply rational technologies and materials to form the service life of the bus body.
Estimating parameters of linear regression with an exponential power distribution of errors by using a polynomial maximization method
(ПП «ТЕХНОЛОГІЧНИЙ ЦЕНТР», Український державний університет залізничного транспорту, 2021) Заболотній, Сергій Васильович; Zabolotnii, Serhii; Хотунов, Владислав Ігорович; Khotunov, Vladyslav; Чепинога, Анатолій Володимирович; Chepynoha, Anatolii; Ткаченко, Олександр Миколайович; Tkachenko, Oleksandr
This paper considers the application of a method for maximizing polynomials in order to find estimates of the parameters of a multifactorial linear regression provided the random errors of the regression model follow an exponential power distribution. The method used is conceptually close to a maximum likelihood method because it is based on the maximization of selective statistics in the neighborhood of the true values of the evaluated parameters. However, in contrast to the classical parametric approach, it employs a partial probabilistic description in the form of a limited number of statistics of higher orders. The adaptive algorithm of statistical estimation has been synthesized, which takes into consideration the properties of regression residues and makes it possible to find refined values for the estimates of the parameters of a linear multifactorial regression using the numerical Newton-Rafson iterative procedure. Based on the apparatus of the quantity of extracted information, the analytical expressions have been derived that make it possible to analyze the theoretical accuracy (asymptotic variances) of estimates for the method of maximizing polynomials depending on the magnitude of the exponential power distribution parameters. Statistical modeling was employed to perform a comparative analysis of the variance of estimates obtained using the method of maximizing polynomials with the accuracy of classical methods: the least squares and maximum likelihood. Regions of the greatest efficiency for each studied method have been constructed, depending on the magnitude of the parameter of the form of exponential power distribution and sample size. It has been shown that estimates from the polynomial maximization method may demonstrate a much lower variance compared to the estimates from a least-square method. And, in some cases (for flat-topped distributions and in the absence of a priori information), may exceed the estimates from the maximum likelihood method in terms of accuracy.
Estimation of fuel consumption in standard driving cycles and in real bus operation
(ПП «Технологічний центр», Полтавська державна аграрна академія, 2025) Ruban, Dmytro; Krainyk, Lybomyr; Ruban, Hanna; Рубан, Ганна Яківна; Shevchuk, Viktor; Artyukh, Oleksandr; Mahats, Miron; Sukach, Oleg; Khotunov, Vladyslav; Хотунов, Владислав Ігорович
The object of research is the basic fuel consumption of a bus in standard urban cycles and identical conditions in real operation. Standard driving cycles are used to estimate fuel consumption. This allows consumers to compare buses and choose the best one, and manufacturers in the process of improving buses also allow them to estimate fuel consumption. However, sometimes standards may not correspond to reality. Therefore, specific routes are developed for some cities, which requires significant development costs. This problem is solved by collecting reliable information on average fuel consumption with an operating period of 1 year and bus mileage of 40–90 thousand km. As a rule, operating organizations do not provide such information. The development of electronic control systems allows to obtain information from "black boxes" additionally installed by the manufacturer, which record information throughout the entire service life of the bus. This approach is implemented in this work .Existing standards for determining fuel consumption in urban driving cycles are presented. The results of modeling and real tests are presented. Information was collected from the "black boxes" on fuel consumption on 12 buses for 1 year of operation with mileage from 40 to 90 thousand km on Ataman A092N6 buses. Fuel consumption was 16.4–21.2 l/100 km when operating buses in one city (the manufacturer claims up to 23 l/100 km). This makes it possible to solve the problem of collecting reliable information on fuel consump-tion based on year-round operation of buses, which has not been carried out in this format before.The results of this study will allow operating organizations to see the real fuel consumption on Ataman A092N6 buses in the city. Implementation of this approach on other buses will allow obtaining data for interested organizations in a similar way. This will allow estimating fuel consumption without additional tests, which will reduce research costs.
Estimation of measurand parameters for data from asymmetric distributions by polynomial maximization method (PMM)
(Industrial Research Institute for Automation and Measurements PIAP, 2018) Warsza, Zygmunt Lech; Zabolotnii, Serhii; Заболотній, Сергій Васильович
Przedstawiono sposób wyznaczania estymatorów wartości i niepewności menzurandu niekonwencjonalną metodą maksymalizacji wielomianu stochastycznego (PMM) dla próbki danych pomiarowych pobranych z populacji modelowanej zmienną losową o rozkładzie niesymetrycznym. W metodzie PMM stosuje się statystykę wyższego rzędu i opis z użyciem momentów lub kumulantów. Wyznaczono wyrażenia analityczne dla estymatorów wartości i niepewności standardowej typu A menzurandu za pomocą wielomianu stopnia r = 2. Niepewność standardowa wartości menzurandu otrzymana metodą PPM zależy od skośności i kurtozy rozkładu. Jest ona mniejsza od średniej arytmetycznej wyznaczanej wg przewodnika GUM i bliższa wartości teoretycznej dla rozkładu populacji danych. Jeśli rozkład ten jest nieznany, to estymatory momentów i kumulantów wyznacza się z danych pomiarowych próbki. Sprawdzono skuteczność metody PMM dla kilku podstawowych rozkładów.
Factor analysis method application for constructing objective functions of optimization in multimodal transport problems
(Lublin University of Technology, 2021) Zabolotnii, Serhii; Заболотній, Сергій Васильович; Honcharov, Artem; Гончаров, Артем Володимирович; Mogilei, Sergii; Могілей, Сергій Олександрович
The paper regards a specific class of optimization criteria that possess features of probability. Therefore, constructing objective function of optimization problem, the importance is attached to probability indices that show the probability of some criterial event or events to occur. Factor analysis has been taken for the main method of constructing objective function. Algorithm for constructing objective function of optimization is donefor criterion of minimization risk level in multimodaltransportations that demanded demonstration data. The application of factor analysis in classical problem solution was shown to givethe problem a more distinct analytical interpretation in solving it.
From Black-Box Confidence to Measurable Trust in Clinical AI: A Framework for Evidence, Supervision, and Staged Autonomy
(https://arxiv.org/, 2026) Заболотній, Сергій Васильович; Zabolotnii, Serhii; Holinko, Viktoriia; Antonenko, Olha
Trust in clinical artificial intelligence (AI) cannot be reduced to model accuracy, fluency of generation, or overall positive user impression. In medicine, trust must be engineered as a measurable system property grounded in evidence, supervision, and operational boundaries of AI autonomy. This article proposes a practical framework for trustworthy clinical AI built around three principles: evidence, supervision, and staged autonomy. Rather than replacing deterministic clinical logic wholesale with end-to-end black-box models, the proposed approach combines a deterministic core, a patient-specific AI assistant for contextual validation, a multi-tier model escalation mechanism, and a human supervision layer for verification, escalation, and risk control. We demonstrate that trust also depends on selective verification of clinically critical findings, bounded clinical context, disciplined prompt architecture, and careful evaluation on realistic cases. Classifier-driven modular prompting is examined as an incremental path to scaling clinical depth without sacrificing prompt performance and without waiting for complete rule-based coverage. To operationalize trust, a set of trust metrics is proposed, built on metrological principles -- measurement uncertainty, calibration, traceability -- enabling quantitative rather than subjective assessment of each architectural layer. In this perspective, trustworthy clinical AI emerges not as a property of an individual model, but as an architectural outcome of a system into which evidence trails, human oversight, tiered escalation, and graduated action rights are embedded from the outset.
FROM STATISTICAL PATTERN RECOGNITION TO EMOTION ANALYSYS: APPLICATION OF THE APPARATUS OF DECOMPOSITION IN SPAСE WITH A GENERATING ELEMENT FOR NLP MODELS
(Інститут кібернетики ім. В.М. Глушкова НАН України, 2026) Заболотній, Сергій Васильович; Zabolotnii, Serhii; Чепинога, Анатолій Володимирович; Chepynoha, Anatolii; Хотунов, Владислав Ігорович; Khotunov, Vladyslav
Розпізнавання емоцій у текстах є важливою задачею сучасного оброблення природної мови, де на сьогодні домінують трансформерні архітектури. Однак їхні внутрішні механізми залишаються «чорною скринькою», а якість класифікації, особливо для складних випадків, має потенціал для покращення. У цій роботі запропоновано новий гібридний підхід, який поєднує потужність сучасних мовних моделей з глибоким аналізом їхніх векторних представлень за допомогою адаптації класичного методу статистичного розпізнавання образів, що ґрунтується на розкладі в просторі з порідним елементом (просторі Кунченка). Метод дає змогу згенерувати новий набір «статистико-геометричних» ознак на основі похибки реконструкції векторного представлення текстових повідомлень відповідних класів. Експерименти на українському (EMOBENCH-UA) та англійському (EmoEvent) наборах даних показали, що запропонований гібридний підхід забезпечує статистично значуще підвищення яккості класифікації. Дослідження також виявило ключові умови ефективності методу: він є потужним «уточнювачем» для моделей, донавчених на цільовій задачі, але неефективний на «сирих», неспеціалізованих векторних представленнях. Встановлено, що вибір базисних функцій для реконструкції є важливим гіперпараметром, що дає можливість адаптувати метод до специфічної геометрії простору даних.
Identifying the influence of micro profile of rural roads on the durability of bus body when carrying passengers
(Український державний університет залізничного транспорту, ПП «Технологічний центр», 2025) Ruban, Dmytro; Krainyk, Lybomyr; Ruban, Hanna; Рубан, Ганна Яківна; Khimka, Stepan; Sukach, Oleg; Khotunov, Vladyslav; Хотунов, Владислав Ігорович; Shevchuk, Viktor; Dufanets, Ihor; Artyukh, Oleksandr
The object of this study is the durability of a bus body when passengers are transported on rural roads. According to the European classification, the total length of roads in Ukraine that correspond to the first category does not exceed 5 %. That is, all other 95 % of roads have a quality level that does not meet the regulatory operating conditions. In particular, in rural areas, buses are operated both on worn asphalt-concrete surfaces and on dirt and gravel roads. Such operating conditions additionally lead to intensive wear of buses and significantly worsen the durability of their bodies. The task to determine the influence of worn and dirt roads on the durability of the bus body during passenger transportation in rural areas could be solved by the durability assessment procedure proposed in this paper. The current work presents patterns that make it possible to predict the degradation of the bus body material that affect the durability of the body. The factors of influence during the operation of buses on rural routes have been substantiated and presented. The simulation results show that when operating buses on rural roads, cracks in the body frame of the body occur at runs that are 3.8–13.1 times less than under regulatory operating conditions. The proposed procedure for assessing the durability of a bus body when transporting passengers on rural roads makes it possible to predict the deterioration of the physical and mechanical properties of the elements of the bus body frame and take measures at the design stage to increase their reliability and durability.
Local-First Clinical Text Structuring with Fine-Tuned MedGemma for Readmission Risk Assessment
(https://zenodo.org, 2026) Заболотній, Сергій Васильович; Zabolotnii, Serhii; Holinko, Viktoriia
Background. Unstructured clinical notes remain a bottleneck for deployable healthcare AI; cloud-dependent pipelines raise privacy and infrastructure barriers. Methods. We present MedGemma StructCore, a local-first two-stage extraction pipeline using compact MedGemma 4B models. Stage 1 applies Schema-Guided Reasoning to summarize notes into structured JSON across nine clinical clusters. Stage 2 projects summaries into canonical KVT4 (Cluster|Keyword|Value|Timestamp) facts via a LoRA-adapted model. Deterministic normalization, a signal-integrity gate, and offline hybrid regeneration audit and reduce silent objective signal-loss between stages. Prompt KV-cache reuse yields +10.6% speedup with bit-exact output [Verified]. Results. On MIMIC-IV (N=50,000; patient-level split; Ntest=9,857), the tabular baseline (A4) achieves AUROC 0.685 (95% CI 0.670–0.699) [Verified]. On the full canonical test split (Ntest=9,857), under a constrained training regime (Ntrain=1,500, Nval=400), A3factlevel achieves AUROC 0.659, AUPRC 0.321, and Brier 0.145. Against a fair tabular refit baseline (LogReg and XGBoost) with the same training split and demographic covariates, A3factlevel improves AUPRC and Brier [Verified], while AUROC uplift is small and not statistically verified [Preliminary]. Notably, XGBoost does not outperform logistic regression on the same feature set, confirming that downstream gains are attributable to KVT4 features rather than estimator choice. As a post-closure continuation branch, direct typed downstream fusion of four high-signal semantic labels improves the current Stage 2 baseline on the same canonical split and yields a verified AUPRC gain over the canonical A4 tabular arm [Verified], while remaining near-parity rather than clearly superior to A3factlevel. KVT4 format validity is 99.74%; a signal-integrity audit (N=4,000) finds 15.55% doc-level objective loss (among admissions with Stage 1 numeric vitals/labs), reduced to 8.48% by offline hybrid regeneration without additional LLM calls. Structured-reference validation now includes a large LABS benchmark on the full canonical test split and a preliminary VITALS benchmark path with chartevents-backed BP/Weight evaluation. A model scaling pilot replacing Stage 1 with GPT4.1-mini confirms that moderate LABS micro-F1 (≈0.52 ceiling) reflects reference-alignment mismatch rather than model capacity [Preliminary, N=200]. Conclusion. The primary contribution is reliable, auditable local-first clinical text structuring infrastructure running on consumer hardware. On the canonical test split, factlevel KVT tokenization improves precision–recall and probabilistic accuracy metrics (AUPRC, Brier) over a tabular refit baseline (Verified); AUROC uplift is small (Preliminary). Direct typed downstream fusion now provides the strongest verified continuation path over the current Stage 2 baseline, suggesting that typed semantic signals are a more promising next optimization target than further free-form Stage 2 generator variants. The current revision package therefore supports a conservative conclusion: notes-derived KVT4 facts add useful predictive signal, but stronger extraction-quality and fairness claims still require further validation.
Matrix method of parallel decomposition for minimization of symmetric Boolean functions in the form of extended polynomial
(Черкаський державний технологічний університет, 2018) Бурмістров, Сергій Владиславович; Burmistrov, Sergii; Панаско, Олена Миколаївна; Panasko, Оlena; Ковальська, Н.В.
A matrix method of parallel decomposition in order to minimize symmetric Boolean functions in orthogonal form of representation in the form of extended polynomial by modulus 2 has been developed. Symmetrical Boolean functions are characterized by the fact that they are not minimized in classical form of representation, but well – in the form of Zhegalkin polynomials. Compared to Zhegalkin polynomials, extended polynomials have better indicators of the complexity of implementing digital devices by total coefficient SL (1.49 times) and by total coefficient SAD (2.37 times) due to a slight deterioration of the total coefficient SS (deterioration of 1.293 times). The coefficient SS is less important for the development of digital devices than the coefficients SL and SAD. Another advantage of using extended polynomials consists in the use of the idea of polarization of inputs of Boolean functions. Due to this, this method can be used as a powerful component of complete matrix method of parallel decomposition for obtaining a complex minimal form of Boolean functions, which has the best indicators of the complexity of digital blocks implementation due to a slight decrease in the speed of their work. Unlike Zhegalkin polynomials having only one variant of the minimal form, an extended polynomial can have several minimal forms with the same complexity of implementation, that is essential for minimizing the systems of Boolean functions. An essential feature of implementation of the method consists in the use of ready-made expanded matrices and tables of a complete list of conjunctive sets, which significantly accelerates the process of minimization in time.
Matrix method of receiving the full composition of the groups of relativity of Boolean functions
(Черкаський державний технологічний університет, 2018) Бурмістров, Сергій Владиславович; Burmistrov, Sergii; Panasko, Оlena; Vakulenko, D.V.
The article describes a matrix method for obtaining the full composition of the groups of relativity of Boolean functions on the basis of a universal permutation matrix. This method makes it possible to obtain the full composition of the group of relativity on the basis of one Boolean function of its composition, the name of the group of relativity (the smallest binary number of Boolean function in the group), to construct the minimal form for any of Boolean functions of the group without the process of minimization if at least one function from the group of relativity is already minimized. The phenomenon of the groups of relativity in symbolic logic is due to the problem of numerology. It is due to the fact that all arguments of Boolean function are absolutely equal, but when constructing a truth table, columns must be put in a certain order. As a result, there are large groups of functions having the same properties, because they have the same internal structure. The advantage of group data is that they completely cover the full range of Boolean functions without overlapping one another. This makes it possible to significantly reduce the number of objects studied within the complete set L(n) of all Boolean functions f(n) by examining only one Boolean function from the whole group. The full composition of the group of relativity based on the truth table of the function can be formed by performing two equivalence operations – by rearranging columns of arguments in places or by replacing the arguments columns with their inverses, without changing in both cases the values in the column of the result. It is these actions that underlie the implementation of the method. To simplify the implementation of the method, recursive procedures are replaced by cyclic ones. This method is developed as a working tool for studying the relationships between the groups of relativity in terms of the decomposition of Boolean functions in order to find new effective methods of minimization/
Method of Verification of Hypothesis about Mean Value on a Basis of Expansion in a Space with Generating Element
(Allerton Press, Inc., 2018) Zabolotnii, Serhii; Заболотній, Сергій Васильович; Martynenko, S. S.; Salypa, S. V.
In this paper it is proposed an original method for verification of statistical hypotheses about mean values of random quantities. This method is based on Kunchenko stochastic polynomials tool and probabilistic description on a basis of higher order statistics (moments and/or cumulants). There are represented analytical expressions allowing to optimize decision rules using certain qualitive criterion and calculate decision-making error. It is shown polynomial decision rule in case of polynomial power S = 1 corresponds to classic linear decision rule which is used for comparative analysis. By means of multiple statistical experiments (Monte–Carlo method) obtained results of Neumann–Pierson criterion show proposed polynomial decision rules are characterized by increased accuracy (decrease of the 2nd genus errors probability) in compare to linear processing. The method efficiency increases with increase of stochastic polynomial order increase of degree of random quantities distribution difference from Gaussian probabilities distribution law.
Modernization of self-movable fixing devices based on vernam's cipher analogue
(Черкаський державний технологічний університет, 2018) Бурмістров, Сергій Владиславович; Burmistrov, Sergii; Panasko, Оlena; Laitarov, O.D.
In the article a functional scheme of encryption device, which is the realization of one of the variants of modernization of the Lorenz German stationary encryption machine, is developed. The device works by superposing the ciphertext on the main text of messages. It also has absolute cryptographic stability, provided that it uses conditions similar to those of the Lorentz operation, but does not use the Vernam encryption system. The advantage of the proposed character encryption device is the much more powerful ciphertext alphabet. It consists of (n-1)! times more characters than in Vernam's cipher. This significantly increases the cryptostability of the system. Unlike the Vernaim cipher, in the proposed encryption device, the ciphertext encoding does not equal the decryption ciphertext. Therefore, in order to unify the receiver and transmitting part of the device in its design, it is proposed to introduce an additional block – a block of formation of the reverse ciphertext, which automatically generates ciphertext encoding on the basis of ciphertext decoding. The basis of this project is a special software complex designed to calculate the principle electric circuit of the block of formation of the reverse ciphertext, which automatically generates ciphertext encoding on the basis of ciphertext decoding
Ocena niepewności pomiarów o rozkładzie trapezowym metodą maksymalizacji wielomianu
(Wydawnictwo Czasopism i Książek Technicznych SIGMA-NOT Sp. z o.o., 2017) Warsza, Zygmunt Lech; Zabolotnii, Serhii; Заболотній, Сергій Васильович
The types of measurand parameter estimators derived from samples of measured data taken from a sym. trapezoidal population were briefly reviewed (9 refs.). A non-std. approach to find ests. of the non-Gaussian distributions parameters based on the unconventional method for maximizing the stochastic polynomials by using a moment-cumulant description of random variables was proposed. The method was recommended to use for detg. estd. values of the std. deviation and uncertainties of measurand when distribution of the random errors population is a priori unknown and first few cumulants have to be found from the sample data. The method is particularly useful in assessing mixts. and mixing efficiency.
Optimization of the method of constructing reference plans of multimodal transport problem
(ПП «Технологічний центр», Полтавська державна аграрна академія, 2018) Zabolotnii, Serhii; Заболотній, Сергій Васильович; Mogilei, Sergii; Могілей, Сергій Олександрович
Класична транспортна задача полягає у визначенні оптимального плану перевезень вантажів з пунктів відправки до пунктів доставки за критерієм мінімальної собівартості таких перевезень. Така задача враховує лише один вид транспорту, що в недостатній мірі відповідає практичним потребам сучасних логістичних підприємств. Саме тому об’єктом даного дослідження є класична транспортна задача, по-становка якої враховує наявність кількох засобів доставки вантажу, а саме: автомобільного, залізничного та водного. Транспортну задачу такого типу визначено як мультимодальну. Реалізація мультимодальної транспортної задачі передбачає використання різноманітних чисельних методів та виконується за допомогою програмних засобів. Фактично, концептуальний підхід до її розв’я-зання полягає в простому підборі можливих розв’язків. За умови великої розмірності задачі такий підхід може бути надзвичайно громіздким, а тому потребує певного удосконалення. Під час проведення дослідження було оптимізовано метод побудови опорного плану такої задачі на основі критерію мінімізації кількості чисельних ітерацій, обґрунтовано переваги запропонованого підходу у порівнянні з уже відомими. В основу нового підходу було покладено раніше відомий метод мінімального елемента, що використовується при розв’язанні транспортної задачі, а також проведе-но аналогію із задачею Штейнера. Останнє, в свою чергу, дало змогу означити новий підхід як метод Штейнера. Результатом дослідження є розробка загального алгоритму реалізації запропонованого методу Штейнера. В якості апробації даного алгоритму подано модельний приклад, який демонструє ідентичність результатів розв’язання мультимодальної транспортної задачі всіма розглянутими в роботі способами. Розробка нових методів реалізації мультимодальної транспортної задачі дозволить побудувати ефек-тивні алгоритми розв’язання більш комплексних задач транспортної логістики. Критерій зменшення кількості чисельних ітерацій, застосований на всіх етапах реалізації таких задач, значно скоротить час відшукання їхніх розв’язків.
PMM2-ARIMA Reproducibility Package
(https://zenodo.org, 2025) Заболотній, Сергій Васильович; Zabolotnii, Serhii
This repository provides complete reproducibility materials for the research paper on Polynomial Maximization Method of order 2 (PMM2) for ARIMA parameter estimation. It includes all R scripts, data, and documentation needed to regenerate the empirical results, Monte Carlo simulations, and visualizations presented in the manuscript.

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