Vol 30, No 1 (2024)

The article is devoted to the construction of simulation models of customer delay in the queue in the form of a queuing system (QS) described by both ordinary and right-shifted hyper-Erlang and second-order Erlang distributions. This article is a logical continuation ofprevious works devoted to the construction of numerical-analytical QS models with shifted distribution laws. In the article, the Erlang distribution is considered as a special case of the more general Gamma distribution law, in contrast to the normalized Erlang distribution. These two forms of the Erlang distribution differ in numerical characteristics, except for the coefficient of variation. To solve the problem, the system of discrete-event modeling GPSS WORLD was used.

The results of an analysis of the functioning of the electronic document management system in the context of the development of methods and means of cryptanalysis and an avalanche increase in the number of processed documents are presented. A conceptual model and method for decomposing the storage subsystem into contours of operational and long-term storage of electronic documents are proposed. A mathematical model of hierarchical control of the integrity of electronic documentsis presented, which takes into account the integrative properties of electronic documents, as well as requirements for storage periods and information security. The methodology and results of assessing the advantages of the developed technical solution based on the logical-probabilistic method are presented.

The article presents a technique for creating and training an artificial neural network to recognize network traffic anomalies using relatively small samples of collected data to generate training data. Various data sources for machine learning and approaches to network traffic analysis are considered. There are data format and the method of generating them from the collected network traffic is described, as well as the steps of the methodology in detail. Using the technique, an artificial neural network was created and trained for the task of recognizing anomalies in the network traffic of the ICMP protocol. The results of testing and comparing various artificial neural network configurations and learning conditions for a given task are presented. The artificial neural network trained according to the method was tested on real network traffic. The presented technique can be applied without requiring changes to detect anomalies of various network protocols and network traffic using a suitable parameterizer and data markup.

A method has been developed for localizing spatiotemporal patterns observed in sequentially recorded biomedical images of laser scanning microscopy and reflecting the dynamics of the biological structures under study. By means of interpolation by radial basis functions of each individual image, a compact mathematical model of the space-time dynamics of the brightness function on a sequence of images is obtained. The subsequent localization of the structures of the sought-for dynamic patterns is carried out by means of the mathematical apparatus of singular spectral analysis. The results of experiments on optical visualization of the activity patterns of the olfactory bulb of a macrosmatic (rat) confirmed the efficiency of the developed method for localizing the reaction to biomarkers of human oncological diseases.

One of the key factors of successful learning is the control of mastering the material that has been passed, which can be implemented, including by performing control test tasks.

The work is devoted to the use of the desktop publishing system LuaLaTeX to automate the process of forming test control papers. The control generated with its help includes a set number of randomly selected test tasks on the specified topics, followed by mixing both the questions themselves and their answer options. Each generated control work is personalized, i.e. generated directly for a specific student, and is a control work in the form of a PDF-document.

To achieve the goal of the work, the capabilities of the LuaLaTeX publishing system are used, which include: the Lua scripting language, which is used to form a pool of control work tasks and personalize it; the TeX language is used to design the content of the control work being formed; the capabilities of the PDF format, including the JavaScript programming language, implement automated verification of control work, demonstration of correct answers to questions, preservation of the test result and provide additional security, which consists in the use of hashes instead of correct answers to tasks and a password.

As a practical significance of the proposed solution, we can note an increase in the efficiency of the process of controlling the development of the material passed by students by minimizing the speed of preparation of test control works and their verification, as well as the use of a minimum software tools for its implementation.