DOI 10.51955/2312-1327_2025_3_ 

Grigory A. Gasparyan

Abstract: This paper presents an enhanced method for detecting critical edges in spatial-temporal route networks based on complex network analysis. Unlike previous models, the proposed approach accounts not only for the topological characteristics of routes but also for their dynamic variability through a composite weight that includes the average travel speed and its variance. Additional metrics, such as load centrality and robustness of connectivity, are introduced. Critical edges are automatically identified via percolation analysis, without the need for manual threshold adjustment. For criticality prediction, a gradient boosting model is employed, using a set of structural and temporal features. The proposed approach ensures more accurate, reproducible, and adaptive identification of vulnerable segments in route networks and can be applied in real time to support air traffic management.

Key words: air transportation, airway network, complex networks theory, spatial-temporal network, critical link detection, network centrality, percolation theory.

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DOI 10.51955/2312-1327_2025_3_ 

Nelli M. Romanenko

Eduard A. Bolelov

Anzhela S. Borzova

Abstract. The safety of ground traffic on the airfield movement area is largely determined by the effectiveness of airfield surveillance systems. Currently, radar surveillance systems are used to solve the tasks of monitoring and controlling ground traffic at the airfield. Despite their high technical and tactical characteristics, these systems are subject to the influence of natural and artificial radio interference, which can significantly limit their application for surveillance and traffic control, to the point of making the information unusable. A promising development is a vibroacoustic monitoring system, the functioning of which is based on other physical principles. However, vibroacoustic surveillance systems also have disadvantages, the main of which is the inability to observe a stationary object with the engines turned off. The urgent task is to combine existing and promising surveillance systems into a single integrated system in which the disadvantages of one surveillance system will be compensated by the advantages of another surveillance system. This article discusses the problem of synthesizing algorithms for complex information processing of object movement in the airfield movement area, with the possibility of reconfiguring information channels.

Keywords: integrated processing algorithm, ground movement, airfield movement area, mathematical model, airfield survey radar, surveillance system, multi-position surveillance system, vibroacoustic surveillance system.

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DOI 10.51955/2312-1327_2025_3_

Alexander Yu. Knyazhsky

Sergey V. Baushev

Abstract. This article is the second part of the review of airspace planning systems. The first part provided a comparative analysis of known air situation models: network, probabilistic, load dynamics, expert, air situation development, potentials, entropy. The second part provides a comparative analysis of existing approaches to airspace planning: route synthesis, ATM load management, flight plans optimization, single air conflict resolution, departure/arrival flow planning. The advantages and disadvantages of the analyzed approaches are identified, their classification is proposed based on the physical meaning and completeness of the group.

Keywords: airspace planning, flight planning, air traffic safety, flight plans, air traffic management, air conflicts, air traffic control.

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DOI 10.51955/2312-1327_2025_2_43

Vasiliy N. Ratushniak

Evgeniy N. Garin

Artem M. Mekaev

Andrey V. Lykho

Abstract. Due to the significant increase in the density of traffic flows, especially air ones, technologies of high-precision spatial determination of air objects are increasingly being introduced into ground-based radio engineering transport control systems. The article presents the synthesis and formation of the required directivity diagram of a small aperture antenna array of a vertical sounding radar (VS radar). The task of increasing the accuracy of measuring the angular coordinates of air objects and implementing super-resolution in a VS radar with a small-element antenna array requires solving serious problems associated, first of all, with the formation of the amplitude-phase distribution of the probing signal on the physical elements of the small-element antenna array in conjunction with virtual antenna elements, provided that the energy potential and signal-to-noise ratio at the receiver output are sufficient under conditions of a small antenna aperture and pulse power of the probing signal. The use of VS radar data as part of surveillance radars will ensure the overlap of the blind zone of the dead funnel of the surveillance radar, and thus form a continuous radar field in the upper hemisphere of space.

Key words: surveillance radar station, low-element antenna arrays, angular super-resolution, signal processing methods, radar application efficiency.

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DOI 10.51955/2312-1327_2025_1_86

Alexander Yu. Knyazhsky

Sergey V. Baushev

Abstract. In the general air traffic management system, one of the main functions is performed by the airspace planning (ASP) subsystem, which carries out preliminary (strategic), daily (pre-tactical) and current (tactical) planning with the required quality indicators, the values of which depend on the location and tasks of the aerodrome.

The paper is the first part of the review of existing airspace planning systems. The purpose of the study is to review and comparatively analyze existing air traffic models. Currently, the following air situation models are known: network, probabilistic, load dynamics, expert, air situation development, potentials, entropy. The paper provides an overview of them, identifying their advantages and disadvantages. These models are used to predict air traffic intensity, calculate the shortest routes, form the order of departures and arrivals of aircraft. However, the increase in requirements for airspace capacity and the need to ensure a high level of air traffic safety, with restrictions on aircraft flight parameters, fuel consumption and other indicators of air traffic service quality creates a problematic situation, which, at present, has not been resolved in the existing airspace planning systems. The use of existing models in high-intensity air traffic leads to a significant increase in average fuel consumption, which is why they need to be improved.

Keywords: air situation models, airspace planning, ASP, air traffic safety, fuel consumption, trajectories.

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DOI 10.51955/2312-1327_2025_1_64

Nguyen Ngoc Hoang Quan

Vladimir N. Nechaev

Vyacheslav B. Malygin

Abstract. The optimization of air traffic service (ATS) route networks is an effective approach to improving the structure of airspace, increasing its capacity, and reducing air traffic congestion. This paper presents a mathematical model and a method for optimizing ATS route networks based on the A-star algorithm, applied to the area control center Ho Chi Minh (ACC HCM) airspace. The ACC HCM airspace (one of the two ACC airspaces in Vietnam) ranks among the leading airspaces in Southeast Asia in terms of both size and workload. The objective function of the model is to minimize the total length of each ATS route within the studied airspace by systematically addressing specific constraints and optimizing the spatial configuration of ATS routes to ensure the most efficient passage within the given parameters. The calculation results demonstrate the potential of the proposed approach in increasing the airspace capacity, reducing air traffic congestion and operating costs, while maintaining the required level of safety.

Keywords: mathematical model, A-star algorithm, optimization of the ATS route network, air traffic, ACC HCM airspace, minimization of the total length of ATS routes.

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DOI 10.51955/2312-1327_2024_4_93

Alexander P. Plyasovskih

Artem V. Koposov

Alexandra A. Katricheva 

Abstract. The article proposes a mathematical model for validation of messages of automatic dependent surveillance of broadcasting type (ADS-B). The relevance of the study is due to the growing requirements for the security and reliability of information systems, as well as the need to ensure the integrity and reliability of transmitted information in the context of modern threats. The paper presents the main components of the model, including information sources, data transmission channels and error detection mechanisms. The proposed model describes the processes occurring in the ADS-B systems, taking into account artificial and natural interference that affects the reliability of surveillance information, allows you to predict the actions of intruders trying to violate the integrity of the ADS-B systems, and to predict the operation of the ADS-B system under interference, provides the possibility of developing effective methods to validate ADS-B messages in the terminal area. Thus, the presented mathematical model for validating ADS-B messages serves as an important step towards improving the reliability of information systems and protecting critical information from unauthorized access and distortion.

Keywords: ADS-B, time difference, model, validation.

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DOI 10.51955/2312-1327_2024_3_76

Dmitry Y. Urbansky

Abstract. The use of modern surveillance equipment in accordance with ICAO recommendations is aimed at improving the efficiency of air transportation, increasing the capacity of airspace and airfields, and improving the safety of flights and ground operations. The introduction in the Russian Federation of a multi-position surveillance system (MPSS) based on automatic dependent surveillance of the broadcast type (ADS-B) is intended to facilitate the implementation of state and regional aviation development programs in terms of creating conditions for improving flight safety, availability and quality of air navigation services for airspace users. Therefore, the analysis of the principles of constructing a working area and processing navigation information in a multi-position surveillance system for improving the accuracy of aircraft position-fixing is an urgent research task. An approach to improving the efficiency of the MPSS operation when processing information in conditions of noise and interference has been considered. Analysis of the results of modeling the proposed algorithm based on the discrete Kalman filter shows high accuracy of estimating the planned coordinates of an aircraft. Specialized software has been developed to automate the process of calculating and constructing working areas of a multi-position surveillance system.

Keywords: multi-position surveillance system, multilateration technology, automatic dependent surveillance, Kalman filter, working area, location, least squares method.

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DOI 10.51955/2312-1327_2024_2_96

Vyacheslav V. Erokhin

Boris V. Lezhankin

Dmitry Y. Urbansky 

Abstract. Air traffic management (ATM) in regional air traffic control centers is determined by the availability of surveillance equipment that uses the radar principle of determining the coordinates of aircraft. The responsibility zones of the airspace are vast territories where the placement of radar surveillance equipment forming a single control field is not economically feasible. The presence of local areas of space with no air traffic surveillance significantly reduces the safety, regularity and efficiency of flights. The introduction of new technologies that require significantly lower economic costs needs an assessment of the possibility to use them in the relevant regional ATM centers. Therefore, an urgent scientific task is to study the possibility of using multi-position surveillance systems (MPSS) as an assessment of the accuracy characteristics and locations of system elements. The obtained research results can be applied when placing MPSS ground stations to achieve high performance indicators of the surveillance system and air traffic management as a whole.

Keywords: multi-position surveillance system, multilateration, receiving station, working area, location.

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