The information component of the modern model of border protection in the maritime area is implemented using the integrated information and telecommunication system of the Marine Guard "Gart-12". The use of this system allows to obtain information about the current position of ships, port of departure and port of destination, type of cargo and other additional data. When choosing a vessel in the surface lighting system, it is possible to view the previous points of its route, obtained at certain discrete moments of time. The latter is necessary to establish possible signs of violation of the rules of the border regime by violators of border legislation. In this case, the visualization of the route is carried out using a linear approximation, and a possible violation of the rules of the border regime is established by comparing the route of an individual vessel and a cluster of routes connecting the departure and destination of the vessel. However, the use of linear approximation in the formation of a continuous approximation route of the vessel is questionable and unconfirmed. The influence of the type of approximation in the construction of a continuous route of the vessel through a set of discrete points of the vessel's location at fixed moments of time on the value of the metric used to establish the similarity of the route of two different vessels is investigated. The study involved: the formalization of the studied problem; analysis of the possibility of using linear, piecewise-square approximation, approximation using Lagrange interpolation polynomial and Newton's interpolation polynomial, as well as spline interpolation for its solution; calculation of metrics to establish the degree of similarity of ship routes; testing the hypothesis about the feasibility of applying a linear approximation based on a comparison of the results using different approximation methods. Software-algorithmic implementation of the solution of the researched problem, carried out by the authors, allows to automate the process of hypothesis testing and is the basis for further study of the influence of the type of approximation on the shape of the ship route cluster.

No abstract

No abstract

No abstract

The article is devoted to the analysis of the existing method of clustering of ship routes within the exclusive sea (economic) zone from the standpoint of substantiation of its application or identification of ways to improve it for use in the surface lighting system in the interests of national security at the state border. The study found that the existing method of clustering ship routes can not be explicitly applicable for use in the surface lighting system as a procedural module of the automated data processing system, which would provide a sufficient level of reliability to detect signs of violations of border legislation within the exclusive maritime ( economic) zone. It is also established that the improvement of the method of clustering of routes of ships should address the following issues: definition of such types of approximation for the formation of continuous routes of individual ships, which would provide a sufficient level of reliability of the results on given experimental data sets. time; justification for the choice of such a number of experimental points of location of ships and directly a combination of points that would ensure a sufficient level of reliability of the conclusions formed; study of different metrics to establish the similarity of arbitrary routes of ships from the standpoint of ensuring unambiguous conclusions; adaptation of the proposed tools to the boundary initial conditions of the studied problem; adaptation of the method for the case of arbitrary complexity of the route of vessels; formation of such a method of constructing a reference route within the desired cluster, which would ensure the reproduction of the route in the form of a continuous trajectory