The entropy approach construction of the optimal structure of the chain of the automated identification systems basic stations for inland waterways

Abstract

The article deals with a constructive approach based on the entropy for constructing a quasi-optimal chain of automated identification systems (AIS) base stations on the inland waterways. The inland waterways of Russian Federation play an important role in providing the transport process while transporting various types of cargo and passengers. Here is a special way, it is worth noting the info-communication system of the first hierarchical level of the vessel control system. This class of AIS is the most promising for large-scale implementation of the inland waterways of Russian Federation. For the full-fledged operation of such info-communication systems on the inland waterways of Russian Federation, it is necessary to form a continuous information field, formed by sufficient overlapping of the working zones of the operation of AIS base stations connected in a chain. To estimate the optimal number of AIS base stations, we consider inland waterways as a fractal set. Therefore, it is convenient to estimate the number of stations forming a continuous coverage zone in terms of the Hausdorff measure. The problem is to find the minimal quantity of elements of the r-network for different r. This number is calculated by means of r-entropy Hr of the set under consideration. The entropy approach allows us to take into account the phenomenon of collapse of AIS base station coverage zone in case of interference with a useful signal of a spectrum-centered noise. This case corresponds to the entropy H of the set (the limit of Hr when r tends to 0).