MATHEMATICAL MODEL OF SEARCH AND RESCUE OPERATION TO SAVE PEOPLE IN THE SEA AREA OF RESPONSIBILITY OF UKRAINE
https://doi.org/10.33815/2313-4763.2019.1.20.012-019
Abstract
The sea area of responsibility of Ukraine includes a certain zone of the Black Sea and the Аzov Sea. When modeling search and rescue operation to save people at sea, the mathematical models have been compiled: changes of the temperature of bodies in water, monthly temperature fluctuation for the Black Sea and the Аzov Sea. Newton-Richmann’s law was used to compose a mathematical model of changing human body temperature in water. The graphs of the dependence of change in temperature of human body in water for different water temperatures for the values of heat emission coefficient as a function of difference of temperatures have been composed. The monthly analysis of water temperature fluctuations in the Black Sea and in the Аzov Sea has been conducted. A graph of water temperature fluctuations in the Azov Sea is constructed and a corresponding approximating polynomial is given. The values of maximum possible time of human stay are certain in the Аzov Sea and in the Black Sea (monthly) that substantially depend on a season. The mathematical model of water temperature fluctuations in the Black Sea and the mathematical model of water temperature fluctuations in the Azov Sea are given. The analysis of work of rescue operations has shown that increasing of efficiency of rescue operations is proposed to be obtained by increasing the percentage of coastline closure by creating additional rescue facilities-based stations and by increasing the number of speed boats. During the organization of search and rescue operations, in addition to reducing the time for collecting applications, processing them, making a decision to conduct the operation, as well as reducing the time spent by the rescue vessel to cover the distance between it and the emergency vessel, it is necessary first to take into account the available time for rescue people. It is proposed to increase the efficiency of rescue operations by increasing the percentage of coastline closure by creating additional rescue facilities based outposts and increasing the number of speed boats. The absolute and percentage quantitative values have been received by which the level of efficiency of the state-owned enterprise «Marine Search and Rescue Service» can be increased.
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