Devising a method of discrete search for a plane that crashed by using the Blackwell–Black–Kadan ratio
DOI:
https://doi.org/10.15587/1729-4061.2025.331877Keywords:
Blackwell-Black-Kadan relation, discrete search, search object, search and rescue operation, uniformly optimal search strategyAbstract
The object of this study is the process of searching for a plane that crashed by using search tools. The main hypothesis of the study assumes that the use of a uniformly optimal search strategy in a discrete search zone taking into account the Blackwell-Black-Kadan relation could minimize the average time for detecting a plane that crashed. An optimal Bayesian rule has been formulated, which involves determining the maximum value of the likelihood ratio in the current discrete search sector and comparing it with the threshold. A class of uniformly optimal search strategies has been introduced. A method of discrete search for a plane that crashed has been improved, according to which, unlike in the known analogs:
– the a priori probability of finding the search object in the search sector is taken into account;
– the probability that the search object will be detected when viewing the search sector is calculated;
– the Blackwell-Black-Kadan relations are determined;
– the obtained Blackwell-Black-Kadan values are ranked, and the sequence of the search sectors is examined in accordance with the obtained ranking of the Blackwell-Black-Kadan ratio values.
The average time to detect the search object was estimated. It has been established that when optimizing the search for a plane that crashed, the average search time for the search object is reduced by 12%.
The limitation of the study is a simplified representation of the search area, which is given by a regular discrete grid without taking into account complex terrain or prohibited areas. In addition, external factors such as weather conditions, wind, etc., which may affect the speed and route of the search vehicle, are not taken into account.
The disadvantage of the improved method is its application only for the case of a discrete structure search area
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Copyright (c) 2025 Hennadii Khudov, Illia Hridasov, Igor Ruban, Oleksandr Makoveichuk, Ihor Butko, Vladyslav Khudov, Iurii Ielisov, Volodymyr Maliuha, Mykola Yaloveha, Rostyslav Khudov

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