It is shown that the problem of improving the effectiveness of prevention of emergencies related to the underwater location of explosive objects is relevant. An important and unresolved part of the problem is the lack of a mathematical model of the emergency response process associated with the underwater location of an explosive device in general. Based on this, the object of the study was the elimination of an emergency situation related to the underwater location of explosive objects, and the subject of the study – the process of operational activities of personnel of the underwater demining department of a group of special diving rescue team. The aim of the work is to develop a mathematical model of the emergency response process related to the underwater location of an explosive object as a process of functioning of the system "emergency – special means of underwater demining – diver-sapper", which should be the basis for substantiation of operational and technical recommendations. increasing the efficiency of underwater demining by diver sappers without reducing their level of safety. It is shown that the mathematical model of underwater demining by a diver-sapper is a system of three analytical dependences. The first is a functional that describes the process of underwater demining in the form of a three-factor polynomial model. The second allows us to present this functionality as a set of one-factor models. The third provides the definition of weights in solving a multifactor problem. It is noted that such a model allows to proceed to the substantiation of operational and technical recommendations to the management of the group of special diving works. The advantage of the new scientific result is the ability to obtain both quantitative estimates of the impact of the direct components of the system "diver-sapper – special means of underwater demining – underwater location of an explosive object" and their relationship. The disadvantage is the large number of experimental results that must be obtained to implement the selected plan.
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