USE OF MATHEMATICAL APPARATUS OF STUDY OF OPERATIONS TO DETERMINE THE OPTIMAL STRUCTURE OF FORCES FOR LIQUIDATION OF CONSEQUENCES OF LEGACY
DOI:
https://doi.org/10.26906/SUNZ.2021.1.126Keywords:
emergency response, mathematical programming, composition of forces and means of processing the service of radiation, chemical and biological protection and environmental safety of the State Border Guard Service of UkraineAbstract
The subject matter of the article is a process of liquidation of the consequences of the emergency situation in the border detachment of the State Border Guard Service of Ukraine. The goal of the study is the development of a mathematical model of the composition of forces and means of processing the service of radiation, chemical and biological protection and environmental safety of the State Border Guard Service of Ukraine. The tasks to be solved are: to make a mathematical formulation of the problem of determining the composition of the consolidated unit of the service of radiation, chemical and biological protection and environmental safety of the State Border Guard Service of Ukraine by the criterion of maximum efficiency of its units in an emergency situation; to propose the solution of the obtained problem by reducing it to the problem of mathematical programming; on the basis of the received calculation to determine the structure and procedure of comprehensive provision of forces and means of processing of the service of radiation, chemical and biological protection and ecological safety of the State Border Guard Service of Ukraine. General scientific and special methods of scientific knowledge are used. The following results are obtained. The problem of determining the optimal composition of the consolidated unit of the service of radiation, chemical and biological protection and environmental safety of the State Border Guard Service of Ukraine is formulated as a problem of nonlinear integer programming. The objective function of the effectiveness of the actions of the settlement units of the consolidated subdivision in the elimination of the consequences of an emergency in the border detachment is considered as separable and replaced by the corresponding linearized. Conclusions. The task of determining the optimal composition of forces and means of processing the service of radiation, chemical and biological protection and environmental safety of the State Border Guard Service of Ukraine can be reduced to the classic distribution problem of linear programming of the transport type. In order to organize comprehensive support for the actions of settlement units, it is necessary to fulfill the condition of staffing and equipping units corresponds to the closed distribution task of linear programming of the transport typeDownloads
References
Коробка В.П., Гаврилко Є.В. Підрозділи Державної прикордонної служби України в єдиній державній системі цивільного захисту населення й територій / Наука і оборона. – 2011. – No3. – С.17–21.
Хіврич O.В., Литвиненко А.М. Деякі погляди щодо визначення критерію ефективності оптимальної структури сил об'єктових формувань цивільної оборони. / Наукові праці НУХТ –2007. ‒ No 20. – С.69-72.
Хіврич О.В. Вибір показників і критерію ефективності функціонування системи управління цивільним захистом населення і території при ліквідації наслідків надзвичайних ситуацій / О. В. Хіврич, Н. В. Володченкова, А.М. Литвиненко // Харчова промисловість. - 2014. - No 15. - С. 155-159.
Вентцель Е.С. Теория вероятностей / Е. С. Вентцель. – М.: Наука, Физматгиз, 1969 – 576 с.
Акулич И.Л. Математическое программирование в примерах и задачах: Учебное пособие для студентов экономических специальностей. ‒М.: Высш. шк., 1986. ‒319 с.
Хемди А. Таха. Введение в исследование операций. ‒ М: Издательский дом «Вильямс», 2005. ‒912 с.
Вентцель Е. С. Исследование операций / Е. С. Вентцель – М.: Советское радио, 1972. – 552c.
