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The geographical specificity and the sporadically inhabited territory of any country impede the administrative management of a country. It imposes problems for the optimal management of economy, education, healthcare, elections and other areas. Moreover, as the whole country is divided into numerous optimal administrative geographical regions, districts, cities, towns and villages, their management from one center makes the problem more acute. Effective management of the entire infrastructure of a country depends on the geometric dimensions of these territories, the length of the borders, the number and density of the local population settled in each administrative management territories, and the correct selection of the location of the management centers. Thus, urban, regional, urban, rural, municipal and other governing bodies of each country are formed based on these indicators [1-8]. Nowadays, management issues become difficult, even impossible, without the use of information communication technologies. Taking into account the different features of governance in the management of regions, the automated system management should be, multi-dimensional, multi-level and with distributed structure. Furthermore, the real application of the automated system management in the governance structures of a country will solve the above-mentioned issues much more easily. Evidently, the level of the future system’s structure and information support will depend on the geographical landscape of settlements, the correct distribution of management locations, and at the same time on the human resources of the country. In this regard, the selected case is deemed relevant. An extensive review of the literature was carried out for the precise solution of the issue [110]. The obtained data was analyzed and existing shortcomings were revealed, as a result, the following issue was set.

PROBLEM OF THE OPTIMAL DIVISION OF A COUNTRY'S TERRITORY BASED ON POPULATION SIZE