Mathematical model for determining the optimal location of forest fire and chemical stations taking into account the level of development of transportation networks on the territory of the forest fund

In modern conditions of forest management and forestry the issues of both multipurpose forest management rationality and forests preservation are of particular importance. Forest preservation largely depends on the quality of the system of conservation and protection of forests from fires in general, and on the rational placement of fire-chemical forest stations in particular. Since forest fires are the main destabilizing factor of forest ecosystems the transportation network development within the forest fund area is of particular importance. Consequently, the level of the forest transportation network development should be taken into account to improve and develop the efficiency of forest protection from fires. In this regard, the article indicates the need for the earliest possible elimination of combustion centers in the event of forest fires. The authors determine the causes for failure to deliver ground forces and fire extinguishing means to the fires. Possible options to increase the efficiency of land-based forest protection services are noted and the role of the fire-chemical stations optimal location in this process is indicated. A mathematical model has been developed to determine the optimal location of forest fire-chemical stations, taking into account the level of development of transportation networks on the forest fund area, its advantages and applicable scope are indicated. The methodological investigation is based on the economic and mathematical modeling, probability theory, combinatorics and elements of the queuing theory based on the search for the center of gravity of the streaming process.