Sobina V. Rational coverage of given areas by geometric objects with variable metric characteristics

Object - methods optimization coverings of the set areas in space; methods of applied geometry, the system approach, elements of topology, mathematical and geometrical modelling, geometrical designing, elements of the functional analysis, analytical, multivariate, computing and discrete applied geometry; theoretical and practical results - are developed models, a method and ways of geometrical modelling of a rational covering set Areas flat objects with replaceable metric characteristics; scientific novelty - has received the further development the approach to formalization of restrictions in problems optimization coverings of geometrical objects; construction is carried out?-surfaces in problems optimization coverings of the set areas; the general model optimization coverings of areas by geometrical objects with replaceable metric characteristics is developed; the new method and ways optimization is created Coverings of the set area with replaceable metric characteristics also are received by geometrical objects analytical estimations of complexity of data of a method and ways; computer modelling a rational covering of the set areas by geometrical objects with replaceable metric characteristics is carried out; a degree of introduction - central administrative board of the Ministry of Emergency Measures of Ukraine in the Kharkov area, the Kharkov group of the militarized protection of the Southern railway, National university civil Protection of Ukraine; sphere of use - the design organizations for increase of a level of the feasibility report on design decisions; sphere of civil protection for definition of areas of functioning of operative divisions of civil protection