Kalashnikov A. Geometric and computer modelling of equipment assembling of the special vehicles of fast response

The dissertation is dedicated to the task solution of the arrangement of life-saving equipment in the special vehicles of fast response. The mathematical model is three-dimensional optimisation problem of non-convex polyhedron arrangement in the set of parallelepipeds taking into account numerous limitations. Task limitations have been analysed, classified and formalised. New mathematical model of polyhedron arrangement simulation has been developed. Feasible region has been explored in detail and its geometric interpretation has been given. For the task solution new technique has been proposed. Its constituents are: the surface-building technique of 0-level F-function of two arbitrary non-convex polyhedrons for formalisation of geometric conditions of non-crossing; technique of polyhedron arrangement modelling taking into account task limitations; technique of discrete optimisation on the set of arrangements. The proper algorithms and soft-ware have been created which can be used in designing of the special vehicles of fast response for extraordinary situations.