Cybernetics And Systems Analysis
International Theoretical Science
Journal
Abstract. The concept of a configuration space of geometric objects is introduced. Its generalized variables are the metric parameters of the spatial form and the parameters of the location of objects. The properties of configuration spaces of complex geometric objects are considered. The structures of configuration spaces for various classes of geometric object placement problems, including packing and covering problems, are analyzed. The concept of Ф-function of geometric objects with variable metrical parameters is generalized.
Keywords: geometric object, configuration space, generalized variables, layout, packing and covering problems.
