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  5. Phi-functions for modeling of containment constraints in optimization balance layout problems

Phi-functions for modeling of containment constraints in optimization balance layout problems

T.Е. Romanova, A.А. Kovalenko
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In order to model containment constraints for layout of cylinders, parallelepipeds, right prisms and spheres into a cylindrical, a parabolic container as well as into a truncated cone in an analytical form we derive a complete class of phi-functions.
Keywords: 3D-objects, layout problem, mathematical modeling, phi-function, containment constraints