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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
Reference:
Romanova, T.E. and Kovalenko, A.A. (2014), "Phi-funktsyy dlia modelyrovanyia ohranychenyi vkliuchenyia v optymyzatsyonnыkh zadachakh balansnoi komponovky" [Phi-functions for modelling of containment constraints in optimization balance layout problems], Information Processing Systems, Vol. 1(117), pp. 128-133.