caa a22 4500 605518955 CHVBK 20210128100728.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10559-015-9746-5 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9746-5 Balance Layout Problem for 3D-Objects: Mathematical Model and Solution Methods [Elektronische Daten] [A. Kovalenko, T. Romanova, P. Stetsyuk] The paper introduces a general mathematical model of the optimal layout of 3D-objects (full-spheres, right circular cylinders, right regular prisms, and right rectangular parallelepipeds) in a container (straight circular cylinder, paraboloid of revolution, truncated circular cone) with circular racks. The model takes into account the minimum and maximum admissible distances between objects as well as the behavior constraints of the mechanical system (equilibrium, moments of inertia, and stability constraints). We propose solution methods based on Shor's r-algorithm, multistart algorithm, and accelerated search of terminal vertices of the decision tree. Springer Science+Business Media New York, 2015 balance layout problem nationallicence phi-function nationallicence quasi phi-function nationallicence admissible distances nationallicence behavior constraints nationallicence nonlinear programming nationallicence Shor's r-algorithm nationallicence Kovalenko A. A. N. Podgorny Institute for Mechanical Engineering Problems, National Academy of Sciences of Ukraine, Kharkov, Ukraine aut Romanova T. A. N. Podgorny Institute for Mechanical Engineering Problems, National Academy of Sciences of Ukraine, Kharkov, Ukraine aut Stetsyuk P. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kharkov, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/4(2015-07-01), 556-565 1060-0396 51:4<556 2015 51 10559 https://doi.org/10.1007/s10559-015-9746-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9746-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kovalenko A. A. N. Podgorny Institute for Mechanical Engineering Problems, National Academy of Sciences of Ukraine, Kharkov, Ukraine aut NATIONALLICENCE 700 1- Romanova T. A. N. Podgorny Institute for Mechanical Engineering Problems, National Academy of Sciences of Ukraine, Kharkov, Ukraine aut NATIONALLICENCE 700 1- Stetsyuk P. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kharkov, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/4(2015-07-01), 556-565 1060-0396 51:4<556 2015 51 10559