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Packing Oblique 3D Objects

Author

Listed:
  • Alexander Pankratov

    (Department of Mathematical Modeling and Optimal Design, Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, 2/10, Pozharsky str., 61046 Kharkiv, Ukraine
    Department of Department of Systems Engineering of Kharkiv National University of Radio Electronics, Nauky Ave. 14, 61166 Kharkiv, Ukraine)

  • Tatiana Romanova

    (Department of Mathematical Modeling and Optimal Design, Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, 2/10, Pozharsky str., 61046 Kharkiv, Ukraine
    Department of Department of Systems Engineering of Kharkiv National University of Radio Electronics, Nauky Ave. 14, 61166 Kharkiv, Ukraine)

  • Igor Litvinchev

    (Faculty of Mechanical and Electrical Engineering, Graduate Program in Systems Engineering, Nuevo Leon State University (UANL), 66450 Monterrey, Mexico)

Abstract

Packing irregular 3D objects in a cuboid of minimum volume is considered. Each object is composed of a number of convex shapes, such as oblique and right circular cylinders, cones and truncated cones. New analytical tools are introduced to state placement constraints for oblique shapes. Using the phi-function technique, optimized packing is reduced to a nonlinear programming problem. Novel solution approach is provided and illustrated by numerical examples.

Suggested Citation

  • Alexander Pankratov & Tatiana Romanova & Igor Litvinchev, 2020. "Packing Oblique 3D Objects," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1130-:d:382786
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    References listed on IDEAS

    as
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