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Optimized Packings in Space Engineering Applications: Part I

In: Modeling and Optimization in Space Engineering

Author

Listed:
  • Yuriy Stoyan

    (Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine)

  • Alexandr Pankratov

    (Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine)

  • Tatiana Romanova

    (Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine)

  • Giorgio Fasano

    (Thales Alenia Space)

  • János D. Pintér

    (Lehigh University)

  • Yurij E. Stoian

    (Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine)

  • Andrey Chugay

    (Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine)

Abstract

Packing optimization problems have a wide spectrum of real-word applications, including transportation, logistics, chemical/civil/mechanical/power/aerospace engineering, shipbuilding, robotics, additive manufacturing, materials science, mineralogy, molecular geometry, nanotechnology, electronic design automation, very large system integration, pattern recognition, biology, and medicine. In space engineering, ever more challenging packing optimization problems have to be solved, requiring dedicated cutting-edge approaches. Two chapters in this volume investigate very demanding packing issues that require advanced solutions. The present chapter provides a bird’s eye view of challenging packing problems in the space engineering framework, offering some insight on possible approaches. The specific issue of packing a given collection of arbitrary polyhedra, with continuous rotations and minimum item-to-item admissible distance, into a convex container of minimum size, is subsequently analyzed in depth, discussing an ad hoc mathematical model and a dedicated solution algorithm. Computational results show the efficiency of the approach proposed. The following (second) chapter examines a class of packing optimization problems in space with consideration to balancing conditions.

Suggested Citation

  • Yuriy Stoyan & Alexandr Pankratov & Tatiana Romanova & Giorgio Fasano & János D. Pintér & Yurij E. Stoian & Andrey Chugay, 2019. "Optimized Packings in Space Engineering Applications: Part I," Springer Optimization and Its Applications, in: Giorgio Fasano & János D. Pintér (ed.), Modeling and Optimization in Space Engineering, pages 395-437, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-10501-3_15
    DOI: 10.1007/978-3-030-10501-3_15
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    Cited by:

    1. Andreas Fischer & Igor Litvinchev & Tetyana Romanova & Petro Stetsyuk & Georgiy Yaskov, 2023. "Quasi-Packing Different Spheres with Ratio Conditions in a Spherical Container," Mathematics, MDPI, vol. 11(9), pages 1-19, April.
    2. Alexander Pankratov & Tatiana Romanova & Igor Litvinchev, 2020. "Packing Oblique 3D Objects," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
    3. Josef Kallrath & Tatiana Romanova & Alexander Pankratov & Igor Litvinchev & Luis Infante, 2023. "Packing convex polygons in minimum-perimeter convex hulls," Journal of Global Optimization, Springer, vol. 85(1), pages 39-59, January.
    4. Romanova, Tatiana & Stoyan, Yurij & Pankratov, Alexander & Litvinchev, Igor & Plankovskyy, Sergiy & Tsegelnyk, Yevgen & Shypul, Olga, 2021. "Sparsest balanced packing of irregular 3D objects in a cylindrical container," European Journal of Operational Research, Elsevier, vol. 291(1), pages 84-100.

    More about this item

    Keywords

    05B40; 52C17; 11H16; 90XX; 90CX; 90C30; 49M37; 90C06; 90C11; 90C26; 90C59; 90C90;
    All these keywords.

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