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Optimized Packings in Space Engineering Applications: Part II

In: Modeling and Optimization in Space Engineering

Author

Listed:
  • Yu. Stoyan

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

  • I. Grebennik

    (Kharkov National University of Radio Electronics)

  • T. Romanova

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

  • A. Kovalenko

    (Kharkov National University of Radio Electronics)

Abstract

This chapter, dedicated to a specific packing optimization scenario of considerable interest in space engineering and logistics, follows a previous one appearing in this volume [1]. Although it is presented as the second part of the whole topical discussion proposed, it can be read independently. The layout optimization, with balancing conditions, of a given set of 3D-objects, in a container partitioned by horizontal planes into subcontainers, is considered. We define special combinatorial configurations describing the specific structure of the problem. A mathematical model, based on the combination of the phi-function technique and the introduced configurations, is provided. The model takes into account not only the placement constraints (i.e., nonoverlapping, containment) and the mechanical characteristics of the system but also the combinatorial features relevant to the partitions of the set of objects placed inside the subcontainers. The solution strategy is proposed and the results of numerical experiments are presented.

Suggested Citation

  • Yu. Stoyan & I. Grebennik & T. Romanova & A. Kovalenko, 2019. "Optimized Packings in Space Engineering Applications: Part II," Springer Optimization and Its Applications, in: Giorgio Fasano & János D. Pintér (ed.), Modeling and Optimization in Space Engineering, pages 439-457, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-10501-3_16
    DOI: 10.1007/978-3-030-10501-3_16
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    Cited by:

    1. Alexander Pankratov & Tatiana Romanova & Igor Litvinchev, 2020. "Packing Oblique 3D Objects," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
    2. 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; 90XX; 90CX; 90C30; 49M37; 90C06; 90C26; 90C59; 90C90; 05A10; 20D60; 90C27; 94B25; 97K20;
    All these keywords.

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