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Balance Layout Problems: Mathematical Modeling and Nonlinear Optimization

In: Space Engineering

Author

Listed:
  • Yuriy Stoyan

    (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)

  • Alexander Pankratov

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

  • Anna Kovalenko

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

  • Peter Stetsyuk

    (Glushkov Institute of Cybernetic of the National Academy of Sciences of Ukraine)

Abstract

The paper studies the optimal layout problem of 3D-objects (solid spheres, straight circular cylinders, spherocylinders, straight regular prisms, cuboids and tori) in a container (a cylindrical, a parabolic, or a truncated conical shape) with circular racks. The problem takes into account a given minimal and maximal allowable distances between objects, as well as, behaviour constraints of the mechanical system (equilibrium, moments of inertia and stability constraints). We call the problem the Balance Layout Problem (BLP) and develop a continuous nonlinear programming model (NLP-model) of the problem, using the phi-function technique. We also consider several BLP subproblems; provide appropriate mathematical models and solution algorithms, using nonlinear programming and nonsmooth optimization methods, illustrated with computational experiments.

Suggested Citation

  • Yuriy Stoyan & Tatiana Romanova & Alexander Pankratov & Anna Kovalenko & Peter Stetsyuk, 2016. "Balance Layout Problems: Mathematical Modeling and Nonlinear Optimization," Springer Optimization and Its Applications, in: Giorgio Fasano & János D. Pintér (ed.), Space Engineering, pages 369-400, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-41508-6_14
    DOI: 10.1007/978-3-319-41508-6_14
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    Cited by:

    1. 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.

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