Quasi-packing different spheres with ratio conditions in a spherical container

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • Andreas Fischer - , Professur für Numerik der Optimierung (Autor:in)
  • Igor Litvinchev - , Universidad Autonoma de Nuevo Leon (Autor:in)
  • Tetyana Romanova - , A. Pidhornyi Institute of Mechanical Engineering Problems (Autor:in)
  • Petro Stetsyuk - , NASU - Glushkov Institute of Cybernetics (Autor:in)
  • Georgiy Yaskov - , A. Pidhornyi Institute of Mechanical Engineering Problems (Autor:in)

Abstract

This paper considers the optimized packing of different spheres into a given spherical container under non-standard placement conditions. A sphere is considered placed in the container if at least a certain part of the sphere is in the container. Spheres are allowed to overlap with each other according to predefined parameters. Ratio conditions are introduced to establish correspondence between the number of packed spheres of different radii. The packing aims to maximize the total number of packed spheres subject to ratio, partial overlapping and quasi-containment conditions. A nonlinear mixed-integer optimization model is proposed for this ratio quasi-packing problem. A heuristic algorithm is developed that reduces the original problem to a sequence of continuous open dimension problems for quasi-packing scaled spheres. Computational results for finding global solutions for small instances and good feasible solutions for large instances are provided.

Details

OriginalspracheEnglisch
Aufsatznummer2033
Seitenumfang19
FachzeitschriftMathematics
Jahrgang11
Ausgabenummer9
PublikationsstatusVeröffentlicht - Mai 2023
Peer-Review-StatusJa

Externe IDs

Scopus 85159210770
WOS 000986944000001
Mendeley d8a41461-8caa-3975-8dec-51158209b7d6

Schlagworte

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Fächergruppen, Lehr- und Forschungsbereiche, Fachgebiete nach Destatis

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Schlagwörter

  • Optimization, Partial overlapping, Quasi-containment, Ratio condition, Sphere packing, Spherical container, spherical container, optimization, partial overlapping, quasi-containment, ratio condition, sphere packing

Bibliotheksschlagworte