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Cybernetics and Systems Analysis

, Volume 54, Issue 2, pp 221–231 | Cite as

Combinatorial Configurations in Balance Layout Optimization Problems

  • I. V. Grebennik
  • A. A. Kovalenko
  • T. E. Romanova
  • I. A. Urniaieva
  • S. B. Shekhovtsov
Article

Abstract

The balance layout optimization problem for a given set of 3D objects in a container divided by horizontal racks into subcontainers is considered. For analytical description of non-overlapping and containment constraints, the phi-function technique is used. Combinatorial configurations describing the combinatorial structure of the problem are defined. Based on the introduced configurations, a mathematical model is constructed that takes into account not only the placement constraints and mechanical properties of the system but also the combinatorial features of the problem associated with generation of partitions of the set of objects placed inside the subcontainers. A solution strategy is proposed. The results of numerical experiments are provided.

Keywords

balance layout combinatorial configurations 3D objects phi-function method mathematical model optimization 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • I. V. Grebennik
    • 1
  • A. A. Kovalenko
    • 1
  • T. E. Romanova
    • 2
  • I. A. Urniaieva
    • 1
  • S. B. Shekhovtsov
    • 3
  1. 1.Kharkiv National University of Radio ElectronicsKharkivUkraine
  2. 2.A. Podgorny Institute for Mechanical Engineering ProblemsKharkivUkraine
  3. 3.Kharkiv National University of Home AffairsKharkivUkraine

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