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Decomposition algorithm for geometric objects in 2D packing and cutting problems

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Cybernetics and Systems Analysis Aims and scope

Abstract

A class of basic 2D objects is introduced whose Φ-functions are known, and the decomposition theorem is proved for arbitrary φ-objects whose boundaries are formed by circular arcs and line segments. A step-by-step decomposition algorithm is proposed for arbitrary two-dimensional φ-objects. The algorithm efficiently constructs Φ-functions of arbitrary φ-objects in mathematical and computer modeling of packing and cutting problems. Results of numerical experiments are presented.

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Authors and Affiliations

  1. A. N. Podgornyi Institute of Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, Kharkov, Ukraine

    Yu. G. Stoyan, N. I. Gil’, T. E. Romanova & M. V. Zlotnik

Authors
  1. Yu. G. Stoyan
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  2. N. I. Gil’
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  3. T. E. Romanova
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  4. M. V. Zlotnik
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Corresponding author

Correspondence to M. V. Zlotnik.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 28–37, November–December 2011.

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Stoyan, Y.G., Gil’, N.I., Romanova, T.E. et al. Decomposition algorithm for geometric objects in 2D packing and cutting problems. Cybern Syst Anal 47, 854–862 (2011). https://doi.org/10.1007/s10559-011-9364-9

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  • DOI: https://doi.org/10.1007/s10559-011-9364-9

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