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A 3D optimization algorithm for sustainable cutting of slabs from ornamental stone blocks

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  • Elkarmoty, Mohamed
  • Bonduà, Stefano
  • Bruno, Roberto

Abstract

Ornamental stones are natural building materials, extracted from quarries, which need to be cut and processed sustainably. Natural discontinuities adversely affect the sawing/cutting of blocks into commercial-size slabs. This work presents a 3D optimization algorithm for the sawing/cutting of ornamental stone blocks. The developed algorithm is based on 3D modeling of discontinuities as data input. The algorithm search for the intersection between a 3D cutting grid formed of a determined size of slabs and the model of discontinuities leading to calculate the recovery ratio considering several cutting orientations and displacements of the 3D cutting grid. The algorithm was coded in a program named SlabCutOpt that allows speed problem solving. SlabCutOpt was implemented on a real case study of a commercial-size limestone block extracted from a quarry in Italy. A number of 37 different commercial-sizes of slabs forming 37 cutting grids were tested to investigate the optimum results in geo-environmental direction (recovery ratio) and economic direction (revenue). The findings revealed that a certain slab size gave the optimum recovery ratio, whilst another slab size provided the optimum revenue.

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  • Elkarmoty, Mohamed & Bonduà, Stefano & Bruno, Roberto, 2020. "A 3D optimization algorithm for sustainable cutting of slabs from ornamental stone blocks," Resources Policy, Elsevier, vol. 65(C).
    • Handle: RePEc:eee:jrpoli:v:65:y:2020:i:c:s0301420719305720
    DOI: 10.1016/j.resourpol.2019.101533
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    References listed on IDEAS

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    1. Macedo, Dione & Mori Junior, Renzo & Pimentel Mizusaki, Ana Maria, 2017. "Sustainability strategies for dimension stones industry based on Northwest region of Espírito Santo State, Brazil," Resources Policy, Elsevier, vol. 52(C), pages 207-216.
    2. Marras, Graziella & Careddu, Nicola, 2018. "Sustainable reuse of marble sludge in tyre mixtures," Resources Policy, Elsevier, vol. 59(C), pages 77-84.
    3. Careddu, Nicola & Siotto, Giampaolo & Siotto, Riccardo & Tilocca, Caterina, 2013. "From landfill to water, land and life: The creation of the Centre for stone materials aimed at secondary processing," Resources Policy, Elsevier, vol. 38(3), pages 258-265.
    4. Careddu, Nicola, 2019. "Dimension stones in the circular economy world," Resources Policy, Elsevier, vol. 60(C), pages 243-245.
    5. Carvalho, J. & Lopes, C. & Mateus, A. & Martins, L. & Goulão, M., 2018. "Planning the future exploitation of ornamental stones in Portugal using a weighed multi-dimensional approach," Resources Policy, Elsevier, vol. 59(C), pages 298-317.
    6. Cavallo, Alessandro, 2018. "Serpentinitic waste materials from the dimension stone industry: Characterization, possible reuses and critical issues," Resources Policy, Elsevier, vol. 59(C), pages 17-23.
    7. Careddu, Nicola & Siotto, Giampaolo, 2011. "Promoting ecological sustainable planning for natural stone quarrying. The case of the Orosei Marble Producing Area in Eastern Sardinia," Resources Policy, Elsevier, vol. 36(4), pages 304-314.
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    1. Şirin, Ece & Bonduà, Stefano & Elkarmoty, Mohamed, 2021. "Environmental and economic optimization for block cutting of dimension stones in a limestone quarry," Resources Policy, Elsevier, vol. 74(C).
    2. Elkarmoty, Mohamed & Bonduà, Stefano & Bruno, Roberto, 2020. "A 3D brute-force algorithm for the optimum cutting pattern of dimension stone quarries," Resources Policy, Elsevier, vol. 68(C).

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