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Cutting and Reuse: An Application from Automobile Component Manufacturing

Author

Listed:
  • Claudio Arbib

    (Dipartimento di Informatica, Università degli Studi di L'Aquila, via Vetoio, Coppito I-67010 L'Aquila, Italy)

  • Fabrizio Marinelli

    (Dipartimento di Informatica, Università degli Studi di L'Aquila, via Vetoio, Coppito I-67010 L'Aquila, Italy)

  • Fabrizio Rossi

    (Dipartimento di Informatica, Università degli Studi di L'Aquila, via Vetoio, Coppito I-67010 L'Aquila, Italy)

  • Francesco Di Iorio

    (Dipartimento di Matematica Pura e Applicata, Università degli Studi di L'Aquila, via Vetoio, Coppito I-67010 L'Aquila, Italy)

Abstract

This paper presents a decision support tool for solving a cutting and reuse problem arising in a European plant devoted to the production of gear belts. In this production, rectangular pieces of rubberised nylon are cut using machines employing parallel blades, so as to obtain rectangular components of identical height and (possibly) different width. A component is then used to produce a set of belts with the same girth; but, if necessary, the girth required can also be obtained by sewing together two components. The major objectives of optimisation are: trim loss minimisation, quality control, workload equalisation, setup minimisation. The problem, a particular one-dimensional cutting stock with both cutting and reuse decision variables, has been formulated in terms of integer linear programming and then efficiently solved by applying standard packages within a column generation scheme. A significant improvement of performance has been obtained in terms of both economic savings and product quality. This has convinced the management to implement the model in the plant operation.

Suggested Citation

  • Claudio Arbib & Fabrizio Marinelli & Fabrizio Rossi & Francesco Di Iorio, 2002. "Cutting and Reuse: An Application from Automobile Component Manufacturing," Operations Research, INFORMS, vol. 50(6), pages 923-934, December.
    • Handle: RePEc:inm:oropre:v:50:y:2002:i:6:p:923-934
    DOI: 10.1287/opre.50.6.923.348
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    References listed on IDEAS

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    1. P. C. Gilmore & R. E. Gomory, 1961. "A Linear Programming Approach to the Cutting-Stock Problem," Operations Research, INFORMS, vol. 9(6), pages 849-859, December.
    2. Chengbin Chu & Julien Antonio, 1999. "Approximation Algorithms to Solve Real-Life Multicriteria Cutting Stock Problems," Operations Research, INFORMS, vol. 47(4), pages 495-508, August.
    3. P. C. Gilmore & R. E. Gomory, 1963. "A Linear Programming Approach to the Cutting Stock Problem---Part II," Operations Research, INFORMS, vol. 11(6), pages 863-888, December.
    4. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
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    Citations

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    Cited by:

    1. Wang, Danni & Xiao, Fan & Zhou, Lei & Liang, Zhe, 2020. "Two-dimensional skiving and cutting stock problem with setup cost based on column-and-row generation," European Journal of Operational Research, Elsevier, vol. 286(2), pages 547-563.
    2. P A Huegler & J C Hartman, 2007. "Fulfilling orders for steel plates from existing inventory," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1156-1166, September.
    3. Haoqing Wang & Wen Yi, 2022. "Optimization Models for Reducing Off-Cuts of Raw Materials in Construction Site," Mathematics, MDPI, vol. 10(24), pages 1-16, December.
    4. Trkman, Peter & Gradisar, Miro, 2007. "One-dimensional cutting stock optimization in consecutive time periods," European Journal of Operational Research, Elsevier, vol. 179(2), pages 291-301, June.
    5. Maxence Delorme & Manuel Iori, 2020. "Enhanced Pseudo-polynomial Formulations for Bin Packing and Cutting Stock Problems," INFORMS Journal on Computing, INFORMS, vol. 32(1), pages 101-119, January.
    6. Melega, Gislaine Mara & de Araujo, Silvio Alexandre & Jans, Raf, 2018. "Classification and literature review of integrated lot-sizing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 271(1), pages 1-19.
    7. Fabio Furini & Enrico Malaguti & Dimitri Thomopulos, 2016. "Modeling Two-Dimensional Guillotine Cutting Problems via Integer Programming," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 736-751, November.
    8. Luka Tomat & Mirko Gradišar, 2017. "One-dimensional stock cutting: optimization of usable leftovers in consecutive orders," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 473-489, June.
    9. Cherri, Adriana Cristina & Arenales, Marcos Nereu & Yanasse, Horacio Hideki & Poldi, Kelly Cristina & Gonçalves Vianna, Andréa Carla, 2014. "The one-dimensional cutting stock problem with usable leftovers – A survey," European Journal of Operational Research, Elsevier, vol. 236(2), pages 395-402.
    10. Tao Wu & Kerem Akartunal? & Raf Jans & Zhe Liang, 2017. "Progressive Selection Method for the Coupled Lot-Sizing and Cutting-Stock Problem," INFORMS Journal on Computing, INFORMS, vol. 29(3), pages 523-543, August.

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