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An algorithmic framework for tool switching problems with multiple objectives

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  • Furrer, Martina
  • Mütze, Torsten

Abstract

The tool switching problem is a classical and extensively studied problem in flexible manufacturing systems. The standard example is a CNC machine with a limited number of tool slots to which tools for drilling and milling have to be assigned, with the goal of minimizing the number of necessary tool switches and/or the number of machine stops over time. In this work we present a branch-and-bound based algorithmic framework for a very general and versatile formulation of this problem (involving arbitrary setup and processing times) that allows addressing both of these objectives simultaneously (or only of them), and that improves over several known approaches from the literature. We demonstrate the usefulness of our algorithm by rigorous theoretical analysis and by experiments with both large real-world and random instances.

Suggested Citation

  • Furrer, Martina & Mütze, Torsten, 2017. "An algorithmic framework for tool switching problems with multiple objectives," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1003-1016.
    • Handle: RePEc:eee:ejores:v:259:y:2017:i:3:p:1003-1016
    DOI: 10.1016/j.ejor.2016.11.034
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    References listed on IDEAS

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    1. Kathryn E. Stecke, 1983. "Formulation and Solution of Nonlinear Integer Production Planning Problems for Flexible Manufacturing Systems," Management Science, INFORMS, vol. 29(3), pages 273-288, March.
    2. Ann E. Gray & Abraham Seidmann & Kathryn E. Stecke, 1993. "A Synthesis of Decision Models for Tool Management in Automated Manufacturing," Management Science, INFORMS, vol. 39(5), pages 549-567, May.
    3. Christopher S. Tang & Eric V. Denardo, 1988. "Models Arising from a Flexible Manufacturing Machine, Part II: Minimization of the Number of Switching Instants," Operations Research, INFORMS, vol. 36(5), pages 778-784, October.
    4. Christopher S. Tang & Eric V. Denardo, 1988. "Models Arising from a Flexible Manufacturing Machine, Part I: Minimization of the Number of Tool Switches," Operations Research, INFORMS, vol. 36(5), pages 767-777, October.
    5. Catanzaro, Daniele & Gouveia, Luis & Labbé, Martine, 2015. "Improved integer linear programming formulations for the job Sequencing and tool Switching Problem," European Journal of Operational Research, Elsevier, vol. 244(3), pages 766-777.
    6. Crama, Yves, 1997. "Combinatorial optimization models for production scheduling in automated manufacturing systems," European Journal of Operational Research, Elsevier, vol. 99(1), pages 136-153, May.
    7. Caroline Privault & Gerd Finke, 2000. "k-server problems with bulk requests: an application to tool switching in manufacturing," Annals of Operations Research, Springer, vol. 96(1), pages 255-269, November.
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    Cited by:

    1. Dang, Quang-Vinh & van Diessen, Thijs & Martagan, Tugce & Adan, Ivo, 2021. "A matheuristic for parallel machine scheduling with tool replacements," European Journal of Operational Research, Elsevier, vol. 291(2), pages 640-660.

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