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Improved integer linear programming formulations for the job Sequencing and tool Switching Problem

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  • Catanzaro, Daniele
  • Gouveia, Luis
  • Labbé, Martine

Abstract

In this article we investigate the job Sequencing and tool Switching Problem (SSP), a NP-hard combinatorial optimization problem arising from computer and manufacturing systems. Starting from the results described in Tang and Denardo (1987), Crama et al. (1994) and Laporte et al. (2004), we develop new integer linear programming formulations for the problem that are provably better than the alternative ones currently described in the literature. Computational experiments show that the lower bounds obtained by the linear relaxation of the considered formulations improve, on average, upon those currently described in the literature and suggest, at the same time, new directions for the development of future exact solution approaches.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:244:y:2015:i:3:p:766-777
    DOI: 10.1016/j.ejor.2015.02.018
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    1. 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.
    2. Crama, Yves & Moonen, Linda S. & Spieksma, Frits C.R. & Talloen, Ellen, 2007. "The tool switching problem revisited," European Journal of Operational Research, Elsevier, vol. 182(2), pages 952-957, October.
    3. Blazewicz, Jacek & Finke, Gerd, 1994. "Scheduling with resource management in manufacturing systems," European Journal of Operational Research, Elsevier, vol. 76(1), pages 1-14, July.
    4. 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.
    5. 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:

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    2. Beezão, Andreza Cristina & Cordeau, Jean-François & Laporte, Gilbert & Yanasse, Horacio Hideki, 2017. "Scheduling identical parallel machines with tooling constraints," European Journal of Operational Research, Elsevier, vol. 257(3), pages 834-844.
    3. Szkatuła, Krzysztof, 2017. "Impact of deadline intervals on behavior of solutions to the random Sequencing Jobs with Deadlines problem," European Journal of Operational Research, Elsevier, vol. 262(1), pages 40-45.
    4. Akhundov, Najmaddin & Ostrowski, James, 2024. "Exploiting symmetry for the job sequencing and tool switching problem," European Journal of Operational Research, Elsevier, vol. 316(3), pages 976-987.
    5. 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.
    6. Khadija Hadj Salem & Vincent Jost & Yann Kieffer & Luc Libralesso & Stéphane Mancini, 2022. "Minimizing makespan under data prefetching constraints for embedded vision systems: a study of optimization methods and their performance," Operational Research, Springer, vol. 22(3), pages 1639-1673, July.
    7. 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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