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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. 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.
    4. 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.
    5. 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.
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    Cited by:

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    5. 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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    7. 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.

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