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The modular tool switching problem

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  • Raduly-Baka, Csaba
  • Nevalainen, Olli S.

Abstract

This article analyzes the complexity of the modular tool switching problem arising in flexible manufacturing environments. A single, numerically controlled placement machine is equipped with an online tool magazine consisting of several changeable tool feeder modules. The modules can hold a number of tools necessary for the jobs. In addition to the online modules, there is a set of offline modules which can be changed to the machine during a job change. A number of jobs are processed by the machine, each job requiring a certain set of tools. Tools between jobs can be switched individually, or by replacing a whole module containing multiple tools. or a whole module, containing multiple tools can be replaced. We consider the complexity of the problem of arranging tools into the modules, so that the work for module and tool loading is minimized. Tools are of uniform size and have unit loading costs. We show that the general problem is NP-hard, and in the case of fixed number of modules and fixed module capacity the problem is solvable in polynomial time.

Suggested Citation

  • Raduly-Baka, Csaba & Nevalainen, Olli S., 2015. "The modular tool switching problem," European Journal of Operational Research, Elsevier, vol. 242(1), pages 100-106.
    • Handle: RePEc:eee:ejores:v:242:y:2015:i:1:p:100-106
    DOI: 10.1016/j.ejor.2014.09.052
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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. 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. Djellab, Housni & Djellab, Khaled & Gourgand, Michel, 2000. "A new heuristic based on a hypergraph representation for the tool switching problem," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 165-176, March.
    4. Hirvikorpi, Mika & Salonen, Kari & Knuutila, Timo & Nevalainen, Olli S., 2006. "The general two-level storage management problem: A reconsideration of the KTNS-rule," European Journal of Operational Research, Elsevier, vol. 171(1), pages 189-207, May.
    5. 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.
    6. Matzliach, Barouch & Tzur, Michal, 2000. "Storage management of items in two levels of availability," European Journal of Operational Research, Elsevier, vol. 121(2), pages 363-379, March.
    7. Ayob, Masri & Kendall, Graham, 2008. "A survey of surface mount device placement machine optimisation: Machine classification," European Journal of Operational Research, Elsevier, vol. 186(3), pages 893-914, May.
    8. 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.
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    Cited by:

    1. Calmels, Dorothea, 2022. "An iterated local search procedure for the job sequencing and tool switching problem with non-identical parallel machines," European Journal of Operational Research, Elsevier, vol. 297(1), pages 66-85.

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