IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v242y2015i1p100-106.html
   My bibliography  Save this article

The modular tool switching problem

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221714007917
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2014.09.052?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. M. Selim Akturk & Jay B. Ghosh & Evrim D. Gunes, 2003. "Scheduling with tool changes to minimize total completion time: A study of heuristics and their performance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(1), pages 15-30, February.
    6. Renato de Matta & Vernon Ning Hsu & Timothy J. Lowe, 1999. "Capacitated selection problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 19-37, February.
    7. Van Hop, Nguyen & Nagarur, Nagendra N., 2004. "The scheduling problem of PCBs for multiple non-identical parallel machines," European Journal of Operational Research, Elsevier, vol. 158(3), pages 577-594, November.
    8. 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.
    9. 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.
    10. 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.
    11. Yves Crama & Joris van de Klundert, 1999. "Worst‐case performance of approximation algorithms for tool management problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 445-462, August.
    12. Soares, Leonardo Cabral R. & Carvalho, Marco Antonio M., 2020. "Biased random-key genetic algorithm for scheduling identical parallel machines with tooling constraints," European Journal of Operational Research, Elsevier, vol. 285(3), pages 955-964.
    13. Konak, Abdullah & Kulturel-Konak, Sadan & Azizoglu, Meral, 2008. "Minimizing the number of tool switching instants in Flexible Manufacturing Systems," International Journal of Production Economics, Elsevier, vol. 116(2), pages 298-307, December.
    14. Atan, Tankut S. & Pandit, Ram, 1996. "Auxiliary tool allocation in flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 89(3), pages 642-659, March.
    15. Sodhi, Manbir S. & Lamond, Bernard F. & Gautier, Antoine & Noel, Martin, 2001. "Heuristics for determining economic processing rates in a flexible manufacturing system," European Journal of Operational Research, Elsevier, vol. 129(1), pages 105-115, February.
    16. 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.
    17. Wutthisirisart, Phichet & Sir, Mustafa Y. & Noble, James S., 2015. "The two-warehouse material location selection problem," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 780-789.
    18. Akturk, M. Selim & Avci, Selcuk, 1996. "Tool allocation and machining conditions optimization for CNC machines," European Journal of Operational Research, Elsevier, vol. 94(2), pages 335-348, October.
    19. 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.
    20. Christopher S. Tang, 2017. "OM Forum—Three Simple Approaches for Young Scholars to Identify Relevant and Novel Research Topics in Operations Management," Manufacturing & Service Operations Management, INFORMS, vol. 19(3), pages 338-346, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:242:y:2015:i:1:p:100-106. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.