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A Lagrangean relaxation based approach for the capacity allocation problem in flexible manufacturing systems

Author

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  • S Özpeynirci

    (İzmir University of Economics)

  • M Azizoğlu

    (Middle East Technical University)

Abstract

This study considers the operation assignment and capacity allocation problem in flexible manufacturing systems. A set of operations is selected to be processed and assigned to the machines together with their required tools. The purchase or usage of the required tools incurs a cost. The machines have scarce time and tool magazine capacities. The objective is to maximize the total weight of the assigned operations minus the total tooling costs. We use Lagrangean relaxation approach to obtain upper and lower bounds on the optimal objective function values. The computational experiments show that our approach provides near optimal bounds in reasonable solution times.

Suggested Citation

  • S Özpeynirci & M Azizoğlu, 2010. "A Lagrangean relaxation based approach for the capacity allocation problem in flexible manufacturing systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 872-877, May.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:5:d:10.1057_jors.2009.19
    DOI: 10.1057/jors.2009.19
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    References listed on IDEAS

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    1. Marshall L. Fisher, 1985. "An Applications Oriented Guide to Lagrangian Relaxation," Interfaces, INFORMS, vol. 15(2), pages 10-21, April.
    2. S Bilgin & M Azizoǧlu, 2006. "Capacity and tool allocation problem in flexible manufacturing systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 670-681, June.
    3. Liang, Ming & Dutta, S. P., 1993. "An integrated approach to the part selection and machine loading problem in a class of flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 67(3), pages 387-404, June.
    4. Toktay, L. Beril & Uzsoy, Reha, 1998. "A capacity allocation problem with integer side constraints," European Journal of Operational Research, Elsevier, vol. 109(1), pages 170-182, August.
    5. D'Alfonso, Thomas H. & Ventura, Jose A., 1995. "Assignment of tools to machines in a flexible manufacturing system," European Journal of Operational Research, Elsevier, vol. 81(1), pages 115-133, February.
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