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Large-scale capacitated part-routing in the presence of process and routing flexibilities and setup costs

Author

Listed:
  • M Diaby

    (University of Connecticut)

  • A L Nsakanda

    (Carleton University)

Abstract

We develop a Lagrangean relaxation-based heuristic procedure to generate a near-optimal solution to large-scale capacitated part-routing problems through a cellular manufacturing system with both routing flexibilities and setup times. Several alternate process plans exist for each product. Any given operation can be performed on alternate machines at different costs. The part demands can be satisfied from internal production or through outsourcing. The objective is to minimize the total material handling, production, outsourcing, and setup costs, subject to satisfying all the part demands and not exceeding any of the machine capacity limits. Our computational experiments show that large problems involving several thousand products and decision variables can be solved in a reasonable amount of computer time to within 1% of their optimal solutions. The proposed procedure is general enough to be applied directly or with slight modifications to real-life, industrial-sized problems.

Suggested Citation

  • M Diaby & A L Nsakanda, 2006. "Large-scale capacitated part-routing in the presence of process and routing flexibilities and setup costs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(9), pages 1100-1112, September.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:9:d:10.1057_palgrave.jors.2602072
    DOI: 10.1057/palgrave.jors.2602072
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    References listed on IDEAS

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    1. Rajamani, Divakar & Singh, N. & Aneja, Y. P., 1992. "Selection of parts and machines for cellularization: A mathematical programming approach," European Journal of Operational Research, Elsevier, vol. 62(1), pages 47-54, October.
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    Cited by:

    1. Papaioannou, Grammatoula & Wilson, John M., 2010. "The evolution of cell formation problem methodologies based on recent studies (1997-2008): Review and directions for future research," European Journal of Operational Research, Elsevier, vol. 206(3), pages 509-521, November.
    2. R Bhatnagar & V Saddikuti, 2010. "Models for cellular manufacturing systems design: matching processing requirements and operator capabilities," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 827-839, May.

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