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Manufacturing cell formation under capacity constraints

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  • Xiaolan Xie

Abstract

The cell formation problem is addressed for a manufacturing system containing groups of identical machines. Various part types are produced. The manufacture of a part requires a sequence of operations and each operation can be performed by any machine of a given type. The cell formation problem consists in grouping machines into cells and assigning operations to machines so as to minimize the intercell traffic while satisfying machine capacity constraints and other technical constraints. An important feature of this problem is that machines of the same type may be assigned to different cells. Since the problem is NP‐hard, heuristic solutions are proposed and numerical experiences show that the proposed algorithms lead to near‐optimal solutions.

Suggested Citation

  • Xiaolan Xie, 1993. "Manufacturing cell formation under capacity constraints," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 9(2), pages 87-96, June.
    • Handle: RePEc:wly:apsmda:v:9:y:1993:i:2:p:87-96
    DOI: 10.1002/asm.3150090203
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    Cited by:

    1. 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.
    2. Gravel, Marc & Luntala Nsakanda, Aaron & Price, Wilson, 1998. "Efficient solutions to the cell-formation problem with multiple routings via a double-loop genetic algorithm," European Journal of Operational Research, Elsevier, vol. 109(2), pages 286-298, September.
    3. Nsakanda, Aaron Luntala & Diaby, Moustapha & Price, Wilson L., 2006. "Hybrid genetic approach for solving large-scale capacitated cell formation problems with multiple routings," European Journal of Operational Research, Elsevier, vol. 171(3), pages 1051-1070, June.

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