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Combinatorial design of a minimum cost transfer line

  • Delorme, Xavier
  • Dolgui, Alexandre
  • Kovalyov, Mikhail Y.
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    The problem of equipment selection for a production line is considered. Each piece of equipment, also called unit or block, performs a set of operations. All necessary operations of the line and all available blocks with their costs are known. The difficulty is to choose the most appropriate blocks and group them into (work)stations. There are some constraints that restrict the assignment of different blocks to the same station. Two combinatorial approaches for solving this problem are suggested. Both are based on a novel concept of locally feasible stations. The first approach combinatorially enumerates all feasible solutions, and the second reduces the problem to search for a maximum weight clique. A boolean linear program based on a set packing formulation is presented. Computer experiments with benchmark data are described. Their results show that the set packing model is competitive and can be used to solve real-life problems.

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    Article provided by Elsevier in its journal Omega.

    Volume (Year): 40 (2012)
    Issue (Month): 1 (January)
    Pages: 31-41

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    Handle: RePEc:eee:jomega:v:40:y:2012:i:1:p:31-41
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    1. Dolgui, Alexandre & Guschinsky, Nikolai & Levin, Genrikh, 2006. "A special case of transfer lines balancing by graph approach," European Journal of Operational Research, Elsevier, vol. 168(3), pages 732-746, February.
    2. Guschinskaya, Olga & Dolgui, Alexandre, 2009. "Comparison of exact and heuristic methods for a transfer line balancing problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 276-286, August.
    3. Ruiz-Torres, Alex J. & Ho, Johnny C. & Ablanedo-Rosas, José H., 2011. "Makespan and workstation utilization minimization in a flowshop with operations flexibility," Omega, Elsevier, vol. 39(3), pages 273-282, June.
    4. Ronconi, Débora P. & Henriques, Luís R.S., 2009. "Some heuristic algorithms for total tardiness minimization in a flowshop with blocking," Omega, Elsevier, vol. 37(2), pages 272-281, April.
    5. Dolgui, A. & Ihnatsenka, I., 2009. "Branch and bound algorithm for a transfer line design problem: Stations with sequentially activated multi-spindle heads," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1119-1132, September.
    6. Sarin, Subhash C. & Erel, Erdal & Dar-El, Ezey M., 1999. "A methodology for solving single-model, stochastic assembly line balancing problem," Omega, Elsevier, vol. 27(5), pages 525-535, October.
    7. Sawik, Tadeusz, 2010. "An integer programming approach to scheduling in a contaminated area," Omega, Elsevier, vol. 38(3-4), pages 179-191, June.
    8. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2008. "Assembly line balancing: Which model to use when," International Journal of Production Economics, Elsevier, vol. 111(2), pages 509-528, February.
    9. Dolgui, A. & Guschinsky, N. & Levin, G. & Proth, J.-M., 2008. "Optimisation of multi-position machines and transfer lines," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1375-1389, March.
    10. Gagnon, R. J. & Ghosh, S., 1991. "Assembly line research: Historical roots, research life cycles and future directions," Omega, Elsevier, vol. 19(5), pages 381-399.
    11. Ribas, Imma & Companys, Ramon & Tort-Martorell, Xavier, 2011. "An iterated greedy algorithm for the flowshop scheduling problem with blocking," Omega, Elsevier, vol. 39(3), pages 293-301, June.
    12. Scholl, Armin & Voß, Stefan, 1994. "Simple assembly line balancing : heuristic approaches," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 49132, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    13. Sabuncuoglu, Ihsan & Erel, Erdal & Alp, Arda, 2009. "Ant colony optimization for the single model U-type assembly line balancing problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 287-300, August.
    14. Corominas, Albert & Pastor, Rafael & Plans, Joan, 2008. "Balancing assembly line with skilled and unskilled workers," Omega, Elsevier, vol. 36(6), pages 1126-1132, December.
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