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The U-line Line Balancing Problem


Author Info

  • G. J. Miltenburg

    (Faculty of Business, McMaster University, Hamilton, Ontario, Canada L8S 4M4)

  • J. Wijngaard

    (Eindhoven University of Technology, Eindhoven, The Netherlands)

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    The traditional line balancing (LB) problem considers a production line in which stations are arranged consecutively in a line. A balance is determined by grouping tasks into stations while moving forward (or backward) through a precedence network. Recently many production lines are being arranged in a "U-line," as a consequence of the use of just-in-time production principles in many factories. In this paper the U-line LB problem is introduced and modelled, and solution procedures are developed. It more complex than the traditional LB problem because tasks can be grouped by moving forward, backward, or simultaneously in both directions, through the precedence network. We also show how solution techniques developed for the traditional LB problem can be adapted for use with the new problem. Some computational results for well-known problems from the literature are given.

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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 40 (1994)
    Issue (Month): 10 (October)
    Pages: 1378-1388

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    Handle: RePEc:inm:ormnsc:v:40:y:1994:i:10:p:1378-1388

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    Cited by:
    1. 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.
    2. Bautista, Joaquín & Pereira, Jordi, 2011. "Procedures for the Time and Space constrained Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 212(3), pages 473-481, August.
    3. Nils Boysen & Malte Fliedner & Armin Scholl, 2007. "Sequencing mixed-model assembly lines: Survey, classification and model critique," Jena Research Papers in Business and Economics - Working and Discussion Papers 02/2007, Friedrich-Schiller-University Jena, School of Economics and Business Administration.
    4. Scholl, Armin & Boysen, Nils, 2009. "Designing parallel assembly lines with split workplaces: Model and optimization procedure," International Journal of Production Economics, Elsevier, vol. 119(1), pages 90-100, May.
    5. Chiang, Wen-Chyuan & Urban, Timothy L., 2006. "The stochastic U-line balancing problem: A heuristic procedure," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1767-1781, December.
    6. 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.
    7. Gokcen, Hadi & Agpak, Kursad & Benzer, Recep, 2006. "Balancing of parallel assembly lines," International Journal of Production Economics, Elsevier, vol. 103(2), pages 600-609, October.
    8. Aase, Gerald R. & Olson, John R. & Schniederjans, Marc J., 2004. "U-shaped assembly line layouts and their impact on labor productivity: An experimental study," European Journal of Operational Research, Elsevier, vol. 156(3), pages 698-711, August.
    9. Jayaswal, Sachin & Agarwal, Prashant, . "Balancing U-Shaped Assembly Lines with Resource Dependent Task Times: A Simulated Annealing Approach," IIMA Working Papers WP2013-11-06, Indian Institute of Management Ahmedabad, Research and Publication Department.
    10. Miltenburg, John, 1998. "Balancing U-lines in a multiple U-line facility," European Journal of Operational Research, Elsevier, vol. 109(1), pages 1-23, August.
    11. Kara, Yakup & Paksoy, Turan & Chang, Ching-Ter, 2009. "Binary fuzzy goal programming approach to single model straight and U-shaped assembly line balancing," European Journal of Operational Research, Elsevier, vol. 195(2), pages 335-347, June.
    12. Nakade, Koichi & Ohno, Katsuhisa, 2003. "Separate and carousel type allocations of workers in a U-shaped production line," European Journal of Operational Research, Elsevier, vol. 145(2), pages 403-424, March.


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