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Note. Optimal Balancing of U-Shaped Assembly Lines

Author

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  • Timothy L. Urban

    (Quantitative Methods and MIS Department, The University of Tulsa, 600 South College Avenue, Tulsa, Oklahoma 74104)

Abstract

This note presents an integer programming formulation for determining the optimal balance for the U-line line balancing problem. It is shown that this model can optimally solve larger problems than previously reported.

Suggested Citation

  • Timothy L. Urban, 1998. "Note. Optimal Balancing of U-Shaped Assembly Lines," Management Science, INFORMS, vol. 44(5), pages 738-741, May.
    • Handle: RePEc:inm:ormnsc:v:44:y:1998:i:5:p:738-741
    DOI: 10.1287/mnsc.44.5.738
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    References listed on IDEAS

    as
    1. G. J. Miltenburg & J. Wijngaard, 1994. "The U-line Line Balancing Problem," Management Science, INFORMS, vol. 40(10), pages 1378-1388, October.
    2. James R. Jackson, 1956. "A Computing Procedure for a Line Balancing Problem," Management Science, INFORMS, vol. 2(3), pages 261-271, April.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Jayaswal, Sachin & Agarwal, Prashant, 2013. "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.
    2. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2007. "A classification of assembly line balancing problems," European Journal of Operational Research, Elsevier, vol. 183(2), pages 674-693, December.
    3. Agpak, Kursad & Gokcen, Hadi, 2007. "A chance-constrained approach to stochastic line balancing problem," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1098-1115, August.
    4. Suresh Chand & Ting Zeng, 2001. "A Comparison of U-Line and Straight-Line Performances Under Stochastic Task Times," Manufacturing & Service Operations Management, INFORMS, vol. 3(2), pages 138-150, January.
    5. Emel Kızılkaya Aydoğan & Yılmaz Delice & Uğur Özcan & Cevriye Gencer & Özkan Bali, 2019. "Balancing stochastic U-lines using particle swarm optimization," Journal of Intelligent Manufacturing, Springer, vol. 30(1), pages 97-111, January.
    6. Ibrahim Kucukkoc & David Z. Zhang, 2017. "Balancing of mixed-model parallel U-shaped assembly lines considering model sequences," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 5958-5975, October.
    7. Gokcen, Hadi & Ag[caron]pak, Kursad, 2006. "A goal programming approach to simple U-line balancing problem," European Journal of Operational Research, Elsevier, vol. 171(2), pages 577-585, June.
    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. 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.
    10. Masood Fathi & María Jesús à lvarez & Victoria Rodríguez, 2016. "A new heuristic-based bi-objective simulated annealing method for U-shaped assembly line balancing," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 145-169.
    11. Kimms, Alf, 2000. "Balancing u-shaped assembly lines heuristically," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 524, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    12. Sprecher, Arno, 2000. "SALBLIB: Challenging instances for assembly line balancing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 526, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    13. Abdessamad Ait El Cadi & Omar Souissi & Rabie Ben Atitallah & Nicolas Belanger & Abdelhakim Artiba, 2018. "Mathematical programming models for scheduling in a CPU/FPGA architecture with heterogeneous communication delays," Journal of Intelligent Manufacturing, Springer, vol. 29(3), pages 629-640, March.
    14. Bukchin, Yossi & Raviv, Tal, 2018. "Constraint programming for solving various assembly line balancing problems," Omega, Elsevier, vol. 78(C), pages 57-68.
    15. 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.
    16. 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.
    17. Boysen, Nils & Fliedner, Malte, 2008. "A versatile algorithm for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 184(1), pages 39-56, January.
    18. Urban, Timothy L. & Chiang, Wen-Chyuan, 2006. "An optimal piecewise-linear program for the U-line balancing problem with stochastic task times," European Journal of Operational Research, Elsevier, vol. 168(3), pages 771-782, February.
    19. 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.
    20. Zülch, Michael & Zülch, Gert, 2017. "Production logistics and ergonomic evaluation of U-shaped assembly systems," International Journal of Production Economics, Elsevier, vol. 190(C), pages 37-44.

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    3. Sprecher, Arno, 2000. "SALBLIB: Challenging instances for assembly line balancing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 526, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
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