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Assembly line balancing problems with multi-manned stations: a new mathematical formulation and Gantt based heuristic method

Author

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  • Talip Kellegöz

    (Gazi University, Engineering Faculty)

Abstract

This paper addresses an assembly line balancing problem in which each station is allowed to have more than one worker, with minimization of two objectives: (i) the number of workers used in the line and (ii) the number of stations opened in the line. Each station has an own workpiece, and workers at the same station simultaneously perform different assembly tasks on its workpiece. For solving the balancing problem of these lines, a new mixed integer programming formulation is presented, and then a simulated annealing based heuristic method is proposed. The new formulation requires less number of variables and constraints. The basic property of the proposed heuristic is that it is directly applied to Gantt representations of problem’s solutions. Moreover, the paper includes some important neighborhood generation properties for Gantt representations of solutions. Both methods are compared with existing methods available in the literature. Experimental study indicates that the proposed methods can yield promising results.

Suggested Citation

  • Talip Kellegöz, 2017. "Assembly line balancing problems with multi-manned stations: a new mathematical formulation and Gantt based heuristic method," Annals of Operations Research, Springer, vol. 253(1), pages 377-404, June.
    • Handle: RePEc:spr:annopr:v:253:y:2017:i:1:d:10.1007_s10479-016-2156-x
    DOI: 10.1007/s10479-016-2156-x
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    References listed on IDEAS

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    1. Talip Kellegöz & Bilal Toklu, 2015. "A priority rule-based constructive heuristic and an improvement method for balancing assembly lines with parallel multi-manned workstations," International Journal of Production Research, Taylor & Francis Journals, vol. 53(3), pages 736-756, February.
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    3. Armin Scholl & Robert Klein, 1997. "SALOME: A Bidirectional Branch-and-Bound Procedure for Assembly Line Balancing," INFORMS Journal on Computing, INFORMS, vol. 9(4), pages 319-334, November.
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    6. Scholl, Armin & Becker, Christian, 2006. "State-of-the-art exact and heuristic solution procedures for simple assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 666-693, February.
    7. Özcan, Ugur, 2010. "Balancing stochastic two-sided assembly lines: A chance-constrained, piecewise-linear, mixed integer program and a simulated annealing algorithm," European Journal of Operational Research, Elsevier, vol. 205(1), pages 81-97, August.
    8. Scholl, Armin, 1995. "Balancing and sequencing of assembly lines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9690, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Abolfazl Kazemi & Abdolhossein Sedighi, 2013. "A cost-oriented model for balancing mixed-model assembly lines with multi-manned workstations," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 16(3), pages 289-309.
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    11. Scholl, Armin & Klein, Robert, 1997. "SALOME. a bidirectional branch and bound procedure for assembly line balancing," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 7890, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. Fred Glover, 1990. "Tabu Search—Part II," INFORMS Journal on Computing, INFORMS, vol. 2(1), pages 4-32, February.
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