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Balancing of mixed-model two-sided assembly lines with underground workstations: A mathematical model and ant colony optimization algorithm

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  • Kucukkoc, Ibrahim
  • Li, Zixiang
  • Karaoglan, Aslan D.
  • Zhang, David Z.

Abstract

Mixed-model assembly lines allow the production of different product variants in mass quantities on the same assembly line. In studies addressing mixed-model assembly with two-sided lines, assembly line (work)stations are classified as left-side or right-side stations depending on the operation side to which they are allocated. However, underground stations are also utilized in industry to perform tasks that need to be done underneath the product being assembled on the line. This paper introduces and mathematically formulates a mixed-model, two-sided assembly line balancing problem considering underground stations. The precedence relationships between tasks being performed in the three types of stations are defined and considered in the model. A numerical example is solved in GAMS (with CPLEX solver) and the detailed balancing solution is provided. A new ant colony optimization algorithm, in which the parameters are optimized using response surface methodology, is also developed to solve real-world problems. A total of 78 test problems are derived from the literature and their lower bounds are calculated to test the performance of the ACO algorithm. ACO finds optimum solutions for the majority of small and medium-sized test problems. In comparing the ACO results to the lower bounds for the large-sized problems, ACO finds near -optimum solutions in majority of the test cases.

Suggested Citation

  • Kucukkoc, Ibrahim & Li, Zixiang & Karaoglan, Aslan D. & Zhang, David Z., 2018. "Balancing of mixed-model two-sided assembly lines with underground workstations: A mathematical model and ant colony optimization algorithm," International Journal of Production Economics, Elsevier, vol. 205(C), pages 228-243.
    • Handle: RePEc:eee:proeco:v:205:y:2018:i:c:p:228-243
    DOI: 10.1016/j.ijpe.2018.08.009
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    References listed on IDEAS

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    1. F. Brian Talbot & James H. Patterson, 1984. "An Integer Programming Algorithm with Network Cuts for Solving the Assembly Line Balancing Problem," Management Science, INFORMS, vol. 30(1), pages 85-99, January.
    2. Nick T. Thomopoulos, 1967. "Line Balancing-Sequencing for Mixed-Model Assembly," Management Science, INFORMS, vol. 14(2), pages 59-75, October.
    3. Hu, Xiaofeng & Wu, Erfei & Jin, Ye, 2008. "A station-oriented enumerative algorithm for two-sided assembly line balancing," European Journal of Operational Research, Elsevier, vol. 186(1), pages 435-440, April.
    4. 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.
    5. Otto, Alena & Scholl, Armin, 2011. "Incorporating ergonomic risks into assembly line balancing," European Journal of Operational Research, Elsevier, vol. 212(2), pages 277-286, July.
    6. Marco Dorigo & Thomas Stützle, 2010. "Ant Colony Optimization: Overview and Recent Advances," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 227-263, Springer.
    7. .Ilker Baybars, 1986. "A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem," Management Science, INFORMS, vol. 32(8), pages 909-932, August.
    8. 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.
    9. 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.
    10. Becker, Christian & Scholl, Armin, 2009. "Balancing assembly lines with variable parallel workplaces: Problem definition and effective solution procedure," European Journal of Operational Research, Elsevier, vol. 199(2), pages 359-374, December.
    11. Battaïa, Olga & Dolgui, Alexandre, 2013. "A taxonomy of line balancing problems and their solutionapproaches," International Journal of Production Economics, Elsevier, vol. 142(2), pages 259-277.
    12. Abdolreza Roshani & Davide Giglio, 2017. "Simulated annealing algorithms for the multi-manned assembly line balancing problem: minimising cycle time," International Journal of Production Research, Taylor & Francis Journals, vol. 55(10), pages 2731-2751, May.
    13. Kucukkoc, Ibrahim & Zhang, David Z., 2014. "Mathematical model and agent based solution approach for the simultaneous balancing and sequencing of mixed-model parallel two-sided assembly lines," International Journal of Production Economics, Elsevier, vol. 158(C), pages 314-333.
    14. Emde, Simon & Boysen, Nils & Scholl, Armin, 2010. "Balancing mixed-model assembly lines: a computational evaluation of objectives to smoothen workload," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 79442, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    15. McMullen, Patrick R. & Frazier, Gregory V., 1997. "A heuristic for solving mixed-model line balancing problems with stochastic task durations and parallel stations," International Journal of Production Economics, Elsevier, vol. 51(3), pages 177-190, September.
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