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An enumeration procedure for the assembly line balancing problem based on branching by non-decreasing idle time

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  • Vilà, Mariona
  • Pereira, Jordi

Abstract

In this article, we present a new exact algorithm for solving the simple assembly line balancing problem given a determined cycle time (SALBP-1). The algorithm is a station-oriented bidirectional branch-and-bound procedure based on a new enumeration strategy that explores the feasible solutions tree in a non-decreasing idle time order. The procedure uses several well-known lower bounds, dominance rules and a new logical test based on the assimilation of the feasibility problem for a given cycle time and number of stations (SALBP-F) to a maximum-flow problem.

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  • Vilà, Mariona & Pereira, Jordi, 2013. "An enumeration procedure for the assembly line balancing problem based on branching by non-decreasing idle time," European Journal of Operational Research, Elsevier, vol. 229(1), pages 106-113.
    • Handle: RePEc:eee:ejores:v:229:y:2013:i:1:p:106-113
    DOI: 10.1016/j.ejor.2013.03.003
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    1. Thomas R. Hoffmann, 1963. "Assembly Line Balancing with a Precedence Matrix," Management Science, INFORMS, vol. 9(4), pages 551-562, July.
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    9. Bautista, Joaquín & Pereira, Jordi, 2009. "A dynamic programming based heuristic for the assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 194(3), pages 787-794, May.
    10. 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).
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    Cited by:

    1. Borba, Leonardo & Ritt, Marcus & Miralles, Cristóbal, 2018. "Exact and heuristic methods for solving the Robotic Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 270(1), pages 146-156.
    2. Boysen, Nils & Schulze, Philipp & Scholl, Armin, 2022. "Assembly line balancing: What happened in the last fifteen years?," European Journal of Operational Research, Elsevier, vol. 301(3), pages 797-814.
    3. Pereira, Jordi & Álvarez-Miranda, Eduardo, 2018. "An exact approach for the robust assembly line balancing problem," Omega, Elsevier, vol. 78(C), pages 85-98.
    4. Pereira, Jordi, 2016. "Procedures for the bin packing problem with precedence constraints," European Journal of Operational Research, Elsevier, vol. 250(3), pages 794-806.
    5. Battaïa, Olga & Dolgui, Alexandre, 2022. "Hybridizations in line balancing problems: A comprehensive review on new trends and formulations," International Journal of Production Economics, Elsevier, vol. 250(C).
    6. Calleja, Gema & Corominas, Albert & García-Villoria, Alberto & Pastor, Rafael, 2016. "Hybrid metaheuristics for the Accessibility Windows Assembly Line Balancing Problem Level 2 (AWALBP-L2)," European Journal of Operational Research, Elsevier, vol. 250(3), pages 760-772.
    7. Pape, Tom, 2015. "Heuristics and lower bounds for the simple assembly line balancing problem type 1: Overview, computational tests and improvements," European Journal of Operational Research, Elsevier, vol. 240(1), pages 32-42.
    8. Jordi Pereira & Mariona Vilà, 2016. "A new model for supply chain network design with integrated assembly line balancing decisions," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2653-2669, May.
    9. Li, Zixiang & Kucukkoc, Ibrahim & Zhang, Zikai, 2020. "Branch, bound and remember algorithm for two-sided assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 284(3), pages 896-905.

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