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An application of the branch, bound, and remember algorithm to a new simple assembly line balancing dataset

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  • Morrison, David R.
  • Sewell, Edward C.
  • Jacobson, Sheldon H.

Abstract

The simple assembly line balancing problem (SALBP) is a well-studied NP-complete problem for which a new problem database of generated instances was published in 2013. This paper describes the application of a branch, bound, and remember (BB&R) algorithm using the cyclic best-first search strategy to this new database to produce provably exact solutions for 86% of the unsolved problems in this database. A new backtracking rule to save memory is employed to allow the BB&R algorithm to solve many of the largest problems in the database.

Suggested Citation

  • Morrison, David R. & Sewell, Edward C. & Jacobson, Sheldon H., 2014. "An application of the branch, bound, and remember algorithm to a new simple assembly line balancing dataset," European Journal of Operational Research, Elsevier, vol. 236(2), pages 403-409.
    • Handle: RePEc:eee:ejores:v:236:y:2014:i:2:p:403-409
    DOI: 10.1016/j.ejor.2013.11.033
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    Cited by:

    1. Wenda Zhang & Jason J. Sauppe & Sheldon H. Jacobson, 2021. "An Improved Branch-and-Bound Algorithm for the One-Machine Scheduling Problem with Delayed Precedence Constraints," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 1091-1102, July.
    2. Wenda Zhang & Jason J. Sauppe & Sheldon H. Jacobson, 2023. "Results for the close-enough traveling salesman problem with a branch-and-bound algorithm," Computational Optimization and Applications, Springer, vol. 85(2), pages 369-407, June.
    3. 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.
    4. Quanming Cheng & Sen Wu & Yang Zhao, 2017. "A bin packing problem of the laundry washing buckets scheduling based on the buffer area," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(3), pages 1981-1988, November.
    5. Lai, Tsung-Chyan & Sotskov, Yuri N. & Dolgui, Alexandre, 2019. "The stability radius of an optimal line balance with maximum efficiency for a simple assembly line," European Journal of Operational Research, Elsevier, vol. 274(2), pages 466-481.
    6. Mohd Nor Akmal Khalid & Umi Kalsom Yusof, 2021. "Incorporating shifting bottleneck identification in assembly line balancing problem using an artificial immune system approach," Flexible Services and Manufacturing Journal, Springer, vol. 33(3), pages 717-749, September.
    7. García-Villoria, Alberto & Corominas, Albert & Nadal, Adrià & Pastor, Rafael, 2018. "Solving the accessibility windows assembly line problem level 1 and variant 1 (AWALBP-L1-1) with precedence constraints," European Journal of Operational Research, Elsevier, vol. 271(3), pages 882-895.
    8. 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.
    9. Raphael Kramer & Mauro Dell’Amico & Manuel Iori, 2017. "A batching-move iterated local search algorithm for the bin packing problem with generalized precedence constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 55(21), pages 6288-6304, November.
    10. 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.
    11. Bukchin, Yossi & Raviv, Tal, 2018. "Constraint programming for solving various assembly line balancing problems," Omega, Elsevier, vol. 78(C), pages 57-68.
    12. Bouška, Michal & Šůcha, Přemysl & Novák, Antonín & Hanzálek, Zdeněk, 2023. "Deep learning-driven scheduling algorithm for a single machine problem minimizing the total tardiness," European Journal of Operational Research, Elsevier, vol. 308(3), pages 990-1006.
    13. 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.
    14. Pereira, Jordi & Álvarez-Miranda, Eduardo, 2018. "An exact approach for the robust assembly line balancing problem," Omega, Elsevier, vol. 78(C), pages 85-98.
    15. David R. Morrison & Jason J. Sauppe & Wenda Zhang & Sheldon H. Jacobson & Edward C. Sewell, 2017. "Cyclic best first search: Using contours to guide branch‐and‐bound algorithms," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(1), pages 64-82, February.
    16. Orlando Rivera Letelier & François Clautiaux & Ruslan Sadykov, 2022. "Bin Packing Problem with Time Lags," INFORMS Journal on Computing, INFORMS, vol. 34(4), pages 2249-2270, July.
    17. Shibasaki, Rui S. & Rossi, André & Gurevsky, Evgeny, 2024. "A new upper bound based on Dantzig-Wolfe decomposition to maximize the stability radius of a simple assembly line under uncertainty," European Journal of Operational Research, Elsevier, vol. 313(3), pages 1015-1030.
    18. Pereira, Jordi, 2016. "Procedures for the bin packing problem with precedence constraints," European Journal of Operational Research, Elsevier, vol. 250(3), pages 794-806.
    19. 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).
    20. Pereira, Jordi & Ritt, Marcus, 2023. "Exact and heuristic methods for a workload allocation problem with chain precedence constraints," European Journal of Operational Research, Elsevier, vol. 309(1), pages 387-398.
    21. 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.
    22. 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.
    23. Lai, Tsung-Chyan & Sotskov, Yuri N. & Dolgui, Alexandre & Zatsiupa, Aksana, 2016. "Stability radii of optimal assembly line balances with a fixed workstation set," International Journal of Production Economics, Elsevier, vol. 182(C), pages 356-371.

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