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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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    References listed on IDEAS

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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.
    2. 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.
    3. Peeters, Marc & Degraeve, Zeger, 2006. "An linear programming based lower bound for the simple assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 168(3), pages 716-731, February.
    4. E. C. Sewell & S. H. Jacobson, 2012. "A Branch, Bound, and Remember Algorithm for the Simple Assembly Line Balancing Problem," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 433-442, August.
    5. 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.
    6. 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.
    7. B R Sarker & H Pan, 2001. "Designing a mixed-model, open-station assembly line using mixed-integer programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 545-558, May.
    8. 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).
    9. 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.
    10. Scholl, Armin & Klein, Robert, 1999. "Balancing assembly lines effectively - A computational comparison," European Journal of Operational Research, Elsevier, vol. 114(1), pages 50-58, April.
    11. Roger V. Johnson, 1988. "Optimally Balancing Large Assembly Lines with "Fable"," Management Science, INFORMS, vol. 34(2), pages 240-253, February.
    12. Thomas R. Hoffmann, 1992. "Eureka: A Hybrid System for Assembly Line Balancing," Management Science, INFORMS, vol. 38(1), pages 39-47, January.
    13. Fleszar, Krzysztof & Hindi, Khalil S., 2003. "An enumerative heuristic and reduction methods for the assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 145(3), pages 606-620, March.
    14. Otto, Alena & Otto, Christian & Scholl, Armin, 2013. "Systematic data generation and test design for solution algorithms on the example of SALBPGen for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 228(1), pages 33-45.
    15. Edward Sewell & Jason Sauppe & David Morrison & Sheldon Jacobson & Gio Kao, 2012. "A BB&R algorithm for minimizing total tardiness on a single machine with sequence dependent setup times," Journal of Global Optimization, Springer, vol. 54(4), pages 791-812, December.
    16. .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.
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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. Pereira, Jordi, 2016. "Procedures for the bin packing problem with precedence constraints," European Journal of Operational Research, Elsevier, vol. 250(3), pages 794-806.
    18. 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).
    19. 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.
    20. 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.
    21. 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.
    22. 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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