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Iterative beam search algorithms for the permutation flowshop

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  • Libralesso, Luc
  • Focke, Pablo Andres
  • Secardin, Aurélien
  • Jost, Vincent

Abstract

We study an iterative beam search algorithm for the permutation flowshop (makespan and flowtime minimization). This algorithm combines branching strategies inspired by recent branch-and-bounds and a guidance strategy inspired by the LR heuristic. It obtains competitive results on large instances compared to the state-of-the-art algorithms, reports many new-best-so-far solutions on the VFR benchmark (makespan minimization) and the Taillard benchmark (flowtime minimization) without using any NEH-based branching or iterative-greedy strategy. The source code is available at: https://github.com/librallu/dogs-pfsp.

Suggested Citation

  • Libralesso, Luc & Focke, Pablo Andres & Secardin, Aurélien & Jost, Vincent, 2022. "Iterative beam search algorithms for the permutation flowshop," European Journal of Operational Research, Elsevier, vol. 301(1), pages 217-234.
  • Handle: RePEc:eee:ejores:v:301:y:2022:i:1:p:217-234
    DOI: 10.1016/j.ejor.2021.10.015
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    References listed on IDEAS

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    1. Lemesre, J. & Dhaenens, C. & Talbi, E.G., 2007. "An exact parallel method for a bi-objective permutation flowshop problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1641-1655, March.
    2. Pan, Quan-Ke & Ruiz, Rubén, 2012. "Local search methods for the flowshop scheduling problem with flowtime minimization," European Journal of Operational Research, Elsevier, vol. 222(1), pages 31-43.
    3. Taillard, E., 1990. "Some efficient heuristic methods for the flow shop sequencing problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 65-74, July.
    4. Taillard, E., 1993. "Benchmarks for basic scheduling problems," European Journal of Operational Research, Elsevier, vol. 64(2), pages 278-285, January.
    5. Pagnozzi, Federico & Stützle, Thomas, 2019. "Automatic design of hybrid stochastic local search algorithms for permutation flowshop problems," European Journal of Operational Research, Elsevier, vol. 276(2), pages 409-421.
    6. Framinan, J. M. & Leisten, R., 2003. "An efficient constructive heuristic for flowtime minimisation in permutation flow shops," Omega, Elsevier, vol. 31(4), pages 311-317, August.
    7. Nowicki, Eugeniusz, 1999. "The permutation flow shop with buffers: A tabu search approach," European Journal of Operational Research, Elsevier, vol. 116(1), pages 205-219, July.
    8. Ruiz, Ruben & Stutzle, Thomas, 2007. "A simple and effective iterated greedy algorithm for the permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 2033-2049, March.
    9. Fernandez-Viagas, Victor & Molina-Pariente, Jose M. & Framinan, Jose M., 2020. "Generalised accelerations for insertion-based heuristics in permutation flowshop scheduling," European Journal of Operational Research, Elsevier, vol. 282(3), pages 858-872.
    10. Potts, C. N., 1980. "An adaptive branching rule for the permutation flow-shop problem," European Journal of Operational Research, Elsevier, vol. 5(1), pages 19-25, July.
    11. M S Nagano & J V Moccellin, 2002. "A high quality solution constructive heuristic for flow shop sequencing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(12), pages 1374-1379, December.
    12. Carlier, Jacques & Rebai, Ismail, 1996. "Two branch and bound algorithms for the permutation flow shop problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 238-251, April.
    13. Lee J. Krajewski & Barry E. King & Larry P. Ritzman & Danny S. Wong, 1987. "Kanban, MRP, and Shaping the Manufacturing Environment," Management Science, INFORMS, vol. 33(1), pages 39-57, January.
    14. Pan, Quan-Ke & Ruiz, Rubén, 2014. "An effective iterated greedy algorithm for the mixed no-idle permutation flowshop scheduling problem," Omega, Elsevier, vol. 44(C), pages 41-50.
    15. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    16. Liu, Weibo & Jin, Yan & Price, Mark, 2017. "A new improved NEH heuristic for permutation flowshop scheduling problems," International Journal of Production Economics, Elsevier, vol. 193(C), pages 21-30.
    17. Vallada, Eva & Ruiz, Rubén & Framinan, Jose M., 2015. "New hard benchmark for flowshop scheduling problems minimising makespan," European Journal of Operational Research, Elsevier, vol. 240(3), pages 666-677.
    18. Gmys, Jan & Mezmaz, Mohand & Melab, Nouredine & Tuyttens, Daniel, 2020. "A computationally efficient Branch-and-Bound algorithm for the permutation flow-shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 284(3), pages 814-833.
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    2. Jan Gmys, 2022. "Exactly Solving Hard Permutation Flowshop Scheduling Problems on Peta-Scale GPU-Accelerated Supercomputers," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2502-2522, September.

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