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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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    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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