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Heuristics for the mixed no-idle flowshop with sequence-dependent setup times

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  • Fernando Luis Rossi
  • Marcelo Seido Nagano

Abstract

In this paper, the mixed no-idle flowshop scheduling problem with sequence-dependent setup times and makespan minimisation criterion is studied. The mixed no-idle flowshop problem considers an environment in which regular machines coexist with stages that require an uninterrupted process. We address an extension of the mixed no-idle problem which considers sequence-dependent setup times on idle machines. To the best of our knowledge, this problem has not yet been studied in the literature although it can be found in the dynamics of productive systems. We also present a mathematical formulation for this new problem and a constructive heuristic is proposed. In addition, two extensive new benchmarks were developed based on a well-known set of problems from the literature. A comprehensive statistical and computational experiment was performed with state-of-the-art constructive heuristics and our proposed method. The results show that the new heuristic outperformed the methods from the literature.

Suggested Citation

  • Fernando Luis Rossi & Marcelo Seido Nagano, 2021. "Heuristics for the mixed no-idle flowshop with sequence-dependent setup times," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(2), pages 417-443, February.
    • Handle: RePEc:taf:tjorxx:v:72:y:2021:i:2:p:417-443
    DOI: 10.1080/01605682.2019.1671149
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    Cited by:

    1. Chen-Yang Cheng & Shih-Wei Lin & Pourya Pourhejazy & Kuo-Ching Ying & Yu-Zhe Lin, 2021. "No-Idle Flowshop Scheduling for Energy-Efficient Production: An Improved Optimization Framework," Mathematics, MDPI, vol. 9(12), pages 1-18, June.
    2. Fernando Luis Rossi & Marcelo Seido Nagano, 2022. "Beam search-based heuristics for the mixed no-idle flowshop with total flowtime criterion," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1311-1346, December.

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