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A constructive algorithm and a simulated annealing approach for solving flowshop problems with missing operations

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  • M. Henneberg
  • J.S. Neufeld

Abstract

In many practical cases of flowshop environments and especially in flowline manufacturing cells, some or all jobs may not require processing on all machines. Hence, this paper focuses on the flowshop scheduling problem with missing operations. A modification of the constructive NPS-set heuristic is proposed, which generates non-permutation schedules effectively. Furthermore, a two-phase simulated annealing (SA) method is presented that specifically considers missing operations in its procedure. The modified NPS-set heuristic and the two-phase SA are tested and statistically evaluated by an extensive computational study for total flow time criteria. The results show that the modified NPS-set heuristic as well as the specific consideration of missing operations can enhance the algorithms’ performance significantly.

Suggested Citation

  • M. Henneberg & J.S. Neufeld, 2016. "A constructive algorithm and a simulated annealing approach for solving flowshop problems with missing operations," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3534-3550, June.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:12:p:3534-3550
    DOI: 10.1080/00207543.2015.1082670
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    References listed on IDEAS

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    5. Rajendran, Chandrasekharan & Ziegler, Hans, 2001. "A performance analysis of dispatching rules and a heuristic in static flowshops with missing operations of jobs," European Journal of Operational Research, Elsevier, vol. 131(3), pages 622-634, June.
    6. Mehravaran, Yasaman & Logendran, Rasaratnam, 2012. "Non-permutation flowshop scheduling in a supply chain with sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 135(2), pages 953-963.
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    Cited by:

    1. Li, Guo & Li, Na & Sambandam, Narayanasamy & Sethi, Suresh P. & Zhang, Faping, 2018. "Flow shop scheduling with jobs arriving at different times," International Journal of Production Economics, Elsevier, vol. 206(C), pages 250-260.
    2. Rossit, Daniel Alejandro & Tohmé, Fernando & Frutos, Mariano, 2018. "The Non-Permutation Flow-Shop scheduling problem: A literature review," Omega, Elsevier, vol. 77(C), pages 143-153.
    3. Smutnicki, Czeslaw & Pempera, Jaroslaw & Bocewicz, Grzegorz & Banaszak, Zbigniew, 2022. "Cyclic flow-shop scheduling with no-wait constraints and missing operations," European Journal of Operational Research, Elsevier, vol. 302(1), pages 39-49.

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