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Heuristics and lower bounds for minimizing the total completion time in a two-machine flowshop

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  • Ladhari, Talel
  • Rakrouki, Mohamed Ali

Abstract

We consider the problem of minimizing the sum of completion times in a two-machine permutation flowshop subject to release dates. We develop several lower bounds and we describe constructive heuristics as well as an effective genetic local search algorithm. Computational experiments carried out on a large set of randomly generated instances provide evidence that a constructive heuristic based on new derived priority rule as well as the genetic algorithm perform consistently well.

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  • Ladhari, Talel & Rakrouki, Mohamed Ali, 2009. "Heuristics and lower bounds for minimizing the total completion time in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 122(2), pages 678-691, December.
    • Handle: RePEc:eee:proeco:v:122:y:2009:i:2:p:678-691
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    Cited by:

    1. Mohamed Ali Rakrouki & Anis Kooli & Sabrine Chalghoumi & Talel Ladhari, 2020. "A branch-and-bound algorithm for the two-machine total completion time flowshop problem subject to release dates," Operational Research, Springer, vol. 20(1), pages 21-35, March.
    2. Federico Della Croce & Andrea Grosso & Fabio Salassa, 2014. "A matheuristic approach for the two-machine total completion time flow shop problem," Annals of Operations Research, Springer, vol. 213(1), pages 67-78, February.
    3. Pessoa, Luciana S. & Andrade, Carlos E., 2018. "Heuristics for a flowshop scheduling problem with stepwise job objective function," European Journal of Operational Research, Elsevier, vol. 266(3), pages 950-962.
    4. Tseng, Lin-Yu & Lin, Ya-Tai, 2010. "A genetic local search algorithm for minimizing total flowtime in the permutation flowshop scheduling problem," International Journal of Production Economics, Elsevier, vol. 127(1), pages 121-128, September.
    5. Wang, Ling & Sun, Lin-Yan & Sun, Lin-Hui & Wang, Ji-Bo, 2010. "On three-machine flow shop scheduling with deteriorating jobs," International Journal of Production Economics, Elsevier, vol. 125(1), pages 185-189, May.

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