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Minimizing total completion time in the flexible flowshop sequence-dependent group scheduling problem

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  • Taha Keshavarz
  • Nasser Salmasi
  • Mohsen Varmazyar

Abstract

This research considers a flexible flowshop sequence-dependent group scheduling problem with minimization of total completion time. A mixed integer linear mathematical model for the research problem is developed. Since the research problem is shown to be strongly NP-hard, a metaheuristic algorithm based on memetic algorithm (MA) is proposed. A lower bounding method based on the Branch and Price algorithm is also proposed to evaluate the quality of the MA. In order to evaluate the performance of the proposed algorithms, random test problems, ranging in size from small, medium, to large are generated and solved by the MA and the lower bounding method. The results show that the average percentage gap of the MA is 6.03 % compared to the result of the lower bounding method for randomly generated test problems. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Taha Keshavarz & Nasser Salmasi & Mohsen Varmazyar, 2015. "Minimizing total completion time in the flexible flowshop sequence-dependent group scheduling problem," Annals of Operations Research, Springer, vol. 226(1), pages 351-377, March.
    • Handle: RePEc:spr:annopr:v:226:y:2015:i:1:p:351-377:10.1007/s10479-014-1667-6
    DOI: 10.1007/s10479-014-1667-6
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    References listed on IDEAS

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    1. Logendran, Rasaratnam & deSzoeke, Paula & Barnard, Faith, 2006. "Sequence-dependent group scheduling problems in flexible flow shops," International Journal of Production Economics, Elsevier, vol. 102(1), pages 66-86, July.
    2. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    3. Carlos Paternina-Arboleda & Jairo Montoya-Torres & Milton Acero-Dominguez & Maria Herrera-Hernandez, 2008. "Scheduling jobs on a k-stage flexible flow-shop," Annals of Operations Research, Springer, vol. 164(1), pages 29-40, November.
    4. Martín Ravetti & Carlos Riveros & Alexandre Mendes & Mauricio Resende & Panos Pardalos, 2012. "Parallel hybrid heuristics for the permutation flow shop problem," Annals of Operations Research, Springer, vol. 199(1), pages 269-284, October.
    5. Logendran, Rasaratnam & Carson, Sara & Hanson, Erik, 2005. "Group scheduling in flexible flow shops," International Journal of Production Economics, Elsevier, vol. 96(2), pages 143-155, May.
    6. B. Naderi & Nasser Salmasi, 2012. "Permutation flowshops in group scheduling with sequence-dependent setup times," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(2), pages 177-198.
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    Cited by:

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