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Minimizing total completion time in the two-machine no-idle no-wait flow shop problem

Author

Listed:
  • Federico Della Croce

    (DIGEP, Politecnico di Torino
    CNR, IEIIT)

  • Andrea Grosso

    (D.I., Universitá degli Studi di Torino)

  • Fabio Salassa

    (DIGEP, Politecnico di Torino)

Abstract

We consider the two-machine total completion time flow shop problem with additional requirements. These requirements are the so-called no-idle constraint where the machines must operate with no inserted idle time and the so-called no-wait constraint where jobs cannot wait between the end of an operation and the start of the following one. We propose a matheuristic approach that uses an ILP formulation based on positional completion times variables and exploits the structural properties of the problem. The proposed approach shows very competitive performances on instances with up to 500 jobs in size.

Suggested Citation

  • Federico Della Croce & Andrea Grosso & Fabio Salassa, 2021. "Minimizing total completion time in the two-machine no-idle no-wait flow shop problem," Journal of Heuristics, Springer, vol. 27(1), pages 159-173, April.
    • Handle: RePEc:spr:joheur:v:27:y:2021:i:1:d:10.1007_s10732-019-09430-z
    DOI: 10.1007/s10732-019-09430-z
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    References listed on IDEAS

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    1. Kalczynski, Pawel Jan & Kamburowski, Jerzy, 2007. "On no-wait and no-idle flow shops with makespan criterion," European Journal of Operational Research, Elsevier, vol. 178(3), pages 677-685, May.
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    3. Goncharov, Yaroslav & Sevastyanov, Sergey, 2009. "The flow shop problem with no-idle constraints: A review and approximation," European Journal of Operational Research, Elsevier, vol. 196(2), pages 450-456, July.
    4. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.
    5. S. M. Johnson, 1954. "Optimal two‐ and three‐stage production schedules with setup times included," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 61-68, March.
    6. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    7. I. Adiri & D. Pohoryles, 1982. "Flowshop/no‐idle or no‐wait scheduling to minimize the sum of completion times," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(3), pages 495-504, September.
    8. J.-C. Billaut & F. Della Croce & F. Salassa & V. T’kindt, 2019. "No-idle, no-wait: when shop scheduling meets dominoes, Eulerian paths and Hamiltonian paths," Journal of Scheduling, Springer, vol. 22(1), pages 59-68, February.
    9. Lin, Shih-Wei & Ying, Kuo-Ching, 2016. "Optimization of makespan for no-wait flowshop scheduling problems using efficient matheuristics," Omega, Elsevier, vol. 64(C), pages 115-125.
    10. 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.
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    1. Lotfi Hidri & Ali Alqahtani & Achraf Gazdar & Belgacem Ben Youssef, 2021. "Green Scheduling of Identical Parallel Machines with Release Date, Delivery Time and No-Idle Machine Constraints," Sustainability, MDPI, vol. 13(16), pages 1-30, August.

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