IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v213y2014i1p67-7810.1007-s10479-011-0928-x.html
   My bibliography  Save this article

A matheuristic approach for the two-machine total completion time flow shop problem

Author

Listed:
  • Federico Della Croce
  • Andrea Grosso
  • Fabio Salassa

Abstract

This paper deals with the two-machine total completion time flow shop problem. We present a so-called matheuristic post processing procedure that improves the objective function value with respect to the solutions provided by state of the art procedures. The proposed procedure is based on the positional completion times integer programming formulation of the problem with O(n 2 ) variables and O(n) constraints. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:213:y:2014:i:1:p:67-78:10.1007/s10479-011-0928-x
    DOI: 10.1007/s10479-011-0928-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-011-0928-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-011-0928-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    2. Taillard, E., 1990. "Some efficient heuristic methods for the flow shop sequencing problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 65-74, July.
    3. 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.
    4. Akkan, Can & Karabati, Selcuk, 2004. "The two-machine flowshop total completion time problem: Improved lower bounds and a branch-and-bound algorithm," European Journal of Operational Research, Elsevier, vol. 159(2), pages 420-429, December.
    5. Della Croce, F. & Ghirardi, M. & Tadei, R., 2002. "An improved branch-and-bound algorithm for the two machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 139(2), pages 293-301, June.
    6. Ruiz, Ruben & Maroto, Concepcion, 2005. "A comprehensive review and evaluation of permutation flowshop heuristics," European Journal of Operational Research, Elsevier, vol. 165(2), pages 479-494, September.
    7. Della Croce, F. & Narayan, V. & Tadei, R., 1996. "The two-machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 227-237, April.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fan Yang & Roel Leus, 2021. "Scheduling hybrid flow shops with time windows," Journal of Heuristics, Springer, vol. 27(1), pages 133-158, April.
    2. Framinan, Jose M. & Perez-Gonzalez, Paz, 2018. "Order scheduling with tardiness objective: Improved approximate solutions," European Journal of Operational Research, Elsevier, vol. 266(3), pages 840-850.
    3. Dominik Kress & David Müller & Jenny Nossack, 2019. "A worker constrained flexible job shop scheduling problem with sequence-dependent setup times," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 179-217, March.
    4. Aringhieri, Roberto & Duma, Davide & Landa, Paolo & Mancini, Simona, 2022. "Combining workload balance and patient priority maximisation in operating room planning through hierarchical multi-objective optimisation," European Journal of Operational Research, Elsevier, vol. 298(2), pages 627-643.
    5. Marco Ghirardi & Fabio Salassa, 2022. "A simple and effective algorithm for the maximum happy vertices problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 181-193, April.
    6. 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.
    7. Alice Consilvio & Angela Febbraro & Rossella Meo & Nicola Sacco, 2019. "Risk-based optimal scheduling of maintenance activities in a railway network," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 435-465, December.
    8. Reshma Chirayil Chandrasekharan & Pieter Smet & Tony Wauters, 2021. "An automatic constructive matheuristic for the shift minimization personnel task scheduling problem," Journal of Heuristics, Springer, vol. 27(1), pages 205-227, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Detienne, Boris & Sadykov, Ruslan & Tanaka, Shunji, 2016. "The two-machine flowshop total completion time problem: Branch-and-bound algorithms based on network-flow formulation," European Journal of Operational Research, Elsevier, vol. 252(3), pages 750-760.
    3. 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.
    4. 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.
    5. S Yanai & T Fujie, 2006. "A three-machine permutation flow-shop problem with minimum makespan on the second machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 460-468, April.
    6. 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.
    7. Fatima Benbouzid-Si Tayeb & Karima Benatchba & Abd-Essalam Messiaid, 2018. "Game theory-based integration of scheduling with flexible and periodic maintenance planning in the permutation flowshop sequencing problem," Operational Research, Springer, vol. 18(1), pages 221-255, April.
    8. Pan, Quan-Ke & Ruiz, Rubén, 2014. "An effective iterated greedy algorithm for the mixed no-idle permutation flowshop scheduling problem," Omega, Elsevier, vol. 44(C), pages 41-50.
    9. Pan, Quan-Ke & Ruiz, Rubén, 2012. "An estimation of distribution algorithm for lot-streaming flow shop problems with setup times," Omega, Elsevier, vol. 40(2), pages 166-180, April.
    10. Naderi, Bahman & Ruiz, Rubén, 2014. "A scatter search algorithm for the distributed permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 239(2), pages 323-334.
    11. K Sheibani, 2010. "A fuzzy greedy heuristic for permutation flow-shop scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 813-818, May.
    12. Brammer, Janis & Lutz, Bernhard & Neumann, Dirk, 2022. "Permutation flow shop scheduling with multiple lines and demand plans using reinforcement learning," European Journal of Operational Research, Elsevier, vol. 299(1), pages 75-86.
    13. Yen-Shing Tsai & Bertrand M. T. Lin, 2016. "Flow shop non-idle scheduling and resource-constrained scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 577-585, March.
    14. Li, Wei & Nault, Barrie R. & Ye, Honghan, 2019. "Trade-off balancing in scheduling for flow shop production and perioperative processes," European Journal of Operational Research, Elsevier, vol. 273(3), pages 817-830.
    15. Yen-Shing Tsai & Bertrand Lin, 2016. "Flow shop non-idle scheduling and resource-constrained scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 577-585, March.
    16. Rad, Shahriar Farahmand & Ruiz, Rubén & Boroojerdian, Naser, 2009. "New high performing heuristics for minimizing makespan in permutation flowshops," Omega, Elsevier, vol. 37(2), pages 331-345, April.
    17. Gharbi, Anis & Ladhari, Talel & Msakni, Mohamed Kais & Serairi, Mehdi, 2013. "The two-machine flowshop scheduling problem with sequence-independent setup times: New lower bounding strategies," European Journal of Operational Research, Elsevier, vol. 231(1), pages 69-78.
    18. Ruiz, Rubén & Pan, Quan-Ke & Naderi, Bahman, 2019. "Iterated Greedy methods for the distributed permutation flowshop scheduling problem," Omega, Elsevier, vol. 83(C), pages 213-222.
    19. 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.
    20. Ganesan, Viswanath Kumar & Sivakumar, Appa Iyer, 2006. "Scheduling in static jobshops for minimizing mean flowtime subject to minimum total deviation of job completion times," International Journal of Production Economics, Elsevier, vol. 103(2), pages 633-647, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:213:y:2014:i:1:p:67-78:10.1007/s10479-011-0928-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.