IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v121y2009i1p81-87.html
   My bibliography  Save this article

Johnson's algorithm: A key to solve optimally or approximately flow shop scheduling problems with unavailability periods

Author

Listed:
  • Allaoui, Hamid
  • Artiba, AbdelHakim

Abstract

Johnson's algorithm (JA) is perhaps the most classical algorithm in the scheduling area. JA gives the optimal solution to the two machine flow shop to minimize the makespan in polynomial time. Researchers have tried to extend this notorious result to obtain polynomial time algorithms for more general cases. Such importance motivated us to devote this paper to JA applied to three flow shop problems with unavailability periods to minimize the makespan. First we focus on the optimality condition of JA. Then we propose a modification of JA. After we calculate new performances of JA as a heuristic. Last we deal with an extension of JA.

Suggested Citation

  • Allaoui, Hamid & Artiba, AbdelHakim, 2009. "Johnson's algorithm: A key to solve optimally or approximately flow shop scheduling problems with unavailability periods," International Journal of Production Economics, Elsevier, vol. 121(1), pages 81-87, September.
    • Handle: RePEc:eee:proeco:v:121:y:2009:i:1:p:81-87
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(09)00107-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Liu, Shi Qiang & Kozan, Erhan, 2009. "Scheduling a flow shop with combined buffer conditions," International Journal of Production Economics, Elsevier, vol. 117(2), pages 371-380, February.
    2. Lee, Chung-Yee, 1999. "Two-machine flowshop scheduling with availability constraints," European Journal of Operational Research, Elsevier, vol. 114(2), pages 420-429, April.
    3. Leung, Joseph Y.-T. & Li, Chung-Lun, 2008. "Scheduling with processing set restrictions: A survey," International Journal of Production Economics, Elsevier, vol. 116(2), pages 251-262, December.
    4. Sriskandarajah, C. & Sethi, S. P., 1989. "Scheduling algorithms for flexible flowshops: Worst and average case performance," European Journal of Operational Research, Elsevier, vol. 43(2), pages 143-160, November.
    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. Shijin Wang & Ming Liu, 2016. "Two-machine flow shop scheduling integrated with preventive maintenance planning," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(3), pages 672-690, February.
    2. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.

    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. Lin, Hung-Tso & Liao, Ching-Jong, 2003. "A case study in a two-stage hybrid flow shop with setup time and dedicated machines," International Journal of Production Economics, Elsevier, vol. 86(2), pages 133-143, November.
    2. Zhen Song & Håkan Schunnesson & Mikael Rinne & John Sturgul, 2015. "Intelligent Scheduling for Underground Mobile Mining Equipment," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-21, June.
    3. Seyed Habib A. Rahmati & Abbas Ahmadi & Kannan Govindan, 2018. "A novel integrated condition-based maintenance and stochastic flexible job shop scheduling problem: simulation-based optimization approach," Annals of Operations Research, Springer, vol. 269(1), pages 583-621, October.
    4. Azizoglu, Meral & Cakmak, Ergin & Kondakci, Suna, 2001. "A flexible flowshop problem with total flow time minimization," European Journal of Operational Research, Elsevier, vol. 132(3), pages 528-538, August.
    5. Hoogeveen, J. A. & Lenstra, J. K. & Veltman, B., 1996. "Preemptive scheduling in a two-stage multiprocessor flow shop is NP-hard," European Journal of Operational Research, Elsevier, vol. 89(1), pages 172-175, February.
    6. Allaoui, H. & Lamouri, S. & Artiba, A. & Aghezzaf, E., 2008. "Simultaneously scheduling n jobs and the preventive maintenance on the two-machine flow shop to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 112(1), pages 161-167, March.
    7. Faicel Hnaien & Taha Arbaoui, 2023. "Minimizing the makespan for the two-machine flow shop scheduling problem with random breakdown," Annals of Operations Research, Springer, vol. 328(2), pages 1437-1460, September.
    8. André Rossi & Alexis Aubry & Mireille Jacomino, 2011. "A sensitivity analysis to assess the completion time deviation for multi-purpose machines facing demand uncertainty," Annals of Operations Research, Springer, vol. 191(1), pages 219-249, November.
    9. Gerardo Minella & Rubén Ruiz & Michele Ciavotta, 2008. "A Review and Evaluation of Multiobjective Algorithms for the Flowshop Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 451-471, August.
    10. Zribi, N. & El Kamel, A. & Borne, P., 2008. "Minimizing the makespan for the MPM job-shop with availability constraints," International Journal of Production Economics, Elsevier, vol. 112(1), pages 151-160, March.
    11. Weiya Zhong & Yun Shi, 2018. "Two-stage no-wait hybrid flowshop scheduling with inter-stage flexibility," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 108-125, January.
    12. Tan, Zhiyi & Chen, Yong & Zhang, An, 2013. "On the exact bounds of SPT for scheduling on parallel machines with availability constraints," International Journal of Production Economics, Elsevier, vol. 146(1), pages 293-299.
    13. Hnaien, Faicel & Yalaoui, Farouk & Mhadhbi, Ahmed, 2015. "Makespan minimization on a two-machine flowshop with an availability constraint on the first machine," International Journal of Production Economics, Elsevier, vol. 164(C), pages 95-104.
    14. Ferreira, Cristiane & Figueira, Gonçalo & Amorim, Pedro, 2021. "Scheduling Human-Robot Teams in collaborative working cells," International Journal of Production Economics, Elsevier, vol. 235(C).
    15. Liao, Ching-Jong & Shyur, Der-Lin & Lin, Chien-Hung, 2005. "Makespan minimization for two parallel machines with an availability constraint," European Journal of Operational Research, Elsevier, vol. 160(2), pages 445-456, January.
    16. Kerem Bülbül & Safia Kedad-Sidhoum & Halil Şen, 2019. "Single-machine common due date total earliness/tardiness scheduling with machine unavailability," Journal of Scheduling, Springer, vol. 22(5), pages 543-565, October.
    17. Wang, Jun-Qiang & Leung, Joseph Y.-T., 2014. "Scheduling jobs with equal-processing-time on parallel machines with non-identical capacities to minimize makespan," International Journal of Production Economics, Elsevier, vol. 156(C), pages 325-331.
    18. Jia, Zhao-hong & Li, Kai & Leung, Joseph Y.-T., 2015. "Effective heuristic for makespan minimization in parallel batch machines with non-identical capacities," International Journal of Production Economics, Elsevier, vol. 169(C), pages 1-10.
    19. Mohamed Haouari & Lotfi Hidri & Anis Gharbi, 2006. "Optimal Scheduling of a Two-stage Hybrid Flow Shop," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 107-124, August.
    20. Lee, Kangbok & Hwang, Hark-Chin & Lim, Kyungkuk, 2014. "Semi-online scheduling with GoS eligibility constraints," International Journal of Production Economics, Elsevier, vol. 153(C), pages 204-214.

    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:eee:proeco:v:121:y:2009:i:1:p:81-87. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.