IDEAS home Printed from https://ideas.repec.org/a/wsi/apjorx/v34y2017i05ns0217595917500221.html
   My bibliography  Save this article

Online Single Machine Scheduling to Minimize the Maximum Starting Time

Author

Listed:
  • Lingfa Lu

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China)

  • Liqi Zhang

    (College of Information and Management Science, Henan Agricultural University, Zhengzhou, Henan 450003, P. R. China)

Abstract

In this paper, we consider the online single machine scheduling problem to minimize the maximum starting time of the jobs. For the non-preemptive model, we show that there is no determined or randomized online algorithm with a bounded competitive ratio. For the preemption-resume model, we show that the well-known SRPT rule yields an optimal schedule. For the preemption-restart model, we show that any determined online algorithm has a competitive ratio of at least 2 and present an online algorithm with the best-possible competitive ratio of 2.

Suggested Citation

  • Lingfa Lu & Liqi Zhang, 2017. "Online Single Machine Scheduling to Minimize the Maximum Starting Time," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-9, October.
    • Handle: RePEc:wsi:apjorx:v:34:y:2017:i:05:n:s0217595917500221
    DOI: 10.1142/S0217595917500221
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0217595917500221
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0217595917500221?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. E. L. Lawler, 1973. "Optimal Sequencing of a Single Machine Subject to Precedence Constraints," Management Science, INFORMS, vol. 19(5), pages 544-546, January.
    2. Edward J. Anderson & Chris N. Potts, 2004. "Online Scheduling of a Single Machine to Minimize Total Weighted Completion Time," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 686-697, August.
    Full references (including those not matched with items on IDEAS)

    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. Enrique Gerstl & Gur Mosheiov, 2020. "Single machine scheduling to maximize the number of on-time jobs with generalized due-dates," Journal of Scheduling, Springer, vol. 23(3), pages 289-299, June.
    2. Ramachandra, Girish & Elmaghraby, Salah E., 2006. "Sequencing precedence-related jobs on two machines to minimize the weighted completion time," International Journal of Production Economics, Elsevier, vol. 100(1), pages 44-58, March.
    3. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    4. Bachtenkirch, David & Bock, Stefan, 2022. "Finding efficient make-to-order production and batch delivery schedules," European Journal of Operational Research, Elsevier, vol. 297(1), pages 133-152.
    5. Xing Chai & Lingfa Lu & Wenhua Li & Liqi Zhang, 2018. "Best-Possible Online Algorithms for Single Machine Scheduling to Minimize the Maximum Weighted Completion Time," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(06), pages 1-11, December.
    6. Dengpan Liu & Sumit Sarkar & Chelliah Sriskandarajah, 2010. "Resource Allocation Policies for Personalization in Content Delivery Sites," Information Systems Research, INFORMS, vol. 21(2), pages 227-248, June.
    7. Rubing Chen & Jinjiang Yuan, 2020. "Single-machine scheduling of proportional-linearly deteriorating jobs with positional due indices," 4OR, Springer, vol. 18(2), pages 177-196, June.
    8. Reha Uzsoy & Chung‐Yee Lee & Louis A. Martin‐Vega, 1992. "Scheduling semiconductor test operations: Minimizing maximum lateness and number of tardy jobs on a single machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(3), pages 369-388, April.
    9. Anna Arigliano & Gianpaolo Ghiani & Antonio Grieco & Emanuela Guerriero, 2017. "Single-machine time-dependent scheduling problems with fixed rate-modifying activities and resumable jobs," 4OR, Springer, vol. 15(2), pages 201-215, June.
    10. Jin Xu & Natarajan Gautam, 2020. "On competitive analysis for polling systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 404-419, September.
    11. Nicole Megow & Marc Uetz & Tjark Vredeveld, 2006. "Models and Algorithms for Stochastic Online Scheduling," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 513-525, August.
    12. Adam Kasperski & Paweł Zieliński, 2019. "Risk-averse single machine scheduling: complexity and approximation," Journal of Scheduling, Springer, vol. 22(5), pages 567-580, October.
    13. Jiang, Xiaojuan & Lee, Kangbok & Pinedo, Michael L., 2021. "Ideal schedules in parallel machine settings," European Journal of Operational Research, Elsevier, vol. 290(2), pages 422-434.
    14. Zhichao Geng & Jiayu Liu, 0. "Single machine batch scheduling with two non-disjoint agents and splitable jobs," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-22.
    15. Cheng, T. C. E. & Ng, C. T. & Yuan, J. J. & Liu, Z. H., 2005. "Single machine scheduling to minimize total weighted tardiness," European Journal of Operational Research, Elsevier, vol. 165(2), pages 423-443, September.
    16. Sitters, R.A., 2009. "Efficient algorithms for average completion time scheduling," Serie Research Memoranda 0058, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    17. Alessandro Agnetis & Dario Pacciarelli & Andrea Pacifici, 2007. "Multi-agent single machine scheduling," Annals of Operations Research, Springer, vol. 150(1), pages 3-15, March.
    18. Christian L. Cesar & Peter G. Jessel, 1992. "Real‐time task scheduling with overheads considered," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 247-264, March.
    19. El-Bouri, Ahmed & Balakrishnan, Subramaniam & Popplewell, Neil, 2000. "Sequencing jobs on a single machine: A neural network approach," European Journal of Operational Research, Elsevier, vol. 126(3), pages 474-490, November.
    20. S.S. Panwalkar & Christos Koulamas, 2015. "Scheduling research and the first decade of NRLQ: A historical perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(4), pages 335-344, June.

    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:wsi:apjorx:v:34:y:2017:i:05:n:s0217595917500221. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/apjor/apjor.shtml .

    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.