IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v218y2012i1p68-75.html
   My bibliography  Save this article

Power-aware scheduling of preemptable jobs on identical parallel processors to meet deadlines

Author

Listed:
  • Różycki, R.
  • Węglarz, J.

Abstract

This paper deals with a power-aware scheduling of preemptable independent jobs on identical parallel processors where ready time for each job is given and its completion time has to meet a given deadline. Jobs are described by (different) continuous, strictly concave functions relating their processing speeds at a time to the amount of power allotted at the moment. Power is a continuous, doubly constrained resource, i.e. both: its availability at each time instant and consumption over scheduling horizon are constrained. A methodology based on properties of minimum-length schedules is utilized to determine the existence of a feasible schedule for given amounts of energy and power. The question about minimum levels of power and energy ensuring the existence of a feasible schedule for a given set of jobs is also studied.

Suggested Citation

  • Różycki, R. & Węglarz, J., 2012. "Power-aware scheduling of preemptable jobs on identical parallel processors to meet deadlines," European Journal of Operational Research, Elsevier, vol. 218(1), pages 68-75.
    • Handle: RePEc:eee:ejores:v:218:y:2012:i:1:p:68-75
    DOI: 10.1016/j.ejor.2011.10.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221711009362
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2011.10.017?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. Jan Weogon glarz, 1981. "Project Scheduling with Continuously-Divisible, Doubly Constrained Resources," Management Science, INFORMS, vol. 27(9), pages 1040-1053, September.
    2. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    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. Figielska, Ewa, 2014. "A heuristic for scheduling in a two-stage hybrid flowshop with renewable resources shared among the stages," European Journal of Operational Research, Elsevier, vol. 236(2), pages 433-444.
    2. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.

    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. Estévez-Fernández, Arantza, 2012. "A game theoretical approach to sharing penalties and rewards in projects," European Journal of Operational Research, Elsevier, vol. 216(3), pages 647-657.
    2. Servranckx, Tom & Vanhoucke, Mario, 2019. "Strategies for project scheduling with alternative subgraphs under uncertainty: similar and dissimilar sets of schedules," European Journal of Operational Research, Elsevier, vol. 279(1), pages 38-53.
    3. Luis F. Machado-Domínguez & Carlos D. Paternina-Arboleda & Jorge I. Vélez & Agustin Barrios-Sarmiento, 2021. "A memetic algorithm to address the multi-node resource-constrained project scheduling problem," Journal of Scheduling, Springer, vol. 24(4), pages 413-429, August.
    4. Ellinas, Christos & Allan, Neil & Johansson, Anders, 2016. "Project systemic risk: Application examples of a network model," International Journal of Production Economics, Elsevier, vol. 182(C), pages 50-62.
    5. Jeunet, Jully & Bou Orm, Mayassa, 2020. "Optimizing temporary work and overtime in the Time Cost Quality Trade-off Problem," European Journal of Operational Research, Elsevier, vol. 284(2), pages 743-761.
    6. Lin, Jun & Qian, Yanjun & Cui, Wentian & Goh, Thong Ngee, 2015. "An effective approach for scheduling coupled activities in development projects," European Journal of Operational Research, Elsevier, vol. 243(1), pages 97-108.
    7. Geng, Zhichao & Yuan, Jinjiang, 2023. "Single-machine scheduling of multiple projects with controllable processing times," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1074-1090.
    8. Mick Van Den Eeckhout & Broos Maenhout & Mario Vanhoucke, 2020. "Mode generation rules to define activity flexibility for the integrated project staffing problem with discrete time/resource trade-offs," Annals of Operations Research, Springer, vol. 292(1), pages 133-160, September.
    9. Grzegorz Waligóra, 2016. "Comparative Analysis of Some Metaheuristics for Discrete-Continuous Project Scheduling with Activities of Identical Processing Rates," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-32, June.
    10. Tritschler, Martin & Naber, Anulark & Kolisch, Rainer, 2017. "A hybrid metaheuristic for resource-constrained project scheduling with flexible resource profiles," European Journal of Operational Research, Elsevier, vol. 262(1), pages 262-273.
    11. Klaus Werner Schmidt & Öncü Hazır, 2019. "Formulation and solution of an optimal control problem for industrial project control," Annals of Operations Research, Springer, vol. 280(1), pages 337-350, September.
    12. Bahram Alidaee & Haibo Wang & R. Bryan Kethley & Frank Landram, 2019. "A unified view of parallel machine scheduling with interdependent processing rates," Journal of Scheduling, Springer, vol. 22(5), pages 499-515, October.
    13. Zhang, Jingwen & Elmaghraby, Salah E., 2014. "The relevance of the “alphorn of uncertainty” to the financial management of projects under uncertainty," European Journal of Operational Research, Elsevier, vol. 238(1), pages 65-76.
    14. Roland Braune & Karl F. Doerner, 2017. "Real-world flexible resource profile scheduling with multiple criteria: learning scalarization functions for MIP and heuristic approaches," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 952-972, August.
    15. Jozefowska, Joanna & Weglarz, Jan, 1998. "On a methodology for discrete-continuous scheduling," European Journal of Operational Research, Elsevier, vol. 107(2), pages 338-353, June.
    16. Luise-Sophie Hoffmann & Carolin Kellenbrink & Stefan Helber, 2020. "Simultaneous structuring and scheduling of multiple projects with flexible project structures," Journal of Business Economics, Springer, vol. 90(5), pages 679-711, June.
    17. Drexl, Andreas & Grünewald, Jürgen, 1989. "Nonpreemptive multi-mode resource-constrained project scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 236, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    18. Servranckx, Tom & Vanhoucke, Mario, 2019. "A tabu search procedure for the resource-constrained project scheduling problem with alternative subgraphs," European Journal of Operational Research, Elsevier, vol. 273(3), pages 841-860.
    19. Kellenbrink, Carolin & Helber, Stefan, 2015. "Scheduling resource-constrained projects with a flexible project structure," European Journal of Operational Research, Elsevier, vol. 246(2), pages 379-391.
    20. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.

    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:ejores:v:218:y:2012:i:1:p:68-75. 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/eor .

    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.