IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v65y2014i1p151-157.html
   My bibliography  Save this article

Polynomial time solutions for scheduling problems on a proportionate flowshop with two competing agents

Author

Listed:
  • B Mor

    (The Department of Economics and Business Administration, Ariel University Center of Samaria, Israel)

  • G Mosheiov

    (The Hebrew University, Jerusalem, Israel)

Abstract

In scheduling problems with two competing agents, each one of the agents has his own set of jobs and his own objective function, but both share the same processor. The goal is to minimize the value of the objective function of one agent, subject to an upper bound on the value of the objective function of the second agent. In this paper we study two-agent scheduling problems on a proportionate flowshop. Three objective functions of the first agent are considered: minimum maximum cost of all the jobs, minimum total completion time, and minimum number of tardy jobs. For the second agent, an upper bound on the maximum allowable cost is assumed. We introduce efficient polynomial time solution algorithms for all cases.

Suggested Citation

  • B Mor & G Mosheiov, 2014. "Polynomial time solutions for scheduling problems on a proportionate flowshop with two competing agents," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(1), pages 151-157, January.
    • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:1:p:151-157
    as

    Download full text from publisher

    File URL: http://www.palgrave-journals.com/jors/journal/v65/n1/pdf/jors20139a.pdf
    File Function: Link to full text PDF
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: http://www.palgrave-journals.com/jors/journal/v65/n1/full/jors20139a.html
    File Function: Link to full text HTML
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Citations

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


    Cited by:

    1. Baruch Mor & Gur Mosheiov, 2017. "A two-agent single machine scheduling problem with due-window assignment and a common flow-allowance," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1454-1468, May.
    2. Jin Qian & Haiyan Han, 2022. "Improved algorithms for proportionate flow shop scheduling with due-window assignment," Annals of Operations Research, Springer, vol. 309(1), pages 249-258, February.
    3. Baruch Mor & Gur Mosheiov, 2016. "Minimizing maximum cost on a single machine with two competing agents and job rejection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(12), pages 1524-1531, December.
    4. Byung-Cheon Choi & Myoung-Ju Park, 2016. "An Ordered Flow Shop with Two Agents," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-24, October.
    5. Yaping Fu & Hongfeng Wang & Guangdong Tian & Zhiwu Li & Hesuan Hu, 2019. "Two-agent stochastic flow shop deteriorating scheduling via a hybrid multi-objective evolutionary algorithm," Journal of Intelligent Manufacturing, Springer, vol. 30(5), pages 2257-2272, June.
    6. Shesh Narayan Sahu & Yuvraj Gajpal & Swapan Debbarma, 2018. "Two-agent-based single-machine scheduling with switchover time to minimize total weighted completion time and makespan objectives," Annals of Operations Research, Springer, vol. 269(1), pages 623-640, October.
    7. Abdennour Azerine & Mourad Boudhar & Djamal Rebaine, 2022. "A two-machine no-wait flow shop problem with two competing agents," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 168-199, January.
    8. Byung-Gyoo Kim & Byung-Cheon Choi & Myoung-Ju Park, 2017. "Two-Machine and Two-Agent Flow Shop with Special Processing Times Structures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-17, August.
    9. S.S. Panwalkar & Christos Koulamas, 2015. "On equivalence between the proportionate flow shop and single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 595-603, October.
    10. Mehdi Rajabi Asadabadi, 2017. "A developed slope order index (SOI) for bottlenecks in projects and production lines," Computational Management Science, Springer, vol. 14(2), pages 281-291, April.

    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:pal:jorsoc:v:65:y:2014:i:1:p:151-157. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.palgrave-journals.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.