IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v53y2006i6p568-575.html
   My bibliography  Save this article

A heuristic for maximizing the number of on‐time jobs on two uniform parallel machines

Author

Listed:
  • Christos Koulamas
  • George J. Kyparisis

Abstract

We consider the problem of maximizing the number of on‐time jobs on two uniform parallel machines. We show that a straightforward extension of an algorithm developed for the simpler two identical parallel machines problem yields a heuristic with a worst‐case ratio bound of at least $5\over 3$. We then show that the infusion of a “look ahead” feature into the aforementioned algorithm results in a heuristic with the tight worst‐case ratio bound of $3\over 2$, which, to our knowledge, is the tightest worst‐case ratio bound available for the problem. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006

Suggested Citation

  • Christos Koulamas & George J. Kyparisis, 2006. "A heuristic for maximizing the number of on‐time jobs on two uniform parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(6), pages 568-575, September.
    • Handle: RePEc:wly:navres:v:53:y:2006:i:6:p:568-575
    DOI: 10.1002/nav.20161
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20161
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20161?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
    ---><---

    References listed on IDEAS

    as
    1. Labbe, Martine & Laporte, Gilbert & Martello, Silvano, 2003. "Upper bounds and algorithms for the maximum cardinality bin packing problem," European Journal of Operational Research, Elsevier, vol. 149(3), pages 490-498, September.
    2. Paul Mireault & James B. Orlin & Rakesh V. Vohra, 1997. "A Parametric Worst Case Analysis of the LPT Heuristic for Two Uniform Machines," Operations Research, INFORMS, vol. 45(1), pages 116-125, February.
    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. Dell’Amico, Mauro & Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2019. "Mathematical models and decomposition methods for the multiple knapsack problem," European Journal of Operational Research, Elsevier, vol. 274(3), pages 886-899.
    2. Koulamas, Christos & Kyparisis, George J., 2009. "A modified LPT algorithm for the two uniform parallel machine makespan minimization problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 61-68, July.
    3. Alan J. Soper & Vitaly A. Strusevich, 2021. "Parametric analysis of the quality of single preemption schedules on three uniform parallel machines," Annals of Operations Research, Springer, vol. 298(1), pages 469-495, March.
    4. de Souza, Mauricio C. & de Carvalho, Carlos R.V. & Brizon, Wellington B., 2008. "Packing items to feed assembly lines," European Journal of Operational Research, Elsevier, vol. 184(2), pages 480-489, January.
    5. Ivar Massabò & Giuseppe Paletta & Alex J. Ruiz-Torres, 2016. "A note on longest processing time algorithms for the two uniform parallel machine makespan minimization problem," Journal of Scheduling, Springer, vol. 19(2), pages 207-211, April.
    6. Qian Cao & Zhaohui Liu, 2010. "Semi-online scheduling with known maximum job size on two uniform machines," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 369-384, November.
    7. Liao, Ching-Jong & Lin, Chien-Hung, 2003. "Makespan minimization for two uniform parallel machines," International Journal of Production Economics, Elsevier, vol. 84(2), pages 205-213, May.
    8. Alex Fukunaga, 2011. "A branch-and-bound algorithm for hard multiple knapsack problems," Annals of Operations Research, Springer, vol. 184(1), pages 97-119, April.
    9. Federico Della Croce & Rosario Scatamacchia, 2020. "The Longest Processing Time rule for identical parallel machines revisited," Journal of Scheduling, Springer, vol. 23(2), pages 163-176, April.
    10. Federico Della Croce & Rosario Scatamacchia & Vincent T’kindt, 2019. "A tight linear time $$\frac{13}{12}$$ 13 12 -approximation algorithm for the $$P2 || C_{\max }$$ P 2 | | C max problem," Journal of Combinatorial Optimization, Springer, vol. 38(2), pages 608-617, August.
    11. Walter, Rico & Lawrinenko, Alexander, 2017. "Lower bounds and algorithms for the minimum cardinality bin covering problem," European Journal of Operational Research, Elsevier, vol. 256(2), pages 392-403.
    12. Kumar Satyendra & Venkata Rao, V. & Tirupati Devanath, 2003. "A heuristic procedure for one dimensional bin packing problem with additional constraints," IIMA Working Papers WP2003-11-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    13. Neiva de Figueiredo, João & Mayerle, Sérgio Fernando, 2014. "A systemic approach for dimensioning and designing anaerobic bio-digestion/energy generation biomass supply networks," Renewable Energy, Elsevier, vol. 71(C), pages 690-694.
    14. Mayerle, Sérgio Fernando & Neiva de Figueiredo, João, 2016. "Designing optimal supply chains for anaerobic bio-digestion/energy generation complexes with distributed small farm feedstock sourcing," Renewable Energy, Elsevier, vol. 90(C), pages 46-54.
    15. Leah Epstein, 2018. "A survey on makespan minimization in semi-online environments," Journal of Scheduling, Springer, vol. 21(3), pages 269-284, June.
    16. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.

    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:wly:navres:v:53:y:2006:i:6:p:568-575. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.