IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v47y2000i6p531-540.html
   My bibliography  Save this article

Explicit solution of partitioning problems over a 1‐dimensional parameter space

Author

Listed:
  • Frank K. Hwang
  • Shmuel Onn
  • Uriel G. Rothblum

Abstract

We consider a class of partitioning problems where the partitioned set is a finite set of real numbers and the objective function of a partition is a function of the vector whose coordinates are the sums of the elements in each part of the given partition (the number of such parts is assumed given). We obtain an explicit solution of such partitioning problem with polynomial complexity bounds. © John Wiley & Sons, Inc. Naval Research Logistics 47: 531–540, 2000

Suggested Citation

  • Frank K. Hwang & Shmuel Onn & Uriel G. Rothblum, 2000. "Explicit solution of partitioning problems over a 1‐dimensional parameter space," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(6), pages 531-540, September.
    • Handle: RePEc:wly:navres:v:47:y:2000:i:6:p:531-540
    DOI: 10.1002/1520-6750(200009)47:63.0.CO;2-K
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(200009)47:63.0.CO;2-K
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(200009)47:63.0.CO;2-K?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. A. K. Chakravarty & J. B. Orlin & U. G. Rothblum, 1985. "Consecutive Optimizers for a Partitioning Problem with Applications to Optimal Inventory Groupings for Joint Replenishment," Operations Research, INFORMS, vol. 33(4), pages 820-834, 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. Yann Braouezec, 2013. "The Welfare Effects of Regulating the Number of Market Segments," Working Papers 2013-ECO-11, IESEG School of Management.
    2. Braouezec, Yann, 2016. "On the welfare effects of regulating the number of discriminatory prices," Research in Economics, Elsevier, vol. 70(4), pages 588-607.
    3. Gerard J. Chang & Fu-Loong Chen & Lingling Huang & Frank K. Hwang & Su-Tzu Nuan & Uriel G. Rothblum & I-Fan Sun & Jan-Wen Wang & Hong-Gwa Yeh, 1998. "Sortabilities of Partition Properties," Journal of Combinatorial Optimization, Springer, vol. 2(4), pages 413-427, December.
    4. Amiya K. Chakravarty & G. E. Martin, 1989. "Discount pricing policies for inventories subject to declining demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 89-102, February.
    5. Frank K. Hwang & Uriel G. Rothblum, 2011. "On the number of separable partitions," Journal of Combinatorial Optimization, Springer, vol. 21(4), pages 423-433, May.
    6. Jia Shu & Chung-Piaw Teo & Zuo-Jun Max Shen, 2005. "Stochastic Transportation-Inventory Network Design Problem," Operations Research, INFORMS, vol. 53(1), pages 48-60, February.
    7. Chung‐Lun Li & Zhi‐Long Chen, 2006. "Bin‐packing problem with concave costs of bin utilization," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(4), pages 298-308, June.
    8. Max Shen, Zuo-Jun & Qi, Lian, 2007. "Incorporating inventory and routing costs in strategic location models," European Journal of Operational Research, Elsevier, vol. 179(2), pages 372-389, June.

    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:47:y:2000:i:6:p:531-540. 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.