IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v57y2010i3p266-278.html
   My bibliography  Save this article

Equitable bandwidth allocation in content distribution networks

Author

Listed:
  • Hanan Luss

Abstract

Applications for content distribution over networks, such as Video‐on‐Demand (VOD), are expected to grow significantly over time. Effective bandwidth allocation schemes that can be repeatedly executed must be deployed since new programs are often installed at various servers while other are deleted. We present a model for bandwidth allocation in a content distribution network that consists of multiple trees, where the root of each tree has a server that broadcasts multiple programs throughout the tree. Each network link has limited capacity and may be used by one or more of these trees. The model is formulated as an equitable resource allocation problem with a lexicographic maximin objective function that attempts to provide equitable service performance for all requested programs at the various nodes. The constraints include link capacity constraints and tree‐like ordering constraints imposed on each of the programs. We present an algorithm that provides an equitable solution in polynomial time for certain performance functions. At each iteration, the algorithm solves single‐link maximin optimization problems while relaxing the ordering constraints. The algorithm selects a bottleneck link, fixes various variables at their lexicographic optimal solution while enforcing the ordering constraints, and proceeds with the next iteration. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010

Suggested Citation

  • Hanan Luss, 2010. "Equitable bandwidth allocation in content distribution networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(3), pages 266-278, April.
    • Handle: RePEc:wly:navres:v:57:y:2010:i:3:p:266-278
    DOI: 10.1002/nav.20400
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20400
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20400?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. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
    2. Flippo, Olaf E. & Kolen, Antoon W. J. & Koster, Arie M. C. A. & van de Leensel, Robert L. M. J., 2000. "A dynamic programming algorithm for the local access telecommunication network expansion problem," European Journal of Operational Research, Elsevier, vol. 127(1), pages 189-202, November.
    3. Ogryczak, Wlodzimierz, 1997. "On the lexicographic minimax approach to location problems," European Journal of Operational Research, Elsevier, vol. 100(3), pages 566-585, August.
    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. Lehuédé, Fabien & Péton, Olivier & Tricoire, Fabien, 2020. "A lexicographic minimax approach to the vehicle routing problem with route balancing," European Journal of Operational Research, Elsevier, vol. 282(1), pages 129-147.
    2. Gang Liu & Weiqian Wang & Kevin W. Li, 2019. "Water Footprint Allocation under Equity and Efficiency Considerations: A Case Study of the Yangtze River Economic Belt in China," IJERPH, MDPI, vol. 16(5), pages 1-24, March.
    3. Liu, Songsong & Papageorgiou, Lazaros G., 2018. "Fair profit distribution in multi-echelon supply chains via transfer prices," Omega, Elsevier, vol. 80(C), pages 77-94.

    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. J. N. Hooker & H. P. Williams, 2012. "Combining Equity and Utilitarianism in a Mathematical Programming Model," Management Science, INFORMS, vol. 58(9), pages 1682-1693, September.
    2. Zhang Jiangao & Shitao Yang, 2016. "On the Lexicographic Centre of Multiple Objective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 600-614, February.
    3. Kostreva, Michael M. & Ogryczak, Wlodzimierz & Wierzbicki, Adam, 2004. "Equitable aggregations and multiple criteria analysis," European Journal of Operational Research, Elsevier, vol. 158(2), pages 362-377, October.
    4. Liu, Songsong & Papageorgiou, Lazaros G., 2013. "Multiobjective optimisation of production, distribution and capacity planning of global supply chains in the process industry," Omega, Elsevier, vol. 41(2), pages 369-382.
    5. Liu, Songsong & Papageorgiou, Lazaros G., 2018. "Fair profit distribution in multi-echelon supply chains via transfer prices," Omega, Elsevier, vol. 80(C), pages 77-94.
    6. Letsios, Dimitrios & Mistry, Miten & Misener, Ruth, 2021. "Exact lexicographic scheduling and approximate rescheduling," European Journal of Operational Research, Elsevier, vol. 290(2), pages 469-478.
    7. Erkut, Erhan & Karagiannidis, Avraam & Perkoulidis, George & Tjandra, Stevanus A., 2008. "A multicriteria facility location model for municipal solid waste management in North Greece," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1402-1421, June.
    8. Cao, Wenwei & Çelik, Melih & Ergun, Özlem & Swann, Julie & Viljoen, Nadia, 2016. "Challenges in service network expansion: An application in donated breastmilk banking in South Africa," Socio-Economic Planning Sciences, Elsevier, vol. 53(C), pages 33-48.
    9. Gendreau, Michel & Potvin, Jean-Yves & Smires, Ali & Soriano, Patrick, 2006. "Multi-period capacity expansion for a local access telecommunications network," European Journal of Operational Research, Elsevier, vol. 172(3), pages 1051-1066, August.
    10. Romauch, Martin & Hartl, Richard F., 2017. "Capacity planning for cluster tools in the semiconductor industry," International Journal of Production Economics, Elsevier, vol. 194(C), pages 167-180.
    11. Gabrielle Demange, 2021. "On the resolution of cross-liabilities," PSE Working Papers halshs-03151128, HAL.
    12. B. Golany & N. Goldberg & U. Rothblum, 2015. "Allocating multiple defensive resources in a zero-sum game setting," Annals of Operations Research, Springer, vol. 225(1), pages 91-109, February.
    13. George Kozanidis, 2009. "Solving the linear multiple choice knapsack problem with two objectives: profit and equity," Computational Optimization and Applications, Springer, vol. 43(2), pages 261-294, June.
    14. Amy Givler Chapman & John E. Mitchell, 2018. "A fair division approach to humanitarian logistics inspired by conditional value-at-risk," Annals of Operations Research, Springer, vol. 262(1), pages 133-151, March.
    15. Hervé Moulin & Jay Sethuraman, 2013. "The Bipartite Rationing Problem," Operations Research, INFORMS, vol. 61(5), pages 1087-1100, October.
    16. Muñuzuri, Jesús & Cuberos, Manuel & Abaurrea, Fátima & Escudero, Alejandro, 2017. "Improving the design of urban loading zone systems," Journal of Transport Geography, Elsevier, vol. 59(C), pages 1-13.
    17. Dugardin, Frédéric & Yalaoui, Farouk & Amodeo, Lionel, 2010. "New multi-objective method to solve reentrant hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 203(1), pages 22-31, May.
    18. Hanif D. Sherali & Raymond W. Staats & Antonio A. Trani, 2003. "An Airspace Planning and Collaborative Decision-Making Model: Part I—Probabilistic Conflicts, Workload, and Equity Considerations," Transportation Science, INFORMS, vol. 37(4), pages 434-456, November.
    19. Kalaı¨, Rim & Lamboray, Claude & Vanderpooten, Daniel, 2012. "Lexicographic α-robustness: An alternative to min–max criteria," European Journal of Operational Research, Elsevier, vol. 220(3), pages 722-728.
    20. Javier Arin & Juan Miguel Benito, 2012. "Lorenz and lexicographic maximal allocations for bankruptcy problems," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1202, Departamento de Economía - Universidad Pública de Navarra.

    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:57:y:2010:i:3:p:266-278. 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.