IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v65y2007i2p199-228.html
   My bibliography  Save this article

Multirate multicast service provisioning I: an algorithm for optimal price splitting along multicast trees

Author

Listed:
  • Tudor Stoenescu
  • Mingyan Liu
  • Demosthenis Teneketzis

Abstract

In this two-part paper we present a general framework for addressing the optimal rare control problem in multirate multicast where the objective is the maximization of a social welfare function expressed by the sum of the users’ utility functions. Specifically, we propose a market-based mechanism that satisfies the informational constraints imposed by the decentralization of information in multirate multicast service provisioning, and achieves an optimal solution to the corresponding centralized optimization problem. In Part I we discover properties of an optimal solution to the centralized problem. Based on these properties, we develop a distributed algorithm that determines how link prices are split among users whose connections along a multicast tree share the same link. Copyright Springer-Verlag 2007

Suggested Citation

  • Tudor Stoenescu & Mingyan Liu & Demosthenis Teneketzis, 2007. "Multirate multicast service provisioning I: an algorithm for optimal price splitting along multicast trees," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(2), pages 199-228, April.
    • Handle: RePEc:spr:mathme:v:65:y:2007:i:2:p:199-228
    DOI: 10.1007/s00186-006-0120-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-006-0120-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00186-006-0120-2?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. Panagiotis Thomas & Demosthenis Teneketzis & Jeffrey K. Mackie-Mason, 2002. "A Market-Based Approach to Optimal Resource Allocation in Integrated-Services Connection-Oriented Networks," Operations Research, INFORMS, vol. 50(4), pages 603-616, August.
    2. Tudor Mihai Stoenescu & Demosthenis Teneketzis, 2002. "A pricing methodology for resource allocation and routing in integrated-services networks with quality of service requirements," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(2), pages 151-167, November.
    3. Eric Friedman, 1999. "Optimization Based Characterizations of Cost Sharing Methods," Departmental Working Papers 199918, Rutgers University, Department of Economics.
    4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    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. Rayati, Mohammad & Teneketzis, Demosthenis, 2022. "Electricity market design and implementation in the presence of asymmetrically informed strategic producers and consumers: A surrogate optimization-based mechanism," Energy Economics, Elsevier, vol. 109(C).

    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. Tudor Stoenescu & Mingyan Liu & Demosthenis Teneketzis, 2007. "Multirate multicast service provisioning II: a tâtonnement process for rate allocation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(3), pages 389-415, June.
    2. Panos Parpas & Berç Rustem, 2008. "A Pricing Mechanism for Resource Management in Grid Computing," Computational Economics, Springer;Society for Computational Economics, vol. 31(4), pages 381-395, May.
    3. Wright, Austin L. & Sonin, Konstantin & Driscoll, Jesse & Wilson, Jarnickae, 2020. "Poverty and economic dislocation reduce compliance with COVID-19 shelter-in-place protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 544-554.
    4. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    5. Vadim Borokhov, 2014. "On the properties of nodal price response matrix in electricity markets," Papers 1404.3678, arXiv.org, revised Jan 2015.
    6. Gan, Li & Ju, Gaosheng & Zhu, Xi, 2015. "Nonparametric estimation of structural labor supply and exact welfare change under nonconvex piecewise-linear budget sets," Journal of Econometrics, Elsevier, vol. 188(2), pages 526-544.
    7. Peterson, Jeffrey M. & Boisvert, Richard N. & de Gorter, Harry, 1999. "Multifunctionality and Optimal Environmental Policies for Agriculture in an Open Economy," Working Papers 127701, Cornell University, Department of Applied Economics and Management.
    8. Aldasoro, Iñaki & Delli Gatti, Domenico & Faia, Ester, 2017. "Bank networks: Contagion, systemic risk and prudential policy," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 164-188.
    9. Gatti, Nicolas & Cecil, Michael & Baylis, Kathy & Estes, Lyndon & Blekking, Jordan & Heckelei, Thomas & Vergopolan, Noemi & Evans, Tom, 2023. "Is closing the agricultural yield gap a “risky” endeavor?," Agricultural Systems, Elsevier, vol. 208(C).
    10. Chorvat, Terrence, 2006. "Taxing utility," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 35(1), pages 1-16, February.
    11. Delgado, Michael S. & Khanna, Neha, 2015. "Voluntary Pollution Abatement and Regulation," Agricultural and Resource Economics Review, Cambridge University Press, vol. 44(1), pages 1-20, April.
    12. Bhattacharya, D., 2018. "Income Effects and Rationalizability in Multinomial Choice Models," Cambridge Working Papers in Economics 1884, Faculty of Economics, University of Cambridge.
    13. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    14. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    15. Che-Yuan Liang, 2017. "Optimal inequality behind the veil of ignorance," Theory and Decision, Springer, vol. 83(3), pages 431-455, October.
    16. Shino, Junnosuke, 2013. "A positive theory of fixed-rate funds-supplying operations in an accommodative financial environment," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 595-610.
    17. Peysakhovich, Alexander & Plagborg-Møller, Mikkel, 2012. "A note on proper scoring rules and risk aversion," Economics Letters, Elsevier, vol. 117(1), pages 357-361.
    18. Badics, Tamás, 2011. "Az arbitrázs preferenciákkal történő karakterizációjáról [On the characterization of arbitrage in terms of preferences]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 727-742.
    19. Peters, Glen, 2008. "Reassessing Carbon Leakage," Conference papers 331753, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    20. Vizard, Polly, 2005. "The contributions of Professor Amartya Sen in the field of human rights," LSE Research Online Documents on Economics 6273, London School of Economics and Political Science, LSE Library.

    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:spr:mathme:v:65:y:2007:i:2:p:199-228. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.