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.
    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. Jolian McHardy & Michael Reynolds & Stephen Trotter, 2012. "The Stackelberg Model as a Partial Solution to the Problem of Pricing in a Network," Working Paper series 19_12, Rimini Centre for Economic Analysis.
    5. 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.
    6. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Can Coasean Bargaining Justify Pigouvian Taxation?," Economica, London School of Economics and Political Science, vol. 74(296), pages 573-585, November.
    7. Vadim Borokhov, 2014. "On the properties of nodal price response matrix in electricity markets," Papers 1404.3678, arXiv.org, revised Jan 2015.
    8. Daniel Sutter & Daniel J. Smith, 2017. "Coordination in disaster: Nonprice learning and the allocation of resources after natural disasters," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 30(4), pages 469-492, December.
    9. Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
    10. 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.
    11. 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.
    12. Tian, Guoqiang, 2009. "Implementation of Pareto efficient allocations," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 113-123, January.
    13. Ahmad Naimzada & Marina Pireddu, 2019. "The first fundamental theorem of welfare in a general equilibrium evolutionary setting," Working Papers 415, University of Milano-Bicocca, Department of Economics, revised 06 Jun 2019.
    14. Gajanan Panchal & Vipul Jain & Naoufel Cheikhrouhou & Matthias Gurtner, 2017. "Equilibrium analysis in multi-echelon supply chain with multi-dimensional utilities of inertial players," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 16(4), pages 417-436, August.
    15. 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.
    16. 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).
    17. Aldo Montesano, 2018. "Social welfare for an economy of angelic agents," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 65(2), pages 185-200, June.
    18. Alexei A. Gaivoronski & Per Jonny Nesse & Olai Bendik Erdal, 2017. "Internet service provision and content services: paid peering and competition between internet providers," Netnomics, Springer, vol. 18(1), pages 43-79, May.
    19. Romero-Jordán, Desiderio & del Río, Pablo & Peñasco, Cristina, 2016. "An analysis of the welfare and distributive implications of factors influencing household electricity consumption," Energy Policy, Elsevier, vol. 88(C), pages 361-370.
    20. Araoz, Veronica & Jörnsten, Kurt, 2011. "Semi-Lagrangean approach for price discovery in markets with non-convexities," European Journal of Operational Research, Elsevier, vol. 214(2), pages 411-417, October.

    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.