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Proportional QoS in Differentiated Services Networks: Capacity Management, Equilibrium Analysis and Elastic Demands

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Internet and Network Economics (WINE 2005)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3828))

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Abstract

The Differentiated Services (Diffserv) architecture is a scalable solution for providing Quality of Service (QoS) over packet switched networks. By its very definition, Diffserv is not intended to provide strict performance guarantees to its subscribers. We purpose in this paper a particular form of relative performance guarantees. Specifically, the network manager’s goal is to maintain pre-defined ratios between common congestion measures over the different service classes. We assume that each service class is advertised with a constant price. Thus, in order to induce its goal, the manager dynamically allocates available capacity between the service classes. This scheme is studied within a network flow model, with self-optimizing users, where each user can choose the amount of flow to ship on each service class according to its service utility and QoS requirements. We pose the entire problem as a non-cooperative game. Concentrating on a simplified single-link model with multiple service classes, we establish the existence and uniqueness of the Nash equilibrium where the relative performance goal is obtained. Accordingly, we show how to compute and sustain the required capacity assignment. The extension to a general network topology is briefly outlined.

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References

  1. Altman, E., Wynter, L.: Equilibrium, games, and pricing in transportation and telecommunications networks. Networks and Spacial Economics 4(1), 7–21 (2004)

    Article  MATH  Google Scholar 

  2. Baker, F., Chan, K., Smith, A.: Management information base for the differentiated services architecture. RFC 3289 (2002)

    Google Scholar 

  3. Bertsekas, D.P., Gallager, R.G.: Data Networks. Prentice-Hall, Englewood Cliffs (1992)

    MATH  Google Scholar 

  4. Blake, S., Black, D., Carlson, M., Davies, E., Wang, Z., Weiss, W.: An architecture for differentiated services. RFC 2475 (1998)

    Google Scholar 

  5. Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2003)

    Google Scholar 

  6. Courcoubetis, C., Weber, R.: Pricing Communication Networks: Economics, Technology and Modelling. Wiley, Chichester (2003)

    Book  Google Scholar 

  7. Davie, B., Charny, A., Bennett, J., Benson, K., Boudec, J.L., Courtney, W., Davari, S., Firoiu, V., Stiliadis, D.: An expedited forwarding PHB (per-hop behavior). RFC 3246 (2001)

    Google Scholar 

  8. Dovrolis, C., Stiliadis, D., Ramanathan, P.: Proportional differentiated services: Delay differentiation and packet scheduling. IEEE/ACM Transactions on Networking (2002)

    Google Scholar 

  9. Hayel, Y., Ros, D., Tuffin, B.: Less-than-best-effort services: Pricing and scheduling. In: Proceedings of IEEE INFOCOM (2004)

    Google Scholar 

  10. Heinanen, J., Baker, F., Weiss, W., Wroclawski, J.: Assured forwarding PHB group. RFC 2597 (1999)

    Google Scholar 

  11. Kelly, F.P., Maulloo, A., Tan, D.: Rate control in communication networks: shadow prices, proportional fairness and stability. Journal of the Operational Research Society 49, 237–252 (1998)

    MATH  Google Scholar 

  12. Korilis, Y.A., Lazar, A.A., Orda, A.: Architecting noncooperative networks. IEEE Journal on Selected Areas in Communication 13(7), 1241–1251 (1995)

    Article  Google Scholar 

  13. Mandjes, M.: Pricing strategies under heterogeneous service requirements. In: Proceedings of IEEE INFOCOM, pp. 1210–1220 (2003)

    Google Scholar 

  14. Menache, I., Shimkin, N.: Capacity assignment in Diffserv networks for proportional QoS. Technical Report CCIT-544, Technion (July 2005)

    Google Scholar 

  15. Menache, I., Shimkin, N.: Proportional QoS in differentiated services networks: Capacity management, equilibrium analysis and elastic demands (July 2005), Extended version , Available from: http://www.ee.technion.ac.il/people/shimkin/preprints/MS05x.pdf

  16. Mendelson, H., Whang, S.: Optimal incentive-compatible priority pricing for the M/M/1 queue. Operations Research 38, 870–883 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  17. Odlyzko, A.M.: Paris metro pricing for the internet. In: Proceedings of the ACM Conference on Electronic Commerce, pp. 140–147 (1999)

    Google Scholar 

  18. Orda, A., Rom, R., Shimkin, N.: Competitive routing in multi-user environments. IEEE/ACM Transactions on Networking 1, 510–521 (1993)

    Article  Google Scholar 

  19. Parekh, A.K., Gallager, R.G.: A generalized processor sharing approach to flow control in integrated services networks: the single-node case. IEEE/ACM Transactions on Networking 1(3), 344–357 (1993)

    Article  Google Scholar 

  20. Richman, O., Shimkin, N.: Topological uniqueness of the Nash equilibrium for non-cooperative routing. Mathematics of Operations Research (October 2004) (submitted for publication)

    Google Scholar 

  21. Roughgarden, T.: Selfish Routing and the Price of Anarchy. MIT Press, Cambridge (2005)

    Google Scholar 

  22. Xiao, X., Ni, L.M.: Internet QoS: A big picture. IEEE Network 36(11), 8–18 (1999)

    Article  Google Scholar 

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Menache, I., Shimkin, N. (2005). Proportional QoS in Differentiated Services Networks: Capacity Management, Equilibrium Analysis and Elastic Demands. In: Deng, X., Ye, Y. (eds) Internet and Network Economics. WINE 2005. Lecture Notes in Computer Science, vol 3828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11600930_73

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  • DOI: https://doi.org/10.1007/11600930_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30900-0

  • Online ISBN: 978-3-540-32293-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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