Skip to main content

Hierarchical Game and Bi-level Optimization for Controlling Network Usage Via Pricing

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 4465))

Abstract

Using the inherent relation between price and demand, a usage-based pricing mechanism can be an efficient tool for controlling the usage of scarce resource like bandwidth in access networks and wireless communication, where there is big competition between users. I propose here to describe my contributions in this field of network pricing and particularly dealing with hierarchical game. This kind of multi-level game is well adapted for optimizing the system manager’s decision taking into account the follower game between users. We propose the use of hierarchical games for studying different networking scenarios : optimal scheduling in a DiffServ router and uplink transmissions in a CDMA cell.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chown, T., Ferrari, T., Leinen, S., Sabatino, R., Simar, N., Venaas, S.: Less than Best Effort: Application Scenarios and Experimental Results. In: Ajmone Marsan, M., Listanti, G.C.M., Roveri, A. (eds.) QoS-IP 2003. LNCS, vol. 2601, pp. 131–144. Springer, Heidelberg (2003)

    Google Scholar 

  2. QBone Scavenger Service (QBSS), Internet2 QBone Initiative, http://qbone.internet2.edu/qbss/

  3. Analysis of Less-than-Best-Effort Services, TF-NGN LBE working group, http://www.cnaf.infn.it/~ferrari/tfngn/lbe/

  4. Bless, R., Nichols, K., Wehrle, K.: A Lower Effort Per-Domain Behavior for Differentiated Services. Internet Draft draft-bless-diffserv-pdb-le-01.txt, work in progress (November 2002)

    Google Scholar 

  5. Wang, Z.: Internet QoS — Architectures and Mechanisms for Quality of Service. Morgan Kaufman, San francisco (2001)

    Google Scholar 

  6. 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 

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

    Google Scholar 

  8. Mandjes, M.: Pricing Strategies under Heterogeneous Service Requirements. In: proceedings of IEEE Infocom (2003)

    Google Scholar 

  9. Odlyzko, A.: Paris Metro Pricing for the Internet. In: ACM Conference on Electronic Commerce (EC 1999), pp. 140–147 (1999)

    Google Scholar 

  10. Bard, J.: Practical Bilevel Optimization: Algorithms and Applications. Kluwer Academic Publishers, Dordrecht (1999)

    Google Scholar 

  11. Anandalingam, G., Friesz, T.: Hierarchical Optimization: an introduction. Annals of Operations Research 34 (1992)

    Google Scholar 

  12. Kleinrock, L.: Time-shared Systems: A Theoreticol Treatment. Journal of the Association of Computing Machinery 14 (1967)

    Google Scholar 

  13. Rege, K., Sengupta, B.: Queue-length Distribution for the Discriminatory Processor-Sharing Queue. Operations Research 44 (1996)

    Google Scholar 

  14. Fayolle, G., Mitrani, I., Iasnogorodki, R.: Sharing a Processor Among Many Job Classes. Journal of the Association of Computing Machinery 27 (1980)

    Google Scholar 

  15. Altman, E., Jimenez, T., Kofman, D.: DPS Queues with Stationary Ergodic Service Times and the Performance of TCP in Overload. In: proceedings of IEEE Infocom (2004)

    Google Scholar 

  16. Bu, T., Towsley, D.: Fixed Point approximations for TCP Behavior in an AQM Network. In: proceedings of ACM Sigmetrics (2001)

    Google Scholar 

  17. Ben Fredj, S., Bonald, T., Proutiere, A., Regnie, G., Roberts, J.: Statistical Bandwidth Sharing: a Study of Congestion at Flow Level. In: Proceedings of IEEE Sigcomm (2001)

    Google Scholar 

  18. Hayel, Y., Ros, D., Tuffin, B.: Less-than-Best Effort Services: Pricing and Scheduling. proceedings of IEEE Infocom (2004)

    Google Scholar 

  19. Hassin, R., Haviv, M.: To Queue or Not To Queue, Kluwer’s (2003)

    Google Scholar 

  20. Mitra, D., Weiss, A.: A Closed Network with a Discriminatory Processor-Sharing Server. In: proceedings of ACM Sigmetrics (1989)

    Google Scholar 

  21. Marbach, P., Berry, R.: Downlink Resource Allocation and Pricing for Wireless Networks. In: proceedings of IEEE Infocom (2002)

    Google Scholar 

  22. Saraydar, C., Mandayam, N., Goodman, D.: Efficient Power Control via Pricing in Wireless Data Networks. IEEE transactions on Communications 50(2) (2002)

    Google Scholar 

  23. Siris, V., Courcoubetis, C.: Resource Control for Loss-Sensitive Traffic in CDMA Networks. In: proceedings of IEEE Infocom (2004)

    Google Scholar 

  24. Kim, J., Honig, M.: Resource Allocation for Multiple Classes of DS-CDMA Traffic. IEEE Transactions on Vehicular Technology 49(2) (2000)

    Google Scholar 

  25. Viterbi, A.: CDMA. Principles of Spread Spectrum Communication. Addison-Wesley, Reading (1995)

    MATH  Google Scholar 

  26. Hayel, Y., Tuffin, B.: Pricing for Heteregeneous at a Discriminatory Processor Sharing Queue. In: proceedings of IFIP/Networking Conference (2005)

    Google Scholar 

  27. Basar, T., Srikant, R.: A Stackelberg Network Game with a Large Number of Followers. Journal of optimization theory and applications 115(3) (2002)

    Google Scholar 

  28. Charnes, A., Sorensen, S.: Hierarchical Games, Research Report, Texas University (1971)

    Google Scholar 

  29. Hayel, Y., Ramos, V., Tuffin, B.: Optimal Static Pricing of Reverse-link DS-CDMA Multiclass Traffic. In: proceedings of QEST (2006)

    Google Scholar 

  30. Weibull, J.: Evolutionary Game Theory. MIT Press, Cambridge (1997)

    Google Scholar 

  31. Clegg, J., Smith, M.: Cone Projection versus Half-space Projection for the Bilevel Optimisation of Transportation Networks. Transportation Reserach B, 35 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Tijani Chahed Bruno Tuffin

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hayel, Y. (2007). Hierarchical Game and Bi-level Optimization for Controlling Network Usage Via Pricing. In: Chahed, T., Tuffin, B. (eds) Network Control and Optimization. NET-COOP 2007. Lecture Notes in Computer Science, vol 4465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72709-5_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72709-5_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72708-8

  • Online ISBN: 978-3-540-72709-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics