Skip to main content

Stability in Heterogeneous Dynamic Multimedia Networks

  • Chapter
  • First Online:
Algorithms, Probability, Networks, and Games

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9295))

  • 1153 Accesses

Abstract

Internet and other multimedia packet-switched networks are heterogeneous due to the simultaneous running (composition) of different contention-resolution protocols over different network hosts and the existence of various types of network links. Also, real networks are dynamic in their nature due to intentional or unintentional changes on network link service rates or tra nsient link failures. Our interest is focused on FIFO compositions with other contention-resolution protocols due to the FIFO popularity for offering best-effort services in packet-switched networks. A packet-switched network is stable, if the number of packets in the network remains bounded at all times against any adversary. We use an enhanced adversarial framework that is based on an adversary that controls packet injection rates, along with packet paths, and manipulates link slowdowns or capacities. Within this framework, we study the impact of specific compositions of FIFO with other protocols on the network stability using as a test-bed specific network topologies which have been proved forbidden for stability for a single protocol, fixed link slowdowns/capacities and packet paths without repeated links/edges. Our results suggest that the instability behavior of a network using FIFO compositions under adversarial attacks, that dynamically change link slowdowns/capacities, is not only maintained, but, also, may become worse than in the case of attacks that do not change slowdowns/capacities or when a single protocol, like FIFO, is employed on all network queues for contention-resolution. We believe that this study can advance the research for the provision of trustworthy heterogeneous networks.

This research is dedicated to my teacher Prof. Spirakis, who contributed decisively to the formation of my academic personality, in honor of his 60th birthday.

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

Access this chapter

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 EPUB and 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

Institutional subscriptions

References

  1. Alvarez, C., Blesa, M., Serna, M.: A characterization of universal stability in the adversarial queuing model. SIAM J. Comput. 34, 41–66 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  2. Alvarez, C., Blesa, M., Serna, M.: The robustness of stability under link and node failures. Theor. Comput. Sci. 412, 6855–6878 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  3. Andrews, M.: Instability of FIFO in the permanent sessions model at arbitrarily small network loads. ACM Trans. Algorithms 5(3), 1–29 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  4. Andrews, M., Awerbuch, B., Fernández, A., Kleinberg, J., Leighton, T., Liu, Z.: Universal stability results for greedy contention-resolution protocols. J. ACM 48, 39–69 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  5. Berger, D., Karsten, M., Schmitt, J.: On the relevance of adversarial queueing theory in practice. In: Proceedings of the ACM International Conference on Measurement and Modeling of Computer Systems, pp. 343–354 (2014)

    Google Scholar 

  6. Berger, D., Karsten, M., Schmitt, J.: Simulation of adversarial scenarios in OMNeT++: putting adversarial queueing theory from its head to feet. In: Proceedings of the 6th International ICST Conference on Simulation Tools and Techniques, pp. 291–298 (2013)

    Google Scholar 

  7. Bhattacharjiee, R., Goel, A., Lotker, Z.: Instability of FIFO at arbitrarily low rates in the adversarial queueing model. SIAM J. Comput. 34(2), 318–332 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  8. Blesa, M.J.: Deciding stability in packet-switched FIFO networks under the adversarial queuing model in polynomial time\(^{,}\). In: Fraigniaud, P. (ed.) DISC 2005. LNCS, vol. 3724, pp. 429–441. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Blesa, M., Calzada, D., Fernandez, A., Lopez, L.: Adversarial queueing model for continuous network dynamics. Theory Comput. Syst. 44, 304–331 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Borodin, A., Kleinberg, J., Raghavan, P., Sudan, M., Williamson, D.: Adversarial queueing theory. J. ACM 48, 13–38 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  11. Borodin, A., Ostrovsky, R., Rabani, Y.: Stability preserving transformations: packet routing networks with edge capacities and speeds. In: Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 601–610 (2001)

    Google Scholar 

  12. Chlebus, B.S., Cholvi, V., Kowalski, D.R.: Stability of adversarial routing with feedback. In: Gramoli, V., Guerraoui, R. (eds.) NETYS 2013. LNCS, vol. 7853, pp. 206–220. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  13. Chlebus, B.S., Kowalski, D.R., Rokicki, M.A.: Adversarial queuing on the multiple access channel. ACM Trans. Algorithms 8(1), article 5 (2012). doi:10.1145/2071379.2071384

  14. Cholvi, V., Echague, J., Fernandez, A.: Stability of FIFO networks under adversarial models: state of the art, computer networks. Int. J. Comput. Telecommun. Netw. 51(15), 4460–4474 (2007)

    Article  Google Scholar 

  15. Diaz, J., Koukopoulos, D., Nikoletseas, S., Serna, M., Spirakis, P., Thilikos, D.: Stability and non-stability of the FIFO protocol. In: Proceedings of the 13th Annual ACM Symposium on Parallel Algorithms and Architectures, pp. 48–52 (2001)

    Google Scholar 

  16. Floyd, S., Paxson, V.: Difficulties in simulating the Internet. IEEE/ACM Trans. Netw. 9, 392–403 (2001)

    Article  Google Scholar 

  17. Koukopoulos, D.: Instability behaviour of heterogeneous multimedia networks under dynamic adversarial attacks. J. Math. Comput. Model. 57, 2671–2684 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  18. Koukopoulos, D.: The impact of FIFO compositions with other protocols on the stability of multimedia networks facing dynamic adversarial attacks. In: Proceedings of the 5th International Conference on Multimedia Information Networking and Security, pp. 575–578 (2013)

    Google Scholar 

  19. Koukopoulos, D.: The impact of dynamic adversarial attacks on the stability of heterogeneous multimedia networks. J. Comput. Commun. 33, 1695–1706 (2010)

    Article  Google Scholar 

  20. Koukopoulos, D.: Stability in heterogeneous multimedia networks under adversarial attacks. J. Univ. Comput. Sci. 14(2), 444–464 (2009)

    Google Scholar 

  21. Koukopoulos, D.: The impact of dynamic link slowdowns on network stability. In: Proceedings of the 8th International Symposium on Parallel Architectures, Algorithms and Networks, pp. 340–345 (2005)

    Google Scholar 

  22. Koukopoulos, D., Mavronicolas, M., Nikoletseas, S., Spirakis, P.: The impact of network structure on the stability of greedy protocols. Theory Comput. Syst. 38, 425–460 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  23. Koukopoulos, D., Mavronicolas, M., Nikoletseas, S., Spirakis, P.: On the stability of compositions of universally stable, greedy, contention-resolution protocols. In: Malkhi, D. (ed.) DISC 2002. LNCS, vol. 2508, pp. 88–102. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  24. Koukopoulos, D., Mavronikolas, M., Spirakis, P.: Performance and stability bounds for dynamic networks. J. Parallel Distrib. Comput. 67, 386–399 (2007)

    Article  MATH  Google Scholar 

  25. Koukopoulos, D., Mavronikolas, M., Spirakis, P.: The increase of the instability of networks due to quasi-static link capacities. J. Theor. Comput. Sci. 381, 44–56 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  26. Koukopoulos, D., Mavronicolas, M., Spirakis, P.: Instability of networks with quasi-static link capacities. In: Proceedings of the 10th International Colloquium on Structural Information and Communication Complexity, pp. 179–194 (2003)

    Google Scholar 

  27. Koukopoulos, D.K., Nikolopoulos, S.D.: Heterogenous networks can be unstable at arbitrarily low injection rates. In: Calamoneri, T., Finocchi, I., Italiano, G.F. (eds.) CIAC 2006. LNCS, vol. 3998, pp. 93–104. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  28. Koukopoulos, D.K., Nikoletseas, S.E., Spirakis, P.G.: Stability issues in heterogeneous and fifo networks under the adversarial queueing model. In: Monien, B., Prasanna, V.K., Vajapeyam, S. (eds.) HiPC 2001. LNCS, vol. 2228, pp. 3–14. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  29. Levine, D., Kessler, G.: Denial of service attacks. In: Kabay, M., Bosworth, S. (eds.) Computer Security Handbook, 4th edn. Wiley, New York (2002)

    Google Scholar 

  30. Lynch, N.: Distributed Algorithms. Morgan Kaufmann, San Francisco (1996)

    MATH  Google Scholar 

  31. Moore, D., Shannon, C., Brown, D., Voelker, G., Savage, S.: Inferring Internet denial-of-service activity. ACM Trans. Comput. Syst. 24(2), 115–139 (2006)

    Article  Google Scholar 

  32. Weinard, M.: Deciding the FIFO stability of networks in polynomial time. In: Calamoneri, T., Finocchi, I., Italiano, G.F. (eds.) CIAC 2006. LNCS, vol. 3998, pp. 81–92. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  33. Yau, D., Lui, J., Liang, F., Yam, Y.: Defending against distributed denial-of-service attacks with max-min fair server-centric router throttles. IEEE/ACM Trans. Netw. 13(1), 29–42 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dimitrios Koukopoulos .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Koukopoulos, D. (2015). Stability in Heterogeneous Dynamic Multimedia Networks. In: Zaroliagis, C., Pantziou, G., Kontogiannis, S. (eds) Algorithms, Probability, Networks, and Games. Lecture Notes in Computer Science(), vol 9295. Springer, Cham. https://doi.org/10.1007/978-3-319-24024-4_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-24024-4_16

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24023-7

  • Online ISBN: 978-3-319-24024-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics