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2015 | OriginalPaper | Chapter

Stability in Heterogeneous Dynamic Multimedia Networks

Author : Dimitrios Koukopoulos

Published in: Algorithms, Probability, Networks, and Games

Publisher: Springer International Publishing

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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.

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Literature
1.
go back to reference Alvarez, C., Blesa, M., Serna, M.: A characterization of universal stability in the adversarial queuing model. SIAM J. Comput. 34, 41–66 (2004)MathSciNetCrossRefMATH Alvarez, C., Blesa, M., Serna, M.: A characterization of universal stability in the adversarial queuing model. SIAM J. Comput. 34, 41–66 (2004)MathSciNetCrossRefMATH
2.
go back to reference Alvarez, C., Blesa, M., Serna, M.: The robustness of stability under link and node failures. Theor. Comput. Sci. 412, 6855–6878 (2011)MathSciNetCrossRefMATH Alvarez, C., Blesa, M., Serna, M.: The robustness of stability under link and node failures. Theor. Comput. Sci. 412, 6855–6878 (2011)MathSciNetCrossRefMATH
3.
go back to reference Andrews, M.: Instability of FIFO in the permanent sessions model at arbitrarily small network loads. ACM Trans. Algorithms 5(3), 1–29 (2009)MathSciNetCrossRefMATH Andrews, M.: Instability of FIFO in the permanent sessions model at arbitrarily small network loads. ACM Trans. Algorithms 5(3), 1–29 (2009)MathSciNetCrossRefMATH
4.
go back to reference 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)MathSciNetCrossRefMATH 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)MathSciNetCrossRefMATH
5.
go back to reference 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) 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)
6.
go back to reference 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) 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)
7.
go back to reference 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)MathSciNetCrossRefMATH 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)MathSciNetCrossRefMATH
8.
go back to reference 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) CrossRef 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) CrossRef
9.
go back to reference Blesa, M., Calzada, D., Fernandez, A., Lopez, L.: Adversarial queueing model for continuous network dynamics. Theory Comput. Syst. 44, 304–331 (2009)MathSciNetCrossRefMATH Blesa, M., Calzada, D., Fernandez, A., Lopez, L.: Adversarial queueing model for continuous network dynamics. Theory Comput. Syst. 44, 304–331 (2009)MathSciNetCrossRefMATH
10.
11.
go back to reference 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) 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)
12.
go back to reference 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) CrossRef 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) CrossRef
13.
14.
go back to reference 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)CrossRef 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)CrossRef
15.
go back to reference 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) 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)
16.
go back to reference Floyd, S., Paxson, V.: Difficulties in simulating the Internet. IEEE/ACM Trans. Netw. 9, 392–403 (2001)CrossRef Floyd, S., Paxson, V.: Difficulties in simulating the Internet. IEEE/ACM Trans. Netw. 9, 392–403 (2001)CrossRef
17.
go back to reference Koukopoulos, D.: Instability behaviour of heterogeneous multimedia networks under dynamic adversarial attacks. J. Math. Comput. Model. 57, 2671–2684 (2013)MathSciNetCrossRefMATH Koukopoulos, D.: Instability behaviour of heterogeneous multimedia networks under dynamic adversarial attacks. J. Math. Comput. Model. 57, 2671–2684 (2013)MathSciNetCrossRefMATH
18.
go back to reference 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) 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)
19.
go back to reference Koukopoulos, D.: The impact of dynamic adversarial attacks on the stability of heterogeneous multimedia networks. J. Comput. Commun. 33, 1695–1706 (2010)CrossRef Koukopoulos, D.: The impact of dynamic adversarial attacks on the stability of heterogeneous multimedia networks. J. Comput. Commun. 33, 1695–1706 (2010)CrossRef
20.
go back to reference Koukopoulos, D.: Stability in heterogeneous multimedia networks under adversarial attacks. J. Univ. Comput. Sci. 14(2), 444–464 (2009) Koukopoulos, D.: Stability in heterogeneous multimedia networks under adversarial attacks. J. Univ. Comput. Sci. 14(2), 444–464 (2009)
21.
go back to reference 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) 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)
22.
go back to reference 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)MathSciNetCrossRefMATH 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)MathSciNetCrossRefMATH
23.
go back to reference 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) CrossRef 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) CrossRef
24.
go back to reference Koukopoulos, D., Mavronikolas, M., Spirakis, P.: Performance and stability bounds for dynamic networks. J. Parallel Distrib. Comput. 67, 386–399 (2007)CrossRefMATH Koukopoulos, D., Mavronikolas, M., Spirakis, P.: Performance and stability bounds for dynamic networks. J. Parallel Distrib. Comput. 67, 386–399 (2007)CrossRefMATH
25.
go back to reference 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)MathSciNetCrossRefMATH 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)MathSciNetCrossRefMATH
26.
go back to reference 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) 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)
27.
go back to reference 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) CrossRef 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) CrossRef
28.
go back to reference 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) CrossRef 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) CrossRef
29.
go back to reference Levine, D., Kessler, G.: Denial of service attacks. In: Kabay, M., Bosworth, S. (eds.) Computer Security Handbook, 4th edn. Wiley, New York (2002) Levine, D., Kessler, G.: Denial of service attacks. In: Kabay, M., Bosworth, S. (eds.) Computer Security Handbook, 4th edn. Wiley, New York (2002)
30.
go back to reference Lynch, N.: Distributed Algorithms. Morgan Kaufmann, San Francisco (1996)MATH Lynch, N.: Distributed Algorithms. Morgan Kaufmann, San Francisco (1996)MATH
31.
go back to reference 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)CrossRef 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)CrossRef
32.
go back to reference 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) CrossRef 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) CrossRef
33.
go back to reference 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)CrossRef 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)CrossRef
Metadata
Title
Stability in Heterogeneous Dynamic Multimedia Networks
Author
Dimitrios Koukopoulos
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-24024-4_16

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