Abstract
Overlay-based multicast has been proposed as an efficient solution to ensure multicast communication in the Internet. This paper focuses on modelling of various aspects of fairness in overlay multicast networks aimed at throughput maximization. Two distinct linear programs are proposed. The first formulation employs conceptual flows and provides optimal data rate allocation, whereas the second, relaxed version is derived from fractional Steiner trees. In addition, performance of two optimization tools (CPLEX and GUROBI) is compared in relation of time and result quality meanings. The paper reports that the fractional trees-based formulation provides better time efficiency while its solutions’ quality might reach maximum obtainable data rates.
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References
Akbari, B., Rabiee, H.R., Ghanbari, M.: An optimal discrete rate allocation for overlay video multicasting. Computer Communications 31(3), 551–562 (2008)
Benslimane, A. (ed.): Multimedia Multicast on the Internet. ISTE (2007)
Bharambe, A.R., Herley, C., Padmanabhan, V.N.: Analyzing and improving a bittorrent networks performance mechanisms. In: Proc. 25th IEEE Int. Conf. Computer Communications, INFOCOM 2006, pp. 1–12 (2006)
Chu, Y.-h., Rao, S.G., Zhang, H.: A case for end system multicast. In: Proceedings of ACM Sigmetrics, pp. 1–12 (2000)
Deering, S.E., Cheriton, D.R.: Multicast routing in datagram internetworks and extended lans. ACM Transactions on Computer Systems 8, 85–110 (1990)
Gurobi Optimization: Gurobi optimizer 3.0 (2010), http://www.gurobi.com
IBM ILOG CPLEX 12.1: User’s Manual for CPLEX (2009)
Jain, K., Mahdian, M., Salavatipour, M.R.: Packing steiner trees. In: SODA 2003: Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 266–274. Society for Industrial and Applied Mathematics, Philadelphia (2003)
Kucharzak, M., Walkowiak, K.: Optimization of flows in level-constrained multiple trees for p2p multicast system. In: The Second International Conference on Advances in P2P Systems, AP2PS 2010, Florence, Italy (October 2010)
Lao, L., Hong Cui, J., Gerla, M.: Multicast service overlay design. In: Proc. of Second International Symposium on Wireless Communication Systems, ISWCS 2005, Philadelphia, Pennsylvania, USA (2005)
Leuf, B.: Peer to Peer: Collaboration and Sharing over the Internet. Addison-Wesley Longman Publishing Co., Inc., Boston (2002)
PiĂłro, M., Medhi, D.: Routing, Flow, and Capacity Design in Communication and Computer Networks. Morgan Kaufmann Publishers, San Francisco (2004)
Rawls, J.: The Theory of Justice. Harvard University Press, Cambridge (1971)
Sen, A.: On Economic Inequality. Clarendon Press, Oxford (1973)
Sentinelli, A., Marfia, G., Gerla, M., Kleinrock, L., Tewari, S.: Will iptv ride the peer-to-peer stream? peer-to-peer multimedia streaming. IEEE Communications Magazine 45(6), 86–92 (2007)
Shi, S., Turner, J.S.: Multicast routing and bandwidth dimensioning in overlay networks. IEEE Journal on Selected Areas in Communications 20, 1444–1455 (2002)
Walkowiak, K.: Network Design Problem for P2P Multicasting. In: International Network Optimization Conference, INOC 2009 (April 2009)
Walkowiak, K.M.: Offline Approach to Modeling and Optimization of Flows in Peer-to-Peer Systems. In: New Technologies, Mobility and Security, NTMS 2008, pp. 1–5. IEEE Press, Tangier (2008)
Wu, C., Li, B.: Optimal peer selection for minimum-delay peer-to-peer streaming with rateless codes. In: P2PMMS 2005: Proceedings of the ACM Workshop on Advances in Peer-to-Peer Multimedia Streaming, pp. 69–78. ACM, New York (2005)
Wu, C., Li, B.: Optimal rate allocation in overlay content distribution. Networking, 678–690 (2007)
Wu, C., Li, B.: On meeting p2p streaming bandwidth demand with limited supplies. In: Proc. of the Fifteenth Annual SPIE/ACM International Conference on Multimedia Computing and Networking (2008)
Wu, G., Chiueh, T.: Peer to peer file download and streaming. rpe report, tr-185 (2005)
Young, H.P.: Equity in Theory and Practice. Princeton University Press, Princeton (1994)
Zhu, Y., Li, B.: Overlay networks with linear capacity constraints. IEEE Trans. Parallel Distrib. Syst. 19(2), 159–173 (2008)
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Kucharzak, M., Walkowiak, K. (2011). On Modelling of Fair Throughput Allocation in Overlay Multicast Networks. In: Balandin, S., Koucheryavy, Y., Hu, H. (eds) Smart Spaces and Next Generation Wired/Wireless Networking. ruSMART NEW2AN 2011 2011. Lecture Notes in Computer Science, vol 6869. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22875-9_48
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DOI: https://doi.org/10.1007/978-3-642-22875-9_48
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