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Utility function of TCP Reno under precise end-to-end drop probability

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Abstract

TCP Reno can be regarded as a distributed algorithm over the Internet to maximize aggregate utility subject to capacity. The equilibrium reached by the interaction of many competing TCPs, each implemented only on the source and destination computers, is effectively maximizing an objective function for the entire network. In this paper, a new utility function is derived for TCP Reno under the precise end-to-end drop probability. The results show theoretically that the TCP Reno model proposed by Kelly [1] is reasonable. And simulation results are provided.

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References

  1. Kelly F P. The mathematics of traffic in network. In: Timothy G, June B G, Imre L, eds. The Princeton Companion to Mathematics. Princeton: Princeton University Press, 2008. 862–870

    Google Scholar 

  2. Kelly F P. Mathematical modeling of the Internet. In: Engquist B, Schmid W, eds. Mathematics Unlimited-2001 and Beyond. Berlin: Springer, 2001. 685–702

    Chapter  Google Scholar 

  3. Low S H, Paganini F, Doyle J C. Internet congestion control. IEEE Control Syst Mag, 2002, 22: 28–43

    Article  Google Scholar 

  4. Low S H. A duality model of TCP and queue management algorithms. IEEE/ACM Trans Netw, 2003, 11: 525–536

    Article  Google Scholar 

  5. Li R, Eryilmaz A, Ying L, et al. A unified approach to optimizing performance in networks serving heterogeneous flows. IEEE/ACM Trans Netw, 2011, 19: 223–236

    Article  Google Scholar 

  6. Xu K, Liu H Y, Liu J C, et al. LBMP: a logarithm-barrier-based multipath protocol for Internet traffic management. IEEE Trans Parallel Distrib Syst, 2011, 22: 476–488

    Article  Google Scholar 

  7. Low S H, Lapsley D E. Optimization flow control-I: basic algorithm and convergence. IEEE/ACM Trans Netw, 1999, 7: 861–874.

    Article  Google Scholar 

  8. Chiang M, Low S H, Calderbank A R, et al. Layering as optimization decomposition: a mathematical theory of network architectures. Proc IEEE, 2007, 95: 255–312

    Article  Google Scholar 

  9. Kelly F P, Maulloo A, Tan D. Rate control for communication networks: shadow prices, proportional fairness and stability. J Oper Res Soc, 1998, 49: 237–252

    MATH  Google Scholar 

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Correspondence to Ying Liu.

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Liu, Y., Li, H. & Liu, H. Utility function of TCP Reno under precise end-to-end drop probability. Sci. China Inf. Sci. 56, 1–6 (2013). https://doi.org/10.1007/s11432-012-4703-7

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  • DOI: https://doi.org/10.1007/s11432-012-4703-7

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