Queueing Systems

, Volume 91, Issue 1–2, pp 171–203 | Cite as

An asymptotic approximation for TCP CUBIC

  • Sudheer PoojaryEmail author
  • Vinod Sharma


In this paper, we derive an expression for computing the average window size of a single TCP CUBIC connection under random losses. For this we consider a throughput expression for TCP CUBIC computed earlier under deterministic periodic packet losses. We validate this expression theoretically. We then use insights from the deterministic loss-based model to scale appropriately a sequence of Markov chains with random losses indexed by the probability of loss p. We show that this sequence converges to a limiting Markov chain as p tends to 0. The stationary distribution of the limiting Markov chain is then used to derive the average window size for small packet error rates. We then use a simple approximation to extend our current results with negligible queuing to a setup with multiple connections and non-negligible queuing. We validate our model and approximations via simulations.


TCP CUBIC High-speed TCP Asymptotic approximation Performance analysis 

Mathematics Subject Classification

68M12 68M11 60J10 90B18 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.CERI/LIAUniversity of AvignonAvignonFrance
  2. 2.Department of ECEIndian Institute of ScienceBangaloreIndia
  3. 3.Qualcomm India Private LimitedBangaloreIndia

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