Abstract
Most earlier studies of DHTs under churn have either depended on simulations as the primary investigation tool, or on establishing bounds for DHTs to function. In this paper, we present a complete analytical study of churn using a master-equation-based approach, used traditionally in non-equilibrium statistical mechanics to describe steady-state or transient phenomena. Simulations are used to verify all theoretical predictions. We demonstrate the application of our methodology to the Chord system. For any rate of churn and stabilization rates, and any system size, we accurately predict the fraction of failed or incorrect successor and finger pointers and show how we can use these quantities to predict the performance and consistency of lookups under churn. We also discuss briefly how churn may actually be of different ’types’ and the implications this will have for the functioning of DHTs in general.
This work is funded by the Swedish VINNOVA AMRAM and PPC projects, the European IST-FET PEPITO and 6th FP EVERGROW projects.
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References
Liben-Nowell, D., Balakrishnan, H., Karger, D.: Analysis of the evolution of peer-to-peer systems. In: ACM Conf. on Principles of Distributed Computing (PODC), Monterey, CA (2002)
Aspnes, J., Diamadi, Z., Shah, G.: Fault-tolerant routing in peer-to-peer systems. In: Proceedings of the twenty-first annual symposium on Principles of distributed computing, pp. 223–232. ACM Press, New York (2002)
Li, J., Stribling, J., Gil, T.M., Morris, R., Kaashoek, F.: Comparing the performance of distributed hash tables under churn. In: Voelker, G.M., Shenker, S. (eds.) IPTPS 2004. LNCS, vol. 3279, pp. 87–99. Springer, Heidelberg (2005)
Rhea, S., Geels, D., Roscoe, T., Kubiatowicz, J.: Handling churn in a DHT. In: Proceedings of the 2004 USENIX Annual Technical Conference(USENIX 2004), Boston, Massachusetts, USA (2004)
Castro, M., Costa, M., Rowstron, A.: Performance and dependability of structured peer-to-peer overlays. In: Proceedings of the 2004 International Conference on Dependable Systems and Networks (DSN 2004). IEEE Computer Society, Los Alamitos (2004)
van Kampen, N.G.: Stochastic Processes in Physics and Chemistry. North-Holland Publishing Company, Amsterdam (1981) ISBN-0-444-86200-5
Stoica, I., Morris, R., Liben-Nowell, D., Karger, D., Kaashoek, M.F., Dabek, F., Balakrishnan, H.: Chord: A scalable peer-to-peer lookup service for internet applications. IEEE Transactions on Networking 11 (2003)
Wang, S., Xuan, D., Zhao, W.: On resilience of structured peer-to-peer systems. In: GLOBECOM 2003 - IEEE Global Telecommunications Conference, pp. 3851–3856 (2003)
Aberer, K., Datta, A., Hauswirth, M.: Efficient, self-contained handling of identity in peer-to-peer systems. IEEE Transactions on Knowledge and Data Engineering 16, 858–869 (2004)
El-Ansary, S., Krishnamurthy, S., Aurell, E., Haridi, S.: An analytical study of consistency and performance of DHTs under churn (draft). Technical Report TR-2004-12, Swedish Institute of Computer Science (2004), http://www.sics.se/~sameh/pubs/TR2004_12
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Krishnamurthy, S., El-Ansary, S., Aurell, E., Haridi, S. (2005). A Statistical Theory of Chord Under Churn. In: Castro, M., van Renesse, R. (eds) Peer-to-Peer Systems IV. IPTPS 2005. Lecture Notes in Computer Science, vol 3640. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558989_9
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DOI: https://doi.org/10.1007/11558989_9
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