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 und show how we can use these quantities to predict the performance and ronsiatency 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. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Krishnamurthy, S., El-Ansary, S., Aurell, E., & Haridi, S. (2005). A statistical theory of Chord under churn. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3640 LNCS, pp. 93–103). https://doi.org/10.1007/11558989_9
Mendeley helps you to discover research relevant for your work.