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Analytical study of consistency and performance of DHTs under churn
Distributed Systems Laboratory, SICS Swedish Institute of Computer Science.
Distributed Systems Laboratory, SICS Swedish Institute of Computer Science.
KTH, School of Engineering Sciences (SCI), Physics.
KTH, School of Information and Communication Technology (ICT), Microelectronics and Information Technology, IMIT.ORCID iD: 0000-0002-6718-0144
(English)Manuscript (preprint) (Other academic)
Abstract [en]

In this paper, we present a complete analytical study of dynamic membership (aka churn) in structured peer-to-peer networks. We use a master-equation-based approach, which is used traditionally in non-equilibrium statistical mechanics to describe steady-state or transient phenomena. We demonstrate that this methodology is infact also well suited to describing structured overlay networks by an application to the Chord system. For any rate of churn and stabilization rates, and any system size, we accurately account for the functional form of: the distribution of inter-node distances, the probability of network disconnection, the fraction of failed or incorrect successor and finger pointers and show how we can use these quantities to predict both the performance and consistency of lookups under churn. Additionally, we also discuss how churn may actually be of different ’types’ and the implications this will have for structured overlays in general. All theoretical predictions match simulation results to a high extent. The analysis includes details that are applicable to a generic structured overlay deploying a ring as well as Chord-specific details that can act as guidelines for analyzing other systems.

Keyword [en]
Peer-To-Peer, Structured Overlays, Distributed Hash Tables, Dynamic Membership in Large- scale Distributed Systems, Analytical Modeling, Master Equations
National Category
Computer Engineering
Identifiers
URN: urn:nbn:se:kth:diva-25104OAI: oai:DiVA.org:kth-25104DiVA: diva2:355831
Note
QC 20101008. The work was reported in the following two publications: Sameh El-Ansary, Supriya Krishnamurthy, Erik Aurell and Seif Haridi, An Analytical Study of Consistentcy and Performance of DHTs under Churn. Technical Report TR-2004-12, SICS, October 2004. Supriya Krishnamurthy, Sameh El-Ansary, Erik Aurell and Seif Haridi, A Statistical Theory of Chord under Churn. In the 4th Annual InternationalWorkshop on Peer-To-Peer Systems (IPTPS 05), Ithaca, NY, USA, February 2005 Available from: 2010-10-08 Created: 2010-10-08 Last updated: 2010-10-08Bibliographically approved
In thesis
1. Designs and analyses in structured peer-to-peer systems
Open this publication in new window or tab >>Designs and analyses in structured peer-to-peer systems
2005 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Peer-to-Peer (P2P) computing is a recent hot topic in the areas of networking and distributed systems. Work on P2P computing was triggered by a number of ad-hoc systems that made the concept popular. Later, academic research efforts started to investigate P2P computing issues based on scientific principles. Some of that research produced a number of structured P2P systems that were collectively referred to by the term ``Distributed Hash Tables'' (DHTs). However, the research occurred in a diversified way leading to the appearance of similar concepts yet lacking a common perspective and not heavily analyzed. In this thesis we present a number of papers representing our research results in the area of structured P2P systems grouped as two sets labeled respectively ``Designs'' and ``Analyses''.

The contribution of the first set of papers is as follows. First, we present the principle of distributed k-ary search (DKS) and argue that it serves as a framework for most of the recent P2P systems known as DHTs. That is, given the DKS framework, understanding existing DHT systems is done simply by seeing how they are instances of that framework. We argue that by perceiving systems as instances of the DKS framework, one can optimize some of them. We illustrate that by applying the framework to the Chord system, one of the most established DHT systems. Second, We show how the DKS framework helps in the design of P2P algorithms by two examples: (a) The DKS(n;k;f) system which is a system designed from the beginning on the principles of distributed k-ary search. (b) Two broadcast algorithms that take advantage of the distributed k-ary search tree.

The contribution of the second set of papers is as follows. We account for two approaches that we used to evaluate the performance of a particular class of DHTs, namely the one adopting periodic stabilization for topology maintenance. The first approach was of an intrinsic empirical nature. In that approach, we tried to perceive a DHT as a physical system and account for its properties in a size-independent manner. The second approach was of a more analytical nature. In this approach we applied the technique of Master equations, which is a widely used technique in the analysis of natural systems. The application of the technique lead to a highly accurate description of the behavior of structured overlays.

Additionally, the thesis contains a primer on structured P2P systems that tries to capture the main ideas that are prevailing in the field and enumerates a subset of the current hot and open research issues.

Place, publisher, year, edition, pages
Stockholm: KTH, 2005. 229 p.
Series
Trita-IMIT. LECS, ISSN 1651-4076 ; 05:02
Series
SICS Dissertation Series, ISSN 1101-1335 ; 38
Keyword
Datorsystem, Datorsystem
National Category
Computer Engineering
Identifiers
urn:nbn:se:kth:diva-264 (URN)
Public defence
2005-06-10, Sal D, KTH Forum, 10:00
Opponent
Supervisors
Note
QC 20101008Available from: 2005-06-07 Created: 2005-06-07 Last updated: 2010-10-11Bibliographically approved

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