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Issue No.02 - February (2008 vol.19)

pp: 145-158

ABSTRACT

This paper presents HRing (Harmonic Ring), a structured P2P overlay where long links are builtalong the ring with decreasing probabilities coinciding with the Harmonic Series. HRing constructs routingtables based on the distance between node positions instead of node IDs in order to eliminate the effect of node IDdistribution on the long link distribution and load balance. It supports leave-and-rejoin load balance withoutincurring uneven long link distribution. And node IDs can be any form like number, string, address and datewithout the prerequisite of uniform distribution, so they can preserve the semantics and range locality of dataobjects. HRing supports multi-dimensional range queries. Each node is expected to have O(ln(n)) long links. Theconstruction of O(ln(n)) long links for a node costs O(ln(n)) messages. Routing queries achieve O(ln(n)) hops.Analysis and simulations demonstrate the efficiency of query routing and the effectiveness of the long linkconstruction method.

INDEX TERMS

Overlay Network, structured P2P, range query, routing

CITATION

Hai Zhuge, Xiaoping Sun, Erlin Yao, "HRing: A Structured P2P Overlay Based on Harmonic Series",

*IEEE Transactions on Parallel & Distributed Systems*, vol.19, no. 2, pp. 145-158, February 2008, doi:10.1109/TPDS.2007.70725REFERENCES

- [1] K. Aberer, P. Cudre-Mauroux, A. Datta, Z. Despotovic, M. Hauswirth, M. Punceva, and R. Schmidt, “P-Grid: A Self-Organizing Structured P2P System,”
Proc. 22nd ACM Sigmod/ACM Symp. Principles of Database Systems (PODS '03), pp. 29-33, June 2003.- [3] F. Araujo and L. Rodrigues, “Geopeer: A Location-Aware Peer-to-Peer System,” Technical Report DI/FCUL TR 03-31, Dept. of Informatics, Univ. of Lisbon, http://www.di.fc.ul.pt/tech-reports03-31.pdf , Dec. 2003.
- [4] F. Araujo and L. Rodrigues, “Long Range Contacts in Overlay Networks with Unbalanced Node Distribution,” Technical Report DI/FCUL TR 04-8, Dept. of Informatics, Univ. of Lisbon, July 2004.
- [5] L. Arge, D. Eppstein, and M.T. Goodrich, “Skip-Webs: Efficient Distributed Data Structures for Multi-Dimensional Data Sets,”
Proc. 24th Ann. ACM Symp. Principles of Distributed Computing (PODC '05), pp. 69-76, July 2005.- [7] J. Aspnes and G. Shah, “Skip Graphs,”
Proc. 14th Ann. ACM-SIAM Symp. Discrete Algorithms (SODA '03), pp. 384-393, Jan. 2003.- [8] L. Barriere, P. Fraigniaud, E. Kranakis, and D. Krizanc, “Efficient Routing in Networks with Long Range Contacts,”
Proc. 15th Conf. Distributed Computing (DISC '01), pp. 270-284, Oct. 2001.- [9] A.R. Bharambe, M. Agrawal, and S. Seshan, “Mercury: Supporting Scalable Multi-Attribute Range Queries,”
ACM SIGCOMM Computer Comm. Rev., vol. 34, no. 4, pp. 353-366, 2004.- [13] P. Ganesan, M. Bawa, and H. Garcia-Molina, “Online Balancing of Range-Partitioned Data with Applications to Peer-to-Peer Systems,”
Proc. 13th Int'l Conf. Very Large Data Bases (VLDB '04), pp. 444-455, Sept. 2004.- [14] P. Ganesan, B. Yang, and H. Garcia-Molina, “One Torus to Rule Them All: Multi-Dimensional Queries in P2P Systems,”
Proc. Seventh Int'l Workshop the Web and Databases (WebDB '04), pp. 19-24, July 2004.- [16] N.J.A. Harvey, M.B. Jones, S. Saroiu, M. Theimer, and A. Wolman, “SkipNet: A Scalable Overlay Network with Practical Locality Properties,”
Proc. Fourth Usenix Symp. Internet Technologies and Systems (USITS '03), pp. 113-126, Mar. 2003.- [17] N.J.A. Harvey and J.I. Munro, “Deterministic SkipNet,”
Proc. 22nd Ann. ACM Symp. Principles of Distributed Computing (PODC '03), pp. 152-153, July 2003.- [18] J. Havil and F. Dyson, “The Harmonic Series,”
Gamma: Exploring Euler's Constant, 2003.- [19] H.V. Jagadish, B.C. Ooi, and Q.H. Vu, “BATON: A Balanced Tree Structure for Peer-to-Peer Networks,”
Proc. 31st Int'l Conf. Very Large Data Bases (VLDB '05), pp. 661-672, Sept. 2005.- [21] J. Kleinberg, “The Small-World Phenomenon: An Algorithmic Perspective,”
Proc. 32nd ACM Symp. Theory of Computing (STOC '00), pp. 163-170, May 2000.- [22] J. Kleinberg, “Navigation in a Small World,”
Nature, vol. 406, p. 845, 2000.- [25] G.S. Manku, M. Bawa, and P. Raghavan, “Symphony: Distributed Hashing in a Small World,”
Proc. Fourth Usenix Symp. Internet Technologies and Systems (USITS '03), pp. 127-140, Mar. 2003.- [26] G.S. Manku, M. Naor, and U. Wieder, “Know thy Neighbor's Neighbor: The Power of Look Ahead in Randomized P2P Networks,”
Proc. 36th ACM Symp. Theory of Computing (STOC '04), pp. 54-63, June 2004.- [28] S. Ramabhadran, S. Ratnasamy, J. Hellerstein, and S. Shenker, “Brief Announcement: Prefix Hash Tree,”
Proc. 23rd Ann. ACM Symp. Principles of Distributed Computing (PODC '04), p. 368, July 2004.- [30] A. Rowstron and P. Druschel, “Pastry: Scalable, Decentralized Object Location, and Routing for Large-Scale Peer-to-Peer Systems,”
Proc. IFIP/ACM Int'l Conf. Distributed Systems Platforms (Middleware '01), pp. 329-350, Nov. 2001.- [32] I. Stoica, R. Morris, D.L. Nowell, D.R. Karger, M.F. Kaashoek, F. Dabek, and H. Balakrishnan, “Chord: Scalable Peer-to-Peer Lookup Service for Internet Applications,”
Proc. ACM SIGCOMM '01, pp. 149-160, Aug. 2001.- [33] X. Wang, Y. Zhang, X. Li, and D. Loguinov, “On Zone-Balancing of Peer-to-Peer Networks: Analysis of Random Node Join (Extended Version),” technical report, Texas A&M, June 2004.
- [34] K.C. Zatloukal and N.J.A. Harvey, “Family Trees: An Ordered Dictionary with Optimal Congestion, Locality, Degree, and Search Time,”
Proc. 15th ACM-SIAM Symp. Discrete Algorithms (SODA '04), pp. 308-317, Jan. 2004.- [35] B.Y. Zhao, J. Kubiatowicz, and A. Joseph, “Tapestry: An Infrastructure for Fault-Tolerant Wide-Area Location and Routing,”
IEEE J. Selected Areas in Comm., vol. 22, no. 1, pp. 41-53, Jan. 2004. |