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Multi-dimensional Queries in P2P Systems

Multi-dimensional Queries in P2P Systems. Applications. Photo-sharing (photographs tagged with metadata) Multi-player online games (locate objects and other users). System’s Components. Partitioning Strategy (distribute data across nodes)

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Multi-dimensional Queries in P2P Systems

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  1. Multi-dimensional Queries in P2P Systems

  2. Applications • Photo-sharing (photographs tagged with metadata) • Multi-player online games (locate objects and other users)

  3. System’s Components • Partitioning Strategy (distribute data across nodes) • Routing Strategy (transmit a query to the relevant nodes)

  4. SCRAP: SPACE-FILLING CURVES WITH RANGE PARTITIONING

  5. Partitioning Strategy • Data are mapped into a single dimension e.g. (0100,0101) -> 01000101 • Single-dimensional data are range-partitioned across a dynamic set of nodes

  6. Routing Strategy • Multi-dimensional range query is converted to a set of 1-d range queries • Route each of 1-d range queries (Skip graph: A Chord-like connection between the nodes, which promises O(logn) messages)

  7. Desiderata • Locality: Nearby data points in the multi-dimensional space are also adjacent in the single dimension • Load Balance: • Management of neighboring ranges • Node with empty partition splits the range of heavily loaded node

  8. Desiderata • Minimal metadata : Each node knows only partition boundaries of itself and its neighbors • Low state : O(logn) links per node • Routing load balance : Achieved due to the symmetric nature of skip graphs • Query routing : O(logn) hops for each 1-d

  9. Questions?

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