A Peer-to-Peer based Cloud Storage supporting orthogonal Range Queries of arbitrary Dimension

M. Benter, T. Knollmann, F. Meyer auf der Heide, A. Setzer, J. Sundermeier, in: Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD), 2018.

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Abstract
We present a peer-to-peer network that supports the efficient processing of orthogonal range queries $R=\bigtimes_{i=1}^{d}[a_i,\,b_i]$ in a $d$-dimensional point space.\\ The network is the same for each dimension, namely a distance halving network like the one introduced by Naor and Wieder (ACM TALG'07). We show how to execute such range queries using $\mathcal{O}\left(2^{d'}d\,\log m + d\,|R|\right)$ hops (and the same number of messages) in total. Here $[m]^d$ is the ground set, $|R|$ is the size and $d'$ the dimension of the queried range. Furthermore, if the peers form a distributed network, the query can be answered in $\mathcal{O}\left(d\,\log m + d\,\sum_{i=1}^{d}(b_i-a_i+1)\right)$ communication rounds. Our algorithms are based on a mapping of the Hilbert Curve through $[m]^d$ to the peers.
Publishing Year
Proceedings Title
Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD)
Conference
4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD)
Conference Location
Helsinki
Conference Date
2018-08-20 – 2018-08-21
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Benter M, Knollmann T, Meyer auf der Heide F, Setzer A, Sundermeier J. A Peer-to-Peer based Cloud Storage supporting orthogonal Range Queries of arbitrary Dimension. In: Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD). ; 2018.
Benter, M., Knollmann, T., Meyer auf der Heide, F., Setzer, A., & Sundermeier, J. (2018). A Peer-to-Peer based Cloud Storage supporting orthogonal Range Queries of arbitrary Dimension. In Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD). Helsinki.
@inproceedings{Benter_Knollmann_Meyer auf der Heide_Setzer_Sundermeier_2018, title={A Peer-to-Peer based Cloud Storage supporting orthogonal Range Queries of arbitrary Dimension}, booktitle={Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD)}, author={Benter, Markus and Knollmann, Till and Meyer auf der Heide, Friedhelm and Setzer, Alexander and Sundermeier, Jannik}, year={2018} }
Benter, Markus, Till Knollmann, Friedhelm Meyer auf der Heide, Alexander Setzer, and Jannik Sundermeier. “A Peer-to-Peer Based Cloud Storage Supporting Orthogonal Range Queries of Arbitrary Dimension.” In Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD), 2018.
M. Benter, T. Knollmann, F. Meyer auf der Heide, A. Setzer, and J. Sundermeier, “A Peer-to-Peer based Cloud Storage supporting orthogonal Range Queries of arbitrary Dimension,” in Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD), Helsinki, 2018.
Benter, Markus, et al. “A Peer-to-Peer Based Cloud Storage Supporting Orthogonal Range Queries of Arbitrary Dimension.” Proceedings of the 4th International Symposium on Algorithmic Aspects of Cloud Computing (ALGOCLOUD), 2018.
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