Advertisement

The K Group Nearest-Neighbor Query on Non-indexed RAM-Resident Data

  • George Roumelis
  • Michael Vassilakopoulos
  • Antonio CorralEmail author
  • Yannis Manolopoulos
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 582)

Abstract

Data sets that are used for answering a single query only once (or just a few times) before they are replaced by new data sets appear frequently in practical applications. The cost of buiding indexes to accelerate query processing would not be repaid for such data sets. We consider an extension of the popular (K) Nearest-Neighbor Query, called the (K) Group Nearest Neighbor Query (GNNQ). This query discovers the (K) nearest neighbor(s) to a group of query points (considering the sum of distances to all the members of the query group) and has been studied during recent years, considering data sets indexed by efficient spatial data structures. We study (K) GNNQs, considering non-indexed RAM-resident data sets and present an existing algorithm adapted to such data sets and two Plane-Sweep algorithms, that apply optimizations emerging from the geometric properties of the problem. By extensive experimentation, using real and synthetic data sets, we highlight the most efficient algorithm.

Keywords

Spatial query processing Plane-sweep Group nearest-neighbor query Algorithms 

References

  1. 1.
    Rigaux, P., Scholl, M., Voisard, A.: Spatial Databases - with Applications to GIS. Elsevier, San Francisco (2002)Google Scholar
  2. 2.
    Preparata, F.P., Shamos, M.I.: Computational Geometry - An Introduction. Springer, New York (1985)CrossRefGoogle Scholar
  3. 3.
    Hinrichs, K., Nievergelt, J., Schorn, P.: Plane-sweep solves the closest pair problem elegantly. Inf. Process. Lett. 26, 255–261 (1988)CrossRefMathSciNetGoogle Scholar
  4. 4.
    Jacox, E.H., Samet, H.: Spatial join techniques. ACM Trans. Database Syst. 32, 7 (2007)CrossRefGoogle Scholar
  5. 5.
    Roumelis, G., Vassilakopoulos, M., Corral, A., Manolopoulos, Y.: A new plane-sweep algorithm for the K-closest-pairs query. In: Geffert, V., Preneel, B., Rovan, B., Štuller, J., Tjoa, A.M. (eds.) SOFSEM 2014. LNCS, vol. 8327, pp. 478–490. Springer, Heidelberg (2014)CrossRefGoogle Scholar
  6. 6.
    Roumelis, G., Vassilakopoulos, M., Corral, A., Manolopoulos, Y.: Plane-sweep algorithms for the k group nearest-neighbor query. In: GISTAM Conference, pp. 83–93. Scitepress (2015)Google Scholar
  7. 7.
    Papadias, D., Shen, Q., Tao, Y., Mouratidis, K.: Group nearest neighbor queries. In: ICDE Conference, pp. 301–312. IEEE (2004)Google Scholar
  8. 8.
    Papadias, D., Tao, Y., Mouratidis, K., Hui, C.K.: Aggregate nearest neighbor queries in spatial databases. ACM Trans. Database Syst. 30, 529–576 (2005)CrossRefGoogle Scholar
  9. 9.
    Li, H., Lu, H., Huang, B., Huang, Z.: Two ellipse-based pruning methods for group nearest neighbor queries. In: ACM-GIS Conference, pp. 192–199. ACM (2005)Google Scholar
  10. 10.
    Luo, Y., Chen, H., Furuse, K., Ohbo, N.: Efficient methods in finding aggregate nearest neighbor by projection-based filtering. In: Gervasi, O., Gavrilova, M.L. (eds.) ICCSA 2007, Part III. LNCS, vol. 4707, pp. 821–833. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  11. 11.
    Namnandorj, S., Chen, H., Furuse, K., Ohbo, N.: Efficient bounds in finding aggregate nearest neighbors. In: Bhowmick, S.S., Küng, J., Wagner, R. (eds.) DEXA 2008. LNCS, vol. 5181, pp. 693–700. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  12. 12.
    Hashem, T., Kulik, L., Zhang, R.: Privacy preserving group nearest neighbor queries. In: EDBT Conference, pp. 489–500. ACM (2010)Google Scholar
  13. 13.
    Zhu, L., Jing, Y., Sun, W., Mao, D., Liu, P.: Voronoi-based aggregate nearest neighbor query processing in road networks. In: ACM-GIS Conference, pp. 518–521. ACM (2010)Google Scholar
  14. 14.
    Jiang, T., Gao, Y., Zhang, B., Liu, Q., Chen, L.: Reverse top-k group nearest neighbor search. In: Wang, J., Xiong, H., Ishikawa, Y., Xu, J., Zhou, J. (eds.) WAIM 2013. LNCS, vol. 7923, pp. 429–439. Springer, Heidelberg (2013)CrossRefGoogle Scholar
  15. 15.
    Zhang, D., Chan, C., Tan, K.: Nearest group queries. In: SSDBM Conference, p. 7. ACM (2013)Google Scholar
  16. 16.
    Lian, X., Chen, L.: Probabilistic group nearest neighbor queries in uncertain databases. IEEE Trans. Knowl. Data Eng. 20, 809–824 (2008)CrossRefGoogle Scholar
  17. 17.
    Li, J., Wang, B., Wang, G., Bi, X.: Efficient processing of probabilistic group nearest neighbor query on uncertain data. In: Bhowmick, S.S., Dyreson, C.E., Jensen, C.S., Lee, M.L., Muliantara, A., Thalheim, B. (eds.) DASFAA 2014, Part I. LNCS, vol. 8421, pp. 436–450. Springer, Heidelberg (2014)CrossRefGoogle Scholar
  18. 18.
    Ahn, H.-K., Bae, S.W., Son, W.: Group nearest neighbor queries in the L \(_\text{1 }\) plane. In: Chan, T.-H.H., Lau, L.C., Trevisan, L. (eds.) TAMC 2013. LNCS, vol. 7876, pp. 52–61. Springer, Heidelberg (2013)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • George Roumelis
    • 1
  • Michael Vassilakopoulos
    • 2
  • Antonio Corral
    • 3
    Email author
  • Yannis Manolopoulos
    • 1
  1. 1.Department of InformaticsAristotle University of ThessalonikiThessalonikiGreece
  2. 2.Department of Electrical and Computer EngineeringUniversity of ThessalyVolosGreece
  3. 3.Department of InformaticsUniversity of AlmeriaAlmeríaSpain

Personalised recommendations