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Nearest Neighbor Queries in a Mobile Environment

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1678))

Abstract

Nearest neighbor queries have received much interest in recent years due to their increased importance in advanced database applications. However, past work has addressed such queries in a static setting. In this paper we consider instead a dynamic setting where data objects move continuously. Such a mobile spatiotemporal environment is motivated by real life applications in traffic management, intelligent navigation and cellular communication systems. We consider two versions of nearest neighbor queries depending on whether the temporal predicate is a single time instant or an interval. For example: “find the closest object to a given object o after 10 minutes from now”, or, “find the object that will be the closest to object o between 10 and 15 minutes from now”. Since data objects move continuously it is inefficient to update the database about their position at each time instant. Instead our approach is to employ methods that store the motion function of each object and answer nearest neighbor queries by efficiently searching through these methods.

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References

  1. P. Agarwal and M. Sharir. Arrangements and their applications. in Handbook of Computational Geometry, (J. Sack, ed.), North Holand, Amsterdam. 132

    Google Scholar 

  2. ArcView GIS. ArcView Tracking Analyst. 1998. 120

    Google Scholar 

  3. S. Arya, D. M. Mount, N. S. Netanyahu, R. Silverman and A. Wu. An optimal algorithm for approximate nearest neighbor searching. Journal of the ACM, to appear. 132

    Google Scholar 

  4. N. Beckmann, H.-P. Kriegel, R. Schneider, and B. Seeger. The R*-tree: An Efficient and Robust Access Method For Points and Rectangles. In Proc. ACM-SIGMOD International Conference on Management of Data, pages 322–331, Atlantic City, May 1990. 126

    Google Scholar 

  5. S. Berchtold, C. Bohm, D. Keim, H.-P. Kriegel. A Cost Model For Nearest Neighbor Search in High-Dimensional Data Space. In Proc. 16th ACM-PODS, pp. 78–86, 1997. 125

    Google Scholar 

  6. J. Chomicki and P. Revesz. A Geometric Framework for Specifying Spatiotemporal Objects. Proc. 6th International Workshop on Time Representation and Reasoning, May 1999. 120

    Google Scholar 

  7. D. Comer. The Ubiquitous B-Tree. Computing Surveys, 11(2):121–137, June 1979.

    Article  MATH  Google Scholar 

  8. M. Erwig, R. H. Guting, M. Schneider and M. Vazirgianis. Spatio-temporal Data Types: An Approach to Modeling and Querying Moving Objects in Databases. In Proc. of ACM GIS Symposium’ 98. 119, 120

    Google Scholar 

  9. G. Evangelidis, D. Lomet, and B. Salzberg. The hB?-tree: A Modified hB-tree Supporting Concurrency, Recovery and Node Consolidation. In Proc. 21st International Conference on Very Large Data Bases, Zurich, September 1995, pages 551–561. 126

    Google Scholar 

  10. V. Gaede and O. Gunther. Multidimensional Access Methods. ACM Computing Surveys, 30(2):170–231, 1998. 126

    Article  Google Scholar 

  11. A. Guttman. R-Trees: A Dynamic Index Structure For Spatial Searching. In Proc. ACM-SIGMOD International Conference on Management of Data, pages 47–57, Boston, June 1984. 126

    Google Scholar 

  12. G. R. Hjaltason and H. Samet. Ranking in Spatial Databases. In Proc. 4th Int. Symp. on Spatial Databases, pp. 83–95, 1995. 125, 126, 131

    Google Scholar 

  13. P. Indyk and R. Motwani. Approximate Nearest Neighbors: Towards Removing the Curse of Dimensionality. In Proc.30th ACM-STOC, pp. 604–613, 1998. 132

    Google Scholar 

  14. H. V. Jagadish. On Indexing Line Segments. In Proc. 16th International Conference on Very Large Data Bases, pages 614–625, Brisbane, Queensland, Australia, August 1990. 123, 125

    Google Scholar 

  15. J. Kleinberg. Two Algorithms for Nearest-Neighbor Search in High Dimensions. In Proc. 29th ACM-STOC, pp. 599–608, 1997. 132

    Google Scholar 

  16. G. Kollios, D. Gunopulos and V. J. Tsotras. On Indexing Mobile Objects. In Proc. 18th ACM-PODS, 1999. 120, 121, 122, 124, 126, 130

    Google Scholar 

  17. N. Roussopoulos, S. Kelley, F. Vincent. Nearest Neighbor Queries. In Proc. ACMSIGMOD Int. Conf. on Management of Data, pages 71–79, June 1992. 125, 131

    Google Scholar 

  18. H. Samet. The Design and Analysis of Spatial Data Structures., Addison-Wesley, Reading, MA, 1990. 126

    Google Scholar 

  19. T. Sellis, N. Roussopoulos and C. Faloutsos. The R+-Tree: A Dynamic Index for Multi-Dimensional Objects. In Proc. 13rd International Conference on Very Large Data Bases, pages 507–518, Brighton, England, September 1987. 126

    Google Scholar 

  20. A. P. Sistla, O. Wolfson, S. Chamberlain, S. Dao. Modeling and Querying Moving Objects. In Proc. 13th IEEE International Conference on Data Engineering, pages 422–432, Birmingham, U.K, April 1997. 120

    Chapter  Google Scholar 

  21. O. Wolfson, S. Chamberlain, S. Dao, L. Jiang, G. Mendez. Cost and Imprecision in Modeling the Position of Moving Objects. In Proc. 14th IEEE International Conference on Data Engineering, pages 588–596, Orlando, Florida, February 1998. 120

    Google Scholar 

  22. O. Wolfson, B. Xu, S. Chamberlain, L. Jiang. Moving Objects Databases: Issues and Solutions In Proceedings of the 10th International Conference on Scientific and Statistical Database Management. Capri, Italy, July 1998. 120

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Kollios, G., Gunopulos, D., Tsotras, V.J. (1999). Nearest Neighbor Queries in a Mobile Environment. In: Böhlen, M.H., Jensen, C.S., Scholl, M.O. (eds) Spatio-Temporal Database Management. STDBM 1999. Lecture Notes in Computer Science, vol 1678. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48344-6_7

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  • DOI: https://doi.org/10.1007/3-540-48344-6_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66401-7

  • Online ISBN: 978-3-540-48344-1

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