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  On the Performance Analysis of Multi-dimensional R-tree-based Data Structures", submitted for publication (1995) [3 citations — 3 self]

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by Yannis Theodoridis, Timos Sellis
ftp://ftp.dbnet.ece.ntua.gr/pub/papers/reports/1995/tr9503.ps.Z
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Abstract:

In this paper we report on our research in the field of multi-dimensional data structures and specifically on the development of powerful analytical models that predict the performance of a data structure. We present a model that estimates the performance of R-trees (and variants based on the original method) when a window query needs to be answered. The proposed formula that estimates the number of disk accesses is a function of data properties only, namely, the amount of data and their density in the work space. Selectivity of a query is also estimated by transforming the analytical formula. Our experimental results show that the proposed analytical model is very accurate, the relative error being usually below 5%, for various distributions and sizes of input datasets.

Citations

1651 R-trees: A dynamic index structure for spatial searching – Guttman - 1984
452 The R ∗ -tree: An Efficient and Robust Access Method for Points and Rectangles – Beckmann, Kriegel, et al. - 1990
363 The grid file: An adaptable, symmetric multikey file structure – Nievergelt, Hinterberger, et al.
347 Nearest Neighbor Queries – Roussopoulos, Kelley, et al. - 1995
303 The R+ Tree: A Dynamic Index for Multidimensional Objects – Sellis, Roussopoulos, et al. - 1987
191 On Packing R-trees – KAMEL, FALOUTSOS - 1993
152 An Intoduction to Spatial Database Systems – Güting - 1994
132 Beyond uniformity and independence: Analysis of r-trees using the concept of fractal dimension – Faloutsos, Kamel - 1994
98 Topological Relations in the World of Minimum Bounding Rectangles: A Study with R-trees – Papadias, Theodoridis, et al. - 1995
93 The lsd tree: Spatial access to multidimensional point and non-point objects – Henrich, Six, et al. - 1989
90 The BANG file: a New Kind of Grid File – Freeston - 1987
68 Analysis of object oriented spatial access methods – Faloutsos, Sellis, et al. - 1987
54 Comparison of approximations of complex objects used for approximation-based query processing in spatial database systems – BRINKHOFF, KRIEGEL, et al. - 1993
54 Towards an analysis of range query performance – Pagel, Six, et al.
44 The cell tree: An object-oriented index structure for geometric databases – GÜNTHER - 1989
23 Performance comparison of point and spatial access methods – KRIEGEL, SCHIWIETZ, et al. - 1990
22 Range queries involving spatial relations: A performance analysis – Theodoridis, Papadias - 1995
10 Optimization issues in R-tree construction – Theodoridis, Sellis - 1994