Distribution Models of Relations.

@inproceedings{DBLP:conf/vldb/MerrettO79,
  author    = {T. H. Merrett and
               Ekow J. Otoo},
  editor    = {Antonio L. Furtado and
               Howard L. Morgan},
  title     = {Distribution Models of Relations},
  booktitle = {Fifth International Conference on Very Large Data Bases, October
               3-5, 1979, Rio de Janeiro, Brazil, Proceedings},
  publisher = {IEEE Computer Society},
  year      = {1979},
  pages     = {418-425},
  ee        = {db/conf/vldb/MerrettO79.html},
  crossref  = {DBLP:conf/vldb/79},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

Abstract

We show how relations can be modelled in fast memory by a distribution of tuples in a multidimensional space. Given distributions for operand relations we derive distributions for the relations that result from applying the relational algebra. We apply the result for the natural join to optimize the evaluation of an expression involving two joins. We suggest further applications. The analysis for division leads to a generalization of that operator.

C.R. Categories: 3.72, 4.33, 4.34 Key words and phrases: database, distribution of tuples, relational algebra, cost model, expression evaluation.

Copyright © 1979 by The Institute of Electrical and Electronic Engineers, Inc. (IEEE). Abstract used with permission.

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Referenced by

1. Paolo Ciaccia, Dario Maio: Domains and Active Domains: What This Distinction Implies for the Estimation of Projection Sizes in Relational Databases. IEEE Trans. Knowl. Data Eng. 7(4): 641-655(1995)
2. Yannis E. Ioannidis, Viswanath Poosala: Balancing Histogram Optimality and Practicality for Query Result Size Estimation. SIGMOD Conference 1995: 233-244
3. Chung-Min Chen, Nick Roussopoulos: Adaptive Selectivity Estimation Using Query Feedback. SIGMOD Conference 1994: 161-172
4. Yannis E. Ioannidis, Stavros Christodoulakis: Optimal Histograms for Limiting Worst-Case Error Propagation in the Size of Join Results. ACM Trans. Database Syst. 18(4): 709-748(1993)
5. Yannis E. Ioannidis: Universality of Serial Histograms. VLDB 1993: 256-267
6. Jeffrey F. Naughton, S. Seshadri: On Estimating the Size of Projections. ICDT 1990: 499-513
7. Meng Chang Chen, Lawrence McNamee, Norman S. Matloff: Selectivity Estimation Using Homogeneity Measurement. ICDE 1990: 304-310
8. Danièle Gardy, Claude Puech: On the Effects of Join Operations on Relation Sizes. ACM Trans. Database Syst. 14(4): 574-603(1989)
9. Rafiul Ahad, K. V. Bapa Rao, Dennis McLeod: On Estimating the Cardinality of the Projection of a Database Relation. ACM Trans. Database Syst. 14(1): 28-40(1989)
10. Michael V. Mannino, Paicheng Chu, Thomas Sager: Statistical Profile Estimation in Database Systems. ACM Comput. Surv. 20(3): 191-221(1988)
11. Brad T. Vander Zanden, Howard M. Taylor, Dina Bitton: Estimating Block Accessses when Attributes are Correlated. VLDB 1986: 119-127
12. Francesco M. Malvestuto: Modelling Large Bases of Categorial Data With Acyclic Schemes. ICDT 1986: 323-340
13. Nabil Kamel, Roger King: A Model of Data Distribution Based on Texture Analysis. SIGMOD Conference 1985: 319-325
14. Larry Kerschberg, Peter D. Ting, S. Bing Yao: Query Optimization in Star Computer Networks. ACM Trans. Database Syst. 7(4): 678-711(1982)
15. T. H. Merrett: Comments on "Note on the Expected Size of a Join". SIGMOD Record 13(1): 13(1982)

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