Abstract
Diversity minimization is a class of large-scale combinatorial optimization problems arising from the assignment of processors to database fragments in a parallel database environment. These problems may be formulated as nonconvex assignment problems, but they are very difficult to solve via standard optimization techniques because of their large size and because they have many alternative optima. The method described here utilizes theoretical results regarding the form of optimal solutions as the basis for the development of a high-level parallel genetic algorithm. In effect, the genetic operators serve to produce good starting points and neighborhoods for exploration by a heuristic that uses knowledge of the small number of alternatives for desirable processor assignment patterns. Computational results from a parallel implementation of the algorithm on a Connection Machine CM-5 are reported, including the computation of optimal solutions to a million-variable diversity minimization problem.
This research was partially supported by the Air Force Office of Scientific Research under grant 89-0410, and by the National Science Foundation under grants CCR-8907671 and CDA-9024618.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K. Bennett, M. C. Ferris, and Y. E. Ioannidis. A genetic algorithm for database query optimization. In Proceedings of the Fourth International Conference on Genetic Algorithms. Morgan Kaufman, 1991.
D. Bitton, D. DeWitt, and C. Turbyfill. Benchmarking database systems: A systematic approach. In Proceedings of the 1983 VLDB Conference, October 1983.
H. Boral, W. Alexander, L. Clay, G. Copeland, S. Danforth, M. Franklin, B. Hart, M. Smith, and P. Valduriez. Prototyping Bubba, a highly parallel database system. IEEE Transactions on Knowledge and Data Engineering, 2 (1), March 1990.
D. DeWitt, S. Ghandeharizadeh, D. Schneider, A. Bricker, H. Hsiao, and R. Rasmussen. The Gamma database machine project. IEEE Transactions on Knowledge and Data Engineering, 2 (1), March 1990.
S. Ghandeharizadeh. Physical Database Design in Multiprocessor Systems. PhD thesis, University of Wisconsin — Madison, 1990. Computer Sciences technical report #964.
D. E. Goldberg. Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, 1989.
G. Graefe. Volcano: An extensible and parallel dataflow query processing system. Computer science technical report, Oregon Graduate Center, Beaverton, OR, June 1989.
M. Stonebraker, D. Patterson, and J. Ousterhout. The design of XPRS. In Proceedings of the 1988 VLDB Conference, Los Angeles, CA, September 1988.
Tandem Performance Group. A benchmark non-stop SQL on the debit credit transaction. In Proceedings of the 1988 Sigmod Conference, Chicago, IL, June 1988.
Thinking Machines Corporation. The Connection Machine CM-5 Technical Summary, October 1991.
J. Yackel. Minimum-Perimeter Tiling for Optimization of Parallel Computation. PhD thesis, University of Wisconsin — Madison, 1993. in preparation.
J. Yackel and R. R. Meyer. Minimum-perimeter domain decomposition. Computer Sciences Technical Report 1078, University of Wisconsin — Madison, Madison, WI, February 1992.
J. Yackel and R. R. Meyer. Optimal tilings for parallel database design. In P. M. Pardalos, editor, Advances in Optimization and Parallel Computing, pages 293–309. North-Holland, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Kluwer Academic Publishers
About this chapter
Cite this chapter
Meyer, R.R., Yackel, J. (1994). Large-Scale Diversity Minimization via Parallel Genetic Algorithms. In: Hager, W.W., Hearn, D.W., Pardalos, P.M. (eds) Large Scale Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3632-7_15
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3632-7_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3634-1
Online ISBN: 978-1-4613-3632-7
eBook Packages: Springer Book Archive