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Worst-case analysis of memory allocation algorithms
Open accessAbstract
Various memory allocation problems can be modeled by the following abstract problem. Given a list A = (α1,α2,...αn,) of real numbers in the range (0, 1], place these in a minimum number of “bins” so that no bin holds numbers summing to more than 1. We let A* be the smallest number of bins into which the numbers of list A may be placed. Since a general placement algorithm for attaining A* appears to be impractical, it is important to determine good heuristic methods for assigning numbers of bins. We consider four such simple methods and analyze the worst-case performance of each, closely bounding the maximum of the ratio of the number of bins used by each method applied to list A to the optimal quantity A*.
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Cited by
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Garey, M. R., Johnson, D. S., & Stockmeyer, L. (1976) · Theoretical Computer Science · doi:10.1016/0304-3975(76)90059-1 · Cited by 2,059
Self-citationSome simplified NP-complete problems
Garey, M. R., Johnson, D. S., & Stockmeyer, L. (1974) · Proceedings of the sixth annual ACM symposium on Theory of computing - STOC '74 · doi:10.1145/800119.803884 · Cited by 614
Self-citationTensorFlow Lite Micro: Embedded Machine Learning on TinyML Systems
David, R., Duke, J., Jain, A., Reddi, V. J., Jeffries, N., Li, J., Kreeger, N., Nappier, I., Natraj, M., Regev, S., et al. (2020) · arXiv · doi:10.48550/arxiv.2010.08678 · Cited by 470
Bin Packing Approximation Algorithms: Survey and Classification
Coffman, E. G., Csirik, J., Galambos, G., Martello, S., & Vigo, D. (2013) · Handbook of Combinatorial Optimization · doi:10.1007/978-1-4419-7997-1_35 · Cited by 289
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Metadata
- Authors
- Garey, M. R., Graham, R. L., & Ullman, J. D.
- Venue
- Proceedings of the fourth annual ACM symposium on Theory of computing - STOC '72
- Publisher
- ACM Press
- Published
- 1972
- Pages
- 143-150
- OpenAlex
- W2058200712
- Cited by
- 178
- References
- 0
- FWCI
- 27.27
- Type
- conference paper
- Language
- en
- Open access
- bronze
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- Garey, M. R., Graham, R. L., & Ullman, J. D. (1972). Worst-case analysis of memory allocation algorithms. Proceedings of the fourth annual ACM symposium on Theory of computing - STOC '72. https://doi.org/10.1145/800152.804907
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