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Wire Length Distribution for Placements of Computer Logic
Abstract
It is shown from simple theoretical considerations that the distribution ƒkof wire lengths for a good two-dimensional placement on a square Manhattan grid should be of the form ƒk= g/kγ(1 ≤ k ≤ L) and ƒk≈ 0 (k > L), where γ is related to the Rent partitioning exponent p by the equation 2p + γ ≈ 3. Three placements were investigated and the distribution functions for wire length were found to follow the above relationships.
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Cited by
A stochastic wire-length distribution for gigascale integration (GSI). I. Derivation and validation
Davis, J. A., De, V. K., & Meindl, J. D. (1998) · IEEE Transactions on Electron Devices · doi:10.1109/16.661219 · Cited by 329
Lanzerotti, M. Y., Fiorenza, G., & Rand, R. A. (2005) · IBM Journal of Research and Development · doi:10.1147/rd.494.0777 · Cited by 47
Metadata
- Authors
- Donath, W. E.
- Venue
- IBM Journal of Research and Development
- Publisher
- IBM
- Published
- 1981-03
- Volume
- 25
- Issue
- 3
- Pages
- 152-155
- ISSN
- 0018-8646 (ISSN-L)
- OpenAlex
- W2011786775
- Cited by
- 168
- References
- 0
- FWCI
- 2.21
- Type
- journal article
- Language
- en
- Open access
- closed
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- Donath, W. E. (1981). Wire Length Distribution for Placements of Computer Logic. IBM Journal of Research and Development. https://doi.org/10.1147/rd.252.0152
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
