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A quadratic metric with a simple solution scheme for initial placement

Published: 01 June 1988 Publication History

Abstract

For the initial placement problem a nets-as-points model provides a quadratic cost metric which when minimized localizes the gates. Fixed constraints are added to the cost function so that a minimum is guaranteed to exist, and can be obtained by means of a simple iterative solution. The initial placement is obtained in near linear time. An annular snap-to-grid heuristic completes the initial placement. The nets-as-points metric is shown to produce desirable results.

References

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K.M. Hall. "An r-Dimensional Quadratic Placement Algorithm" Management Science 17, 3 (1970), 219-229.
[2]
C. Cheng and E.S. Kuh. "Module Placement Based on Resistive Network Optimization". {EEE Trans. Computer-Aided Design of Integrated Circuit8 and System8 CAD-3 (1984), 218-225.
[3]
J.P. Blanks. Near-optimal Placement Using z Quadratic Objective Function. Proceedings of the 22nd Design Automation Conference, June, 1985.
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K.M. Just, J.M. Kleinhans, and P.M. Johannes. On the Relative Placement and the Transportation Problem for Standard-Cell Layout. Proceedings of the 23nd Design Automation Conference, June, 1986.
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J. Frankle and R.M. Karp. Circuit Placements and Cost Bounds by Eigenvector Decomposition. Proceedings of the IEEE International Conference on Computer-Aided Design, November, 1986.
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M.A. Breuer. A Class of Min-Cut Placement Algorithms. Proceedings of the 14th Design Automation Conference, 1977, pp. 343-362.
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D.G. Schweikert and B.W. Kernighan. A Proper Model for the Partitioning of Electrical Circuits. Proceedings of the 9th Design Automation Workshop, 1972, pp. 57-62.
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G. Str~n~. Introduction to Applied Atathematics. Wellesley-C~mbridge Press, Wellesley, MA., 1986.
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A. Ralston and P. Rabinowitz. Firet Course in Numerical Analysis. McGraw-Hill Book Company, New York, N.Y., 1978.
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S. Kirkpatrick, C.D. Gelatt, Jr., and M.P. Vecchi. "Optimization by Simulated Annealing". Science 220 (1983), 45-54.
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C.M. Fiduccia and R.M. Mattheyses. A Linear-Time Heuristic for Improving Network Partitions. Proceedings of the 19th Design Automation Conference, 1982, pp. 175-181.
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A.E. Dunlop and B.W. Kernighan. "A Placement Procedure for Layout of VLSI Circuits". IEEE Trans. CAD of IC8 and System8 4, 1 (1985), 92-98.

Cited By

View all
  • (2002)Net Clustering Based Macrocell PlacementProceedings of the 2002 Asia and South Pacific Design Automation Conference10.5555/832284.835380Online publication date: 7-Jan-2002
  • (1992)Net partitions yield better module partitionsProceedings of the 29th ACM/IEEE Design Automation Conference10.5555/113938.110434(47-52)Online publication date: 1-Jul-1992
  • (1991)A general purpose multiple way partitioning algorithmProceedings of the 28th ACM/IEEE Design Automation Conference10.1145/127601.127706(421-426)Online publication date: 1-Jun-1991
  • Show More Cited By

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Published In

cover image ACM Conferences
DAC '88: Proceedings of the 25th ACM/IEEE Design Automation Conference
June 1988
730 pages
ISBN:0818688645

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IEEE Computer Society Press

Washington, DC, United States

Publication History

Published: 01 June 1988

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DAC88
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DAC88: Design Automation Conference
June 12 - 15, 1988
New Jersey, Atlantic City, USA

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DAC '88 Paper Acceptance Rate 125 of 400 submissions, 31%;
Overall Acceptance Rate 1,770 of 5,499 submissions, 32%

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Cited By

View all
  • (2002)Net Clustering Based Macrocell PlacementProceedings of the 2002 Asia and South Pacific Design Automation Conference10.5555/832284.835380Online publication date: 7-Jan-2002
  • (1992)Net partitions yield better module partitionsProceedings of the 29th ACM/IEEE Design Automation Conference10.5555/113938.110434(47-52)Online publication date: 1-Jul-1992
  • (1991)A general purpose multiple way partitioning algorithmProceedings of the 28th ACM/IEEE Design Automation Conference10.1145/127601.127706(421-426)Online publication date: 1-Jun-1991
  • (1989)Efficient final placement based on nets-as-pointsProceedings of the 26th ACM/IEEE Design Automation Conference10.1145/74382.74479(578-581)Online publication date: 1-Jun-1989

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