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Prediction of wiring space requirements for LSI

Published: 01 January 1977 Publication History

Abstract

A stochastic model is developed for estimating wiring space requirements for one-dimensional layouts. This model uses as input the number of devices in the complex to be wired, the average length of a connection, and the average number of connections per device, to compute the probability of successfully wiring the devices as a function of the number of tracks provided.
A heuristic approach is used to extend this model to the two-dimensional case, and tested against experimen-tal studies. Satisfactory agreement is found between a priori calculations of track requirements for the two-dimensional case against global wiring solutions for artificially generated problems, and for some layouts of actual logic complexes.

References

[1]
E.N. Gilbert, "Random Minimal Trees", SIAM J. Appl. Math. 13 (1965) pp. 376-387.
[2]
W.E. Donath, "Statistical Properties of the Placement of a Graph", SIAM J. Appl. Math. 16 (1968) pp. 376-387.
[3]
W.E. Donath, "Placement and Average Interconnection Lengths of Computer Logic", IBM Research Report 4610, to be published IEEE Journal of Solid State.
[4]
B.S. Landman and R. L. Russo, "On a Pin Versus Block Relationship for Partitions of Logic Graphs", IEEE Trans. on Computers C-20 (1971) pp. 1469-1479.
[5]
M. Feuer, "Connectivity of Random Logic", IBM Internal Report, 1974 (to be published).
[6]
W.E. Donath, "Equivalence of Memory to Random Logic", IBM Journal of Research and Development 18 (1974) pp. 401-407; see also "Stochastic Model of the Computer Logic Design Process", IBM Research Report RC 3136.
[7]
K. Khokhani and A. M. Patel, "The Chip Layout Problem: A Placement Procedure for LSI", Proceedings 14th Design Automation Workshop, New Orleans, La, June 22, 1977.
[8]
I. Sutherland and D. Oestreicher, "How Big Should a Printed Circuit Board Be?", IEEE Trans. on Comp., May 1973, C-22, pp. 537-542.
[9]
K.A. Chen, M. Feuer, K. Khokhani, N. Nan, S. Schmidt, "The Chip Layout Problem: An Automatic Wiring Procedure", Proceedings 14th Design Automation Workshop, New Orleans, La, June 22, 1977.

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  • (2000)Cost based tradeoff analysis of standard cell designsProceedings of the 2000 international workshop on System-level interconnect prediction10.1145/333032.333043(129-135)Online publication date: 8-Apr-2000
  • (1999)A method of measuring nets routability for MCM's general area routing problemsProceedings of the 1999 international symposium on Physical design10.1145/299996.300069(186-192)Online publication date: 12-Apr-1999
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cover image ACM Conferences
DAC '77: Proceedings of the 14th Design Automation Conference
January 1977
507 pages

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IEEE Press

Publication History

Published: 01 January 1977

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Overall Acceptance Rate 1,770 of 5,499 submissions, 32%

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Cited By

View all
  • (2000)Quality of EDA CAD ToolsProceedings of the 1st International Symposium on Quality of Electronic Design10.5555/850998.855839Online publication date: 20-Mar-2000
  • (2000)Cost based tradeoff analysis of standard cell designsProceedings of the 2000 international workshop on System-level interconnect prediction10.1145/333032.333043(129-135)Online publication date: 8-Apr-2000
  • (1999)A method of measuring nets routability for MCM's general area routing problemsProceedings of the 1999 international symposium on Physical design10.1145/299996.300069(186-192)Online publication date: 12-Apr-1999
  • (1987)A discrete heuristics approach to predictive evaluation of semi-custom IC layoutsProceedings of the 24th ACM/IEEE Design Automation Conference10.1145/37888.38010(770-776)Online publication date: 1-Oct-1987
  • (1986)PLESTProceedings of the 23rd ACM/IEEE Design Automation Conference10.5555/318013.318088(467-473)Online publication date: 2-Jul-1986
  • (1984)On the relation between wire length distributions and placement of logic on master slice ICsProceedings of the 21st Design Automation Conference10.5555/800033.800891(710-711)Online publication date: 25-Jun-1984
  • (1983)A topology for semicustom array-structured LSI devices, and their automatic customisationProceedings of the 20th Design Automation Conference10.5555/800032.800743(675-681)Online publication date: 27-Jun-1983
  • (1982)Philo-a VLSI design systemProceedings of the 19th Design Automation Conference10.5555/800263.809202(163-169)Online publication date: 1-Jan-1982
  • (1982)IBM 3081 system overview and technologyProceedings of the 19th Design Automation Conference10.5555/800263.809190(75-82)Online publication date: 1-Jan-1982

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