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An optimum layer assignment for routing in ICs and PCBs.

Published: 29 June 1981 Publication History

Abstract

An optimum layer assignment of interconnections in IC and two-layer PCB is derived. The assignment is optimal in the sense that it is achieved through a global minimization of contacts or vias. The problem is formulated as a 0,1 integer program and solved using a branch and bound technique. There are no constraints on contact location or on the number of wires that can be connected at each contact. Applications of this procedure to VLSI circuits are discussed.

References

[1]
Hashimoto, A. and J. Stevens, Wire routing by optimizing channel assignment within large apertures, Proc. 8th Design Automation Workshop, 1971, pp. 155-169.
[2]
Stevens, K.R., and W.M. van Cleemput, Global via elimination in a generalized routing environment, Proc. ISCAS, 1979, pp. 689-692.
[3]
Kajitani, Y., On via hole minimization of routings on a 2-layer board, Proc. ICCC, 1980, pp. 295-298.
[4]
Hu, T.C., Integer programming and network flows, Addison-Wesley Publishing Co., Reading, MA., 1970.
[5]
Hachtel, G.D., On the sparse tableau approach to optimal layout, Proc. ICCC, 1980, pp. 1019-1022.
[6]
Land, A.H., and S. Powell, Fortran codes for mathematical programming: linear, quadratic and discrete, J. Wiley and Sons, London, 1973.

Cited By

View all
  • (2009)BoxRouter 2.0ACM Transactions on Design Automation of Electronic Systems10.1145/1497561.149757514:2(1-21)Online publication date: 7-Apr-2009
  • (1998)A graph-partitioning-based approach for multi-layer constrained via minimizationProceedings of the 1998 IEEE/ACM international conference on Computer-aided design10.1145/288548.289065(426-429)Online publication date: 1-Nov-1998
  • (1997)Performance-Driven Layer Assignment by Integer Linear Programming and Path-Constrained Hypergraph PartitioningJournal of Heuristics10.1023/A:10096831100273:3(225-243)Online publication date: 1-Nov-1997
  • Show More Cited By

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cover image ACM Conferences
DAC '81: Proceedings of the 18th Design Automation Conference
June 1981
899 pages

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IEEE Press

Publication History

Published: 29 June 1981

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

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Cited By

View all
  • (2009)BoxRouter 2.0ACM Transactions on Design Automation of Electronic Systems10.1145/1497561.149757514:2(1-21)Online publication date: 7-Apr-2009
  • (1998)A graph-partitioning-based approach for multi-layer constrained via minimizationProceedings of the 1998 IEEE/ACM international conference on Computer-aided design10.1145/288548.289065(426-429)Online publication date: 1-Nov-1998
  • (1997)Performance-Driven Layer Assignment by Integer Linear Programming and Path-Constrained Hypergraph PartitioningJournal of Heuristics10.1023/A:10096831100273:3(225-243)Online publication date: 1-Nov-1997
  • (1991)Constrained via minimization with practical considerations for multi-layer VLSI/PCB routing problemsProceedings of the 28th ACM/IEEE Design Automation Conference10.1145/127601.127629(60-65)Online publication date: 1-Jun-1991
  • (1989)The Via Minimization Problem is NP-CompleteIEEE Transactions on Computers10.1109/12.4213538:11(1604-1608)Online publication date: 1-Nov-1989
  • (1988)The constrained via minimization problem for PCB and VLSI designProceedings of the 25th ACM/IEEE Design Automation Conference10.5555/285730.285823(573-578)Online publication date: 1-Jun-1988
  • (1988)Fast algorithm for optimal layer assignmentProceedings of the 25th ACM/IEEE Design Automation Conference10.5555/285730.285820(554-559)Online publication date: 1-Jun-1988
  • (1988)Layer Assignment Problem for Three-Layer RoutingIEEE Transactions on Computers10.1109/12.461637:5(625-632)Online publication date: 1-May-1988
  • (1986)A preprocessor for the via minimization problemProceedings of the 23rd ACM/IEEE Design Automation Conference10.5555/318013.318144(702-707)Online publication date: 2-Jul-1986
  • (1982)An analytical method for compacting routing area in integrated circuitsProceedings of the 19th Design Automation Conference10.5555/800263.809182(30-37)Online publication date: 1-Jan-1982

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