The constrained via minimization problem for PCB and VLSI design

  • Authors:
  • Xiao-Ming Xiong;Ernest S. Kuh

  • Affiliations:
  • Bell Laboratories, 101 Crawfords Corner Rd., Holmdel, NJ;Bell Laboratories, 101 Crawfords Corner Rd., Holmdel, NJ

  • Venue:
  • DAC '88 Proceedings of the 25th ACM/IEEE Design Automation Conference
  • Year:
  • 1988

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Abstract

A new via minimization approach is presented for two layer routing of printed circuit boards and VLSI chips. We have analyzed and characterized different aspects of the problem and have derived an equivalent graph model for the problem from the linear programming formulation. Based on the analysis of our unified formulation, we posed a practical heuristic algorithm. The algorithm can handle both grid-based and gridless routing. Also, an arbitrary number of wires is allowed to intersect at a via and we allow both Manhattan and knock-knee routings.