A polynomial time optimal algorithm for simultaneous buffer and wire sizing

  • Authors:
  • C. C. N. Chu;D. F. Wong

  • Affiliations:
  • Department of Computer Sciences, University of Texas at Austin, Austin, TX;Department of Computer Sciences, University of Texas at Austin, Austin, TX

  • Venue:
  • Proceedings of the conference on Design, automation and test in Europe
  • Year:
  • 1998

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Abstract

An interconnect joining a source and a sink is divided into fixed-length uniform-width wire segments, and some adjacent segments have buffers in between. The problem we considered is to simultaneously size the buffers and the segments so that the Elmore delay from the source to the sink is minimized. Previously, no polynomial time algorithm for the problem has been reported in literature. In this paper, we present a polynomial time algorithm \mathit{SBWS}\ for the simultaneous buffer and wire sizing problem. \mathit{SBWS}\ is an iterative algorithm with guaranteed convergence to the optimal solution. It runs in quadratic time and uses constant memory for computation. Also, experimental results show that \mathit{SBWS}\ is extremely efficient in practice. For example, for an interconnect of 10000 segments and buffers, the CPU time is only 0.127 second.