Optimal non-uniform wire-sizing under the Elmore delay model

  • Authors:
  • Chung-Ping Chen;Hai Zhou;D. F. Wong

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

  • Venue:
  • Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
  • Year:
  • 1997

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Abstract

We consider non-uniform wire-sizing for general routing trees under the Elmore delay model. Three minimization objectives are studied: (1) total weighted sink-delays; (2) total area subject to sink-delay bounds; and (3) maximum sink delay. We first present an algorithm NWSA-wd for minimizing total weighted sink-delays based on iteratively applying the wire-sizing formula. We show that NWSA-wd always converges to an optimal wire-sizing solution. Based on NWSA-wd and the Lagrangian relaxation technique, we obtained two algorithms NWSA-db and NWSA-md which can optimally solve the other two minimization objectives. Experimental results show that our algorithms are efficient both in terms of runtime and storage. For example, NWSA-wd, with linear runtime and storage, can solve a 6201-wire segment routing-tree problem using about 1.5-second runtime and 1.3-MB memory on an IBM RS/6000 workstation.