Empirical and theoretical studies of the simulated evolution method applied to standard cell placement

  • Authors:

  • R. M. Kling;P. Banerjee

  • Affiliations:

  • Center for Reliable & High-Performance Comput., Illinois Univ., Urbana, IL;-

  • Venue:
  • IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
  • Year:
  • 2006

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Abstract

The authors present a quantitative analysis of the simulated evolution (SE) technique based on a variety of parameters. The measurement results and their relevance to practical implementations are discussed. A mathematical formulation of the SE algorithm is introduced. The associated Markov chain model is thoroughly analyzed. It is shown that the algorithm will hit a global minimum with probability one. The theoretical analysis suggests some modifications to a previously published SE-based method that was applied to cell placement problems. In order to compensate for additional computation times required by the new technique, the authors also introduce a novel hierarchical placement method. It has inherent advantages over the flat method in both CPU time requirements and result quality. It is also shown how a windowing method can be used to significantly reduce computation times