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Monte Carlo Methods for 2-D Compaction


Mosteller, Richard Craig (1986) Monte Carlo Methods for 2-D Compaction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/mwrq-t026.


A new method of compaction for VLSI circuits is presented. Compaction is done simultaneously in two dimensions and uses a Monte Carlo simulation method often referred to as simulated annealing for optimization. A new curvilinear representation for VLSI circuits, specifically chosen to make the compaction efficient, is developed. Experiments with numerous cells are presented that demonstrate this method to be as good as, or better than the hand compaction previously applied to these cells. Hand compaction was the best previously known method of compaction. An experimental evaluation is presented of how the run time complexity grows as the number, N, of objects in the circuit increases. The results of this evaluation indicates that the run time growth is order O(N log(A))f(d) where f(d) is a function of the density, d, and A is the initial cell area. The function f(d) appears to have negligible or no dependence on N. A hierarchical composition approach is developed which takes advantage of the capability of the curvilinear representation and the 2-dimensional compaction technique.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Computer Science
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Computer Science
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Kajiya, James Thomas
Thesis Committee:
  • Kajiya, James Thomas (chair)
  • Seitz, Charles L.
  • Barr, Alan H.
  • Frey, Alexander H.
  • Goodman, Rodney M.
  • Suaya, Roberto
Defense Date:19 May 1986
Record Number:CaltechETD:etd-03202008-091615
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1035
Deposited By: Imported from ETD-db
Deposited On:03 Apr 2008
Last Modified:16 Apr 2021 22:26

Thesis Files

PDF (Mosteller_rc_1986.pdf) - Final Version
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