IBM Journal of Research and Development
IBM Skip to main content
  Home     Products & services     Support & downloads     My account  

  Select a country  
Journals Home  
  Systems Journal  
Journal of Research
and Development
    Current Issue  
    Recent Issues  
    Papers in Progress  
    Search/Index  
    Orders  
    Description  
    Patents  
    Recent publications  
    Author's Guide  
  Staff  
  Contact Us  
  Related links:  
     IBM Research  

IBM Journal of Research and Development  
Volume 25, Number 2/3, Page 152 (1981)
VLSI Circuit Design
  Full article: arrowPDF   arrowCopyright info





   

Wire Length Distribution for Placements of Computer Logic

by W. E. Donath
It is shown from simple theoretical considerations that the distribution fk of wire lengths for a good two-dimensional placement on a square Manhattan grid should be of the form fk = g/kγ (1 ≤ k ≤ L) and fk ≈ 0 (k > L), where γ is related to the Rent partitioning exponent p by the equation 2p + γ ≈ 3. Three placements were investigated and the distribution functions for wire length were found to follow the above relationships.
Related Subjects: Integrated circuit design; LSI; LSI design automation; Mathematics (applied)