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RE: Topology to LP converter

  • From: nbwaite@attglobal.net
  • Date: Sun, 30 Nov 2003 03:56:48 -0500 (EST)
  • Resent-Date: Sun, 30 Nov 2003 04:21:01 -0500
  • To: mpls-ops@mplsrc.com

For post of

     Date: Sat, 29 Nov 2003 20:57:26 -0500 (EST)

Errata:

For

     Then we ask for values of n variables x to make
     'objective function' f(x) as small as possible while
     maintaining g(x) >= 0 (each of the m values of g(x) >=
     0).

it would read better with

     Then we ask for values of n variables x to make
     'objective function' f(x) as small as possible while
     maintaining g(x) >= 0 (each of the m values of g(x) is >=
     0).

For

     Experience showed that the simplex algorithm is
     shockingly fast, in practice commonly requiring about 2
     to 3 times m 'iterations' (where each iteration takes
     about m**3 arithmetic operations) for a solution.

have m in one too many places.  Could say that the algorithm
takes 2 to 3 times m**3 arithmetic operations.  Or could say

     Experience showed that the simplex algorithm is
     shockingly fast, in practice commonly requiring about 2
     to 3 times m 'iterations' (where each iteration takes
     about m**2 arithmetic operations) for a solution.

For

     Guess at the crucial angle; assign cost 1 per unit of
     flow for all arcs with angle less than this critical
     angle and 0 for the rest, and solve the min cost flow
     problem for total flow amount n and with no more than 1
     unit of flow on each arc.

change to

     Guess at the crucial angle; assign cost 1 per unit of
     flow for all arcs with angle greater than this critical
     angle and 0 for the rest, and solve the min cost flow
     problem for total flow amount n and with no more than 1
     unit of flow on each arc.

Norman B. Waite, Ph.D.
Founder
Network Architectonics
9 Fox Run
Wappingers Falls, NY 12590
nbwaite@attglobal.net
845-227-7821

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