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Re: [Help-glpk] Computation Complexity of lpx_integer
From: |
glpk xypron |
Subject: |
Re: [Help-glpk] Computation Complexity of lpx_integer |
Date: |
Thu, 26 Jun 2008 20:30:46 +0200 |
Hello Paul,
if NP != P you cannot expect polynomial time complexity using branch and bound.
The number of nodes in exhaustive search of a binary tree for n decision
variables is 2^^(n+1)-1. The worst case time needed for the implemented Simplex
is exponential in problem size, too.
Best regards
Xypron
-------- Original-Nachricht --------
> Datum: Wed, 25 Jun 2008 11:22:43 +0800 (SGT)
> Von: RC Loh <address@hidden>
> An: address@hidden
> Betreff: [Help-glpk] Computation Complexity of lpx_integer
> Hi,
> I know that the "lpx_integer" and the "lpx_intopt" routines are using the
> branch-and-bound method. Does anyone knows the computation complexity of
> both of the routines? Are they exponential?
> Thank you.
> Rdgs,
> Paul
>
>
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