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8
votes
2
answers
294
views
Can we compute in polynomial time, an upper bound on an optimal solution of an integer linea...
Consider the following integer linear program (where $A$ is an integer matrix, $b$ an integer vector, and $c$ a positive integer vector):
$$
\text{minimize}~~~ c\cdot x
\\
\text{subject to}~~~ A\cdot …
1
vote
1
answer
103
views
Integrality gap and complexity classes
I would like to know if there exist some complexity classes that are defined according to the integrality gap of their problems?
In particular, is there a class of problems for which their integrality …