Gomory's cutting method (ILP;MILPs Convex Optimization (Non-linear))

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Revision as of 11:15, 15 February 2023 by Admin (talk | contribs) (Created page with "== Time Complexity == $O({2}^n*poly(n, m)$)? (previously $O(n^{3})$) == Space Complexity == $O(nm+m^{2})$ words (See simplex algorithm, but also O(m) variables and constraints are introduced) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word/Real RAM == Year == 1953 == Reference == https://www.cs.uleth.ca/~benkoczi/OR/read/cutting-stock-LP.pdf")
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Time Complexity

$O({2}^n*poly(n, m)$)? (previously $O(n^{3})$)

Space Complexity

$O(nm+m^{2})$ words

(See simplex algorithm, but also O(m) variables and constraints are introduced)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word/Real RAM

Year

1953

Reference

https://www.cs.uleth.ca/~benkoczi/OR/read/cutting-stock-LP.pdf