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Then there exists an integer solution a such that a ≡ ai (mod ni) for each i = 1, 2, …, k.
The main advantage of the method comes from the fact that an integer solution is guaranteed.
It is verified by carrying out a case study on an actual oil sands dataset, and has resulted in an integer solution within a 2% gap to the optimality.
The main advantage of their proposed method is to guarantee in obtaining an integer solution.
Even though, there is an integer solution to the linear relaxation of the expanded formulation that is also feasible for the linear relaxation of the objective function.
Since L-CG-MEC uses a Branch-and-Bound algorithm to find an integer solution, we cannot claim that we have calculated the optimal solutions.
Similar(50)
In particular the problem admits an optimal integer solution if all the values A ik, B jk are integer.
For a non-integer solution, a rounding strategy can be adopted to determine an approximate integer solution of the QP procedure.
As in the diploid case, a randomized rounding algorithm may then be used to find an approximate integer solution (details of the rounding procedure are omitted for brevity).
The Goemans-Williamson randomized algorithm may then be used to find an approximate integer solution to the problem [ 21].
Furthermore, even if unimodularity does not apply, the corresponding QP still has an optimal integer solution in most cases (Li et al., 2007).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com