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The phrase "solve instances" is grammatically correct and can be used in written English.
It is typically used when discussing problems or tasks that require finding a solution. Example: The mathematician was able to solve instances of the complex equation using advanced techniques.
Exact(29)
The proposed exact methods are able to optimally solve instances with up to 60 nodes.
We then propose a primal decomposition method to solve instances of the problem to optimality.
We are also able to solve instances with up to 1000 customers.
The hybrid method presented herein allowed to solve instances with up to six AGVs.
The PCA maps give a valuable indication of the combination of features characterizing easy and hard to solve instances.
The proposed method is robust enough to solve instances up to 100 nodes having 4 million integer variables.
Similar(31)
The model is capable of solving instances up to (5 × 3).
We propose an efficient heuristic approach for solving instances of the Single String Planning Problem (SSPP) arising in the liner shipping industry.
So, heuristic methods are necessary to be used for solving instances with large size in a reasonable amount of time.
We propose designs for solving instances of Hamiltonian path, Traveling Salesman, Clique, Independent Set, Vertex Cover, Partition, 3-SAT, 3D-matching, and the Permanent.
The GPU implementation of SGS also shows an excellent scalability behavior when solving instances with a large number of test cases.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com