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The reasons were essentially those already observed, but interestingly enough, the two tools did not (usually) fail on the same instances, meaning that a difficult instance for one tool might not be so difficult for the other.
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"[González] had the character to kick two penalties at very difficult instances," said Díaz.
A testbed of difficult instances of the problem are created to evaluate the performance of the GA.
Difficult instances with up to 50 potential plants and 100 customers, and largest easy instances, can be solved in one CPU hour.
Moreover, quantum annealing proved competitive when compared with the best algorithms on most of the difficult instances from the DIMACS benchmarks.
The CoDE has been used to solve three difficult instances of the design problem, and the optimization goal in each example is easily achieved.
However, as we will show in this paper, some general purpose methods and the ideas on which they are built can provide guidance towards the efficient solution of difficult instances.
Interestingly, the most difficult instances for the latter three models appear to be those with the equal number of facilities and customers.
After each round, it gives more focus to difficult instances and assigns the weight to each individual classifier depending on its overall accuracy.
When talking about "difficult" instances we will refer to ones in which the expected number of randomly found motifs is high.
Using W4 (the smallest forbidden subgraph for monopolar graphs) as a cutting plane also helps little, solving one more instance, but might be useful for difficult instances with long running time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com