Mixed Integer Programming - Conclusion Previous Next
Subproblem 6 is fathomed by Test 2 because its LP-relaxation has no feasible solutions. Subproblem 5 is fathomed by Test 2 because the optimal solution for it's LP-relaxation (highlighted above) has integer values for both integer variables.Furthermore, because its objective (7) exceeds the current incumbent (6), this solution becomes the current incumbent.
At this point, all the terminal nodes of the tree are fathomed, so the solution tree is now complete. The optimal solution of the original problem is the current incumbent, i.e.,  with .
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