Mixed Integer Programming - Solution Tree Previous Next
Shown above is a summary of the situation after the two subproblems have been solved. The top of the tree represents the LP-relaxation of the whole MIP problem. It is the currently selected node. Also shown are the consequent branching variable and the new constraint added for each of the subproblems (represented by the two lower nodes). The table depicts the lower and upper bounds, and the optimal value for each variable at each node. For each variable, the top number is the lower bound, the middle number the optimal value, and the bottom number the upper bound.