One way to find an optimal solution to the IP problem is to:
A) use a B&B technique
B) use LP relaxation and round the values of the decision variables up to the nearest integer value
C) use LP relaxation and round the values of the decision variables down to the nearest integer value
D) use LP relaxation and round 50 percent of the decision variable values down to the nearest integer value and the remaining 50 percent up to the nearest integer value

Question

Quizplus · Accepted Answer

Using a branch-and-bound (B&B) technique is a common method for finding an optimal solution to an integer programming problem. B&B algorithms systematically search through the feasible region of the problem, dividing it into smaller subproblems and solving them recursively, while also keeping track of the best possible objective value found so far. By pruning the search tree whenever the subproblems cannot lead to a better solution than the best found so far, B&B techniques can efficiently converge to an optimal solution of an IP problem. The other options involve LP relaxation and rounding, which can provide heuristic solutions but do not guarantee that the solution is optimal.

One Way to Find an Optimal Solution to the IP