True/False questions on integer programming
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True/False
1. Rounding non-integer solution values up to the nearest integer value will still result in a feasible solution to an integer programming problem.
2. Rounding non-integer solution values up to the nearest integer value will still result in a feasible solution.
3. The solution to the LP relaxation of a minimization integer linear program provides an upper bound for the value of the objective function.
4. If we are solving a 0-1 integer programming problem, the constraint x1 = x2 s a conditional constraint.
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Solution Summary
Explanations and answers to four true/false questions on integer programming.
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True/False
1 Rounding non-integer solution values up to the nearest integer value will still result in a feasible solution to an integer programming problem.
FALSE
The rounded solution may be unfeasible. If we round up non-integer solution values up to the nearest integer value the point may lie outside the feasible region, making this solution unfeasible.
2. ...
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