In a multi-objective LP, a solution that is optimal for one of the individual ob

Question

In a multi-objective LP, a solution that is optimal for one of the individual objectives is necessarily non-dominated. T F If a solution is dominated, it must be dominated by at least one non-dominated solution. T F It is possible for a dominated solution to be dominated by another dominated solution. T F Suppose that many feasible solutions have been found for an LP with two objective functions. Six of these solutions are non-dominated and the rest are dominated. If a third objective were added to the LP, one or more of the dominated solutions could potentially become non-dominated. T F

Explanation / Answer

8) T since solutions to a multi-objective optimization problem are mathematically expressed in terms of non-dominated or superior points.

9) T The ideal point should be dominated by atleast one of the potentially non-dominated solutions or points which already exists.

10) T

11)T

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