The global optimum solution to a nonlinear programming problems (NLP), in which the objective function must be minimized, is:
A) always larger than the local optimum solution
B) always smaller than the local optimum solution
C) is smaller or equal to the local optimum solution
D) is larger or equal to the local optimum solution

Question

Quizplus · Accepted Answer

The global optimum solution is the best possible solution across the entire feasible region, while the local optimum solution is the best possible solution only in a localized region. It is possible for the global optimum solution to be equal to the local optimum solution, but it cannot be larger since it is the best possible solution overall. Therefore, the global optimum solution is either smaller or equal to the local optimum solution, making option C the correct choice.

The Global Optimum Solution to a Nonlinear Programming Problems (NLP)