Nonlinear integer programming models offer additional challenges for solution algorithms because:
A) The values of reduced gradients are valid only at the point of the optimal solution.
B) The values of Lagrange multipliers are valid only at the point of the optimal solution.
C) The generalized reduced gradient algorithm cannot differentiate local and global optima.
D) All of the above

Question

Quizplus · Accepted Answer

Nonlinear integer programming models are more complex due to the reasons listed in all the options. Reduced gradients and Lagrange multipliers are specific to the optimal solution point, and distinguishing between local and global optima is a challenge for algorithms like the generalized reduced gradient algorithm.

Nonlinear Integer Programming Models Offer Additional Challenges for Solution Algorithms