Can linear and nonlinear optimization problems use the same

MIS 665 Topic 7 Discussions GCU

MIS 665 Topic 7 DQ 1

Can linear and nonlinear optimization problems use the same approach to find a solution? For example, if the GRG algorithm is used to solve a nonlinear optimization problem, will it work to solve a linear optimization problem? Discuss whether or not the GRG algorithm will always find a corner point similar to the feasible-region approach.

MIS 665 Topic 7 DQ 2

Nonlinear optimization problems can have multiple solutions, and a solution can be local or global. Can there be multiple local solutions? Explain your answer. Can there be multiple global solutions? Explain our answer.