Minimization Problems

Definition

Minimization problems are a type of optimization problem where the objective is to find the minimum value of a certain quantity within given constraints. These problems involve finding critical points and determining if they correspond to minimum values.

Related terms

Maximum Value:

In contrast to minimization problems, maximum value refers to finding the highest possible value for a quantity within given constraints.

Feasible Region: The feasible region represents all possible solutions that satisfy the constraints in an optimization problem. It is often depicted graphically as a shaded area on a coordinate plane.

Lagrange Multipliers: Lagrange multipliers are used in constrained optimization problems when there are additional equations or inequalities that need to be considered alongside the objective function and constraints.