What are the different types of optimization problems?
Optimization problems can be categorized into several types, including linear, nonlinear, integer, and combinatorial optimization.
Can you explain linear optimization?
Linear optimization involves maximizing or minimizing a linear objective function, subject to linear constraints.
What about nonlinear optimization?
Nonlinear optimization deals with problems where the objective function or constraints are nonlinear, making them more complex.
What is integer optimization?
Integer optimization requires some or all variables to be integers, often used in scheduling and resource allocation.
Can you give an example of a combinatorial optimization problem?
A classic example is the traveling salesman problem, where the goal is to find the shortest possible route visiting a set of cities.
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