Introduction to Optimization

In this chapter, the basic principles of optimization and the mathematical formulation of the optimization problem have been provided. Besides, the categorization of the optimization problems has been presented in terms of the number of constraints, the structure of the variables, and linearity of the formulation elements. Considering the most familiar type of optimization problem, linear optimization approach has been examined in details. Then, some remarkable optimization techniques under the classification of unconstrained and constrained techniques have been investigated. Moreover, as regarding the increasing trend in the utilization of intelligent constrained optimization methods for the implementation and operational problems of renewable energy technologies, the literature have been reviewed.