Operational Research (OR) The resolution of all OR problems go through four phases

First Phase Identification of the problem and collection of all information and data

Second Phase Development of a mathematical model write the objective function and the constraints max f(x) subject to: g(x) = c equality constraints h(x) < d inequality constraints production cannot be negative

Analysis of the problem and solutions research Third Phase Analysis of the problem and solutions research

Fourth Phase Check for solutions

(all of the data for the optimization model are known with certainty) OR PROBLEMS OPTIMIZATION PROBLEM LINEAR PROGRAMMING ... Under Certainty (all of the data for the optimization model are known with certainty) Under Uncertainty (all of the data for the optimization model are not known with certainty)

Optimization problems can be classified into two categories: Problems with continuous variables (Kg, m, ...) Problems with discrete variables (q1, q2, ...)